CREATION DIVINE
Supernature, Creation, and the Divine/
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However, The concept of intelligence and magnificent order, can be validated by the results of scientific investigation.
The fact
that God speaks uniquely through the Bible does not reduce the biblical writers to typewriters. Each book gives clear evidence of
its human history. The writers and editors were plainly not automatic writing
machines.
The Bible is a record book that contains a history of God's relationship with mankind, but it is man's record. God may have helped to keep this record correct in its essential details. But like everything that humans touch, the Bible has flaws. If people would allow it, God could continue to give us corrections and interpretation to help us keep this record accurate.
There are those who claim
that the Bible is perfect and infallible. Some even claim that the Bible
contains within its covers the answer to every question, making all other books
unnecessary. The people who make these claims put the Bible into the place of
God, giving the Bible attributes that belong only to God, such as perfection. In
effect they worship the Bible. This worship can become a kind of idolatry.
This means that we should not place more emphasis on the Bible as being the
"inerrant word" than we do in God being the inerrant one. Some people seem to
believe that if they find a single error or contradiction among the over sixty
books within the Bible, ( books written in different ages, in ancient languages,
by hand ) then none of it is true. Further, they make no distinction between
objective and subjective truths. One is truly holy, and that is God. If we put
anything before him it is idolatry - even the Bible! It's a matter of priority.
When God is not at the top of our priorities, then whatever is at the top is our
god, even if it is the Bible.
These same people obviously have not read the two different genealogies of Jesus
in the gospels of Matthew and Luke, and yet expect you to believe that the
genealogy found in Genesis is a completely reliable timeline; Ignoring the fact
that the Bible itself says not to argue about foolish questions and genealogies!
If we believe that the God of creation is the God of redemption, and that the
God of redemption is the God of creation, then we are committed to a positive
theory of harmonization between science and evangelicalism. Therefore, in place
of resentment or suspicion or vilification toward science and scientists, we
need to have a spirit of respect and gratitude. In place of a narrow,
hyperdogmatic attitude toward science, we should be careful, reserved, and
open-minded.
That being said; The `theory of evolution' is not able to make predictions, so
far as ecology is concerned, but is instead a formula which can be used only to
classify models and to show the relationships which such a classification might
imply . . Webster's New World Dictionary defines a model as "a generalized,
hypothetical description, often based on an analogy, used in analyzing or
explaining something."
This is true for any theory; Theories are not facts...
There are many alternatives to fundamentalist creationism. Some of the
alternatives are: theistic evolution and old-earth creationism.
Scientific creationism is concerned with genetics, biology, paleontology,
physics, anthropology, and other sciences, not theology. Conversely, "Biblical
Creation" relies on a strictly literal interpretation of the Biblical account of
Genesis (usually this is in English and not the original Hebrew).
Evolutionists assign dates to matter, and an approximate date on the creation of
the universe, but they do not mention what initially created that matter, or
where it came from. Similarly, the scientific creation model does not address
such issues. As in the evolution model, of which many individuals believe God
guided the process, one could conceivably believe an atheistic approach to
creation where kinds were created fully functional and developed spontaneously
and instantaneously out of nothing with no help from any deity. The fact is,
theistic beliefs are irrelevant to the purely scientific study of creation.
Essentially there are only two models of origins, creation and evolution; WHY?
Each model is a complete world view, a philosophy of life and meaning, of origin
and destiny. Neither can easily be confirmed or falsified by the scientific
method, since neither can be tested or observed experimentally, and therefore
they must both be accepted on faith. Nevertheless, each is also a scientific
model, since each seeks to explain within its framework all of the real data of
science and history. Evolutionism is at least as religious as creationism, these
are two fully comparable systems.
The scientist who set up the currently used classification system was a
creationist. Carolus Linnaeus intended the species to be the same as a created
kind. Species is the Latin word for kind.
Hence, the dog, the wolf, and the coyote are classified as separate species
because of their external physical characteristics. However, they can all
interbreed and produce fertile offspring. Therefore, they should all be placed
in the same species and the same kind. Some feel that it may be possible to
alter the system of taxonomy used by biologists and paleontologists to group
species into kinds. As yet, no one has done this in a systematic fashion. Others
feel that the current setup is so entrenched that it would be almost impossible
to change all of the classified organisms based on genetics
It is important to define terms, especially on this issue. The belief that God
used evolution to make man is properly called "theistic evolution", not
creation. Evolution purports to explain the origin of things by natural
processes, creation by preternatural processes; and it is semantic confusion to
try to equate the two. Theistic evolution says there is a God behind the natural
processes which cause evolution; atheistic evolution says there is not. Both
forms of evolution assume the same framework of evolutionary history and the
same evolutionary mechanisms, so there is no scientific way to discriminate
between the two, as there is between creationism and evolutionism. Theistic
evolution must be judged on the basis of theological criteria, not scientific.
The creation and evolution models, on the other hand, CAN be compared and
evaluated on strictly scientific criteria. Creationists maintain that evolution
is a poor scientific model of origins, strictly on the basis of scientific
criteria.
Creation science, as it is promoted today, is based on a literal acceptance of
the book of Genesis. It specifies a young earth - an earth and universe which
were created 6 to 10 thousand years ago. In essence, the debate between
"creationists" and "evolutionists" is whether the earth is less or more than
10,000 years old. To a Christian who believes in the inerrancy (absolute freedom
of error) of the Bible, and who interprets the book of Genesis literally, there
is no debate. Creation occurred as described, in 6 days circa 4000 BCE. To
believe otherwise would mean that the Bible contains errors. (Remember that this
is based on objective truth..ie,-Science... as verses subjective truth..ie,-Metaphor)
This theory is fragile, since a single finding that proves that the earth
existed over 10,000 years ago will demolish it. The two weakest points of ICR-style
creationism are (1) its commitment to a young (i.e., less than 10,000-year-old)
earth and (2) its reliance on "flood geology," which attributes all fossils to a
single catastrophe, the Noachian deluge. These two weak points will ultimately
lead to the downfall of "scientific creationism" and its replacement in
evangelical and fundamentalist Christian circles by old-earth creationism,
progressive creationism, and, to some extent, theistic evolution.
These Biblical passages can be interpreted in many ways:
Many Evangelical and all Fundamentalist Christians believe that the Bible is
inerrant (without error) and that its writings are literally true. Most regard
the "day" in the first two chapters of Genesis as referring to a 24 hour
interval.
Many mainline Christians interpret Biblical passages as God's revelations to the
people of the day which were adequate for their understanding, but which are not
to be taken as scientific descriptions.
Many liberal Christians and others look upon these creation passages as being
beautiful myths which were attempts by a pre-scientific society to understand
their environment.
The theory of evolution describes an earth that is billions of years old; Many
creation scientists interpret the Genesis account of creation as requiring an
earth that is only about 6,000 years of age; some stretch this to 10,000 years.
It is impossible to prove that the earth was in existence billions of years ago;
no human was alive at that time to observe. All we have are indicators that the
world is of a great age.
There is one good indicator that our galaxy is very old: The sun is one of
countless numbers of stars in our galaxy. The galaxy is over 100,000 light years
across. This means that light from some stars in our galaxy has taken many tens
of thousands of years to reach earth. This would indicate that our galaxy is
much older than 10 millennia.
The Los Alamos National Laboratory has developed a method of measuring the
length of time that surface rocks have been exposed to cosmic rays. Cosmic rays
stream into the atmosphere from all directions in outer space and break neutrons
free when they collide with air molecules. When these neutrons hit rocks on the
ground, they react with a tiny number of mineral atoms which create radioactive
isotopes. At sea level, a few hundred modified atoms are created each year in a
gram of quartz which is near the surface of the ground. New measuring techniques
can detect very small numbers of these atoms and thus estimate the number of
years that the rocks have been exposed. Scientists have found ages of about
830,000 years for extinct volcanoes in Nevada.
The coral reef at Eniwetok atoll in the Pacific Ocean has been measured to have
a thickness of up to 1380 meters. Even the most optimistic coral growth rates
would require that the atoll be over 130,000 years of age.
It takes thousands of years of below freezing temperatures to build a 100 foot
layer of permafrost. But large areas in the north are permanently frozen to
depths of almost one mile! This took many tens of millennia to accomplish.
If we assumed that all of the minerals which are carried by rivers into the
oceans remains trapped in the oceans, then it would take 260 million years for
the concentration of sodium to reach its present level. If plankton, fish or
other plants adsorb sodium, then it would take much longer.
Measurements by sensors attached to satellites shows that space dust accumulates
on the moon at the rate of about 2 nanograms per square centimeter per year. (A
nanogram is one thousandth of a million of a gram.) This rate would require 4.5
million years to reach a depth of 1.5 inches, which is approximately the depth
experienced by the astronauts who walked on the moon. This agrees rather well
with radioactive dating of moon rocks.
So it seems that we must abandon the idea that an ancient
tribal history is the one true record of our objective universe.
***
The expression "conventional science" is used here as it is a neutral
expression, and many people object to misunderstandings surrounding such
expressions as "evolutionism" or "theory of evolution". The other side is
referred to as "creationist" as that appears to be the self-description of those
opposed to conventional science in the ways of interest here. It is not intended
to include all people who believe in creation.
The term evolution simply means change. Every time a baby is born it has half of
its genetic structure comes from each parent, thus the baby is a new and unique
entity – and evolution takes another small step. That is not a theory, it is a
fact, However..
The theory of evolution suffers from grave defects, which are more and more
apparent as time advances. It can no longer square with practical scientific
knowledge. Scientists have no proof that life was not the result of an act of
creation. With the failure of these many efforts, science was left in the
somewhat embarrassing position of having to postulate theories of living origins
which it could not demonstrate. After having chided the theologian for his
reliance on myth and miracle, science found itself in the unenviable position of
having to create a mythology of its own: namely, the assumption that what, after
long effort, could not be proved to take place today had, in truth, taken place
in the primeval past. The over-riding supremacy of the myth has created a
widespread illusion that the theory of evolution was all but proved one hundred
years ago and that all subsequent biological research—paleontological,
zoological, and in the newer branches of genetics and molecular biology—has
provided ever-increasing evidence for Darwinian ideas.
The evolution theory can by no means be regarded as an innocuous natural
philosophy, but that it is a serious obstruction to biological research. It
obstructs—as has been repeatedly shown—the attainment of consistent results,
even from uniform experimental material. For everything must ultimately be
forced to fit this theory. An exact biology cannot, therefore, be built up It is
therefore of immediate concern to both biologists and layman that Darwinism is
under attack. The theory of life that undermined nineteenth-century religion has
virtually become a religion itself and, in its turn, is being threatened by
fresh ideas. The attacks are certainly not limited to those of the creationists
and religious fundamentalists who deny Darwinism for political and moral reason.
The main thrust of the criticism comes from within science itself. The doubts
about Darwinism represent a political revolt from within rather than a siege
from without
A design paradigm that can nurture the sort of formal and teleological thinking
that will enable biologists to discover the laws of development has eluded them;
The reason for this elusion is the shackles of Darwinism. The long term;
gradual accumulation of information necessary in the molecule to man
theory of Darwinism is unlike any process we know of, or can observe. The story
of the fossils agrees with the account of Genesis. In the oldest rocks you will
not find a series of fossils covering the gradual changes from the most
primitive creatures to developed forms, but rather in the oldest rocks developed
species suddenly appear. Between every species there is a complete absence of
intermediate fossils.
What is it [evolution] based upon? Upon nothing whatever but faith, upon belief
in the reality of the unseen—belief in the fossils that cannot be produced,
belief in the embryological experiments that refuse to come off. It is faith
unjustified by works.
First; Natural selection is not fully sufficient to explain evolutionary change for two major reasons, many other causes are powerful, particularly at levels of biological organization both above and below the traditional Darwinian focus on organisms and their struggles for reproductive success. At the lowest level of substitution in individual base pairs of DNA, change is often effectively neutral and therefore random. At higher levels, involving entire species or faunas, punctuated equilibrium can produce evolutionary trends by selection of species based on their rates of origin and extirpation, whereas mass extinctions wipe out substantial parts of biotas for reasons unrelated to adaptive struggles of constituent species in "normal" times between such events.
Life's pathway certainly includes many features predictable from laws of nature, but these aspects are too broad and general to provide the "rightness" that we seek for validating evolution's particular results - roses, mushrooms, people and so forth. Organisms adapt to, and are constrained by, physical principles. It is, for example, scarcely surprising, given laws of gravity, that the largest vertebrates in the sea (whales) exceed the heaviest animals on land (elephants today, dinosaurs in the past), which, in turn, are far bulkier than the largest vertebrate that ever flew (extinct pterosaurs of the Mesozoic era).
At the basis of the theory of neo-Darwinian evolution lie two basic assumptions: That changes in morphologies are induced by random mutations on the genome; and, that these changes in the morphology of plant or animal make the life form either more or less successful in the competition to survive. It is by the aspect of nature's selection that evolutionists claim to remove the theory of evolution from that of a random process. The selection is in no way random. It is a function of the environment. The randomness however remains as the basic driving force that produces the varied morphologies behind the selection. Can random mutations produce the evolution of life? That is the question addressed herein. Because evolution is primarily a study of the history of life, statistical analyses of evolution are plagued by having to assume the many conditions that were extant during those long gone eras. Rates of mutations, the contents of the "original DNA, " the environmental conditions, all effect the rate and direction of the changes in morphology and are all unknowns. One must never ask what the likelihood is that a specific set of mutations will occur to produce a specific animal. This would imply a direction to evolution and basic to all Darwinian theories of evolution is the assumption that evolution has no direction. The induced changes, and hence the new morphologies, are totally random, regardless of the challenges presented by the environment. With this background, let's look at the process of evolution. Life is in essence a symbiotic combination of proteins (and other structures, but here I'll discuss only the proteins). The history of life teaches us that not all combinations of proteins are viable. At the Cambrian explosion of animal life, 530 million years ago, some 50 phyla (basic body plans) appeared suddenly in the fossil record. Only 30 to 34 survived. The rest perished. Since then no new phyla have evolved. It is no wonder that Scientific American asked whether the mechanism of evolution has changed in a way that prohibits all other body phyla. It is not that the mechanism of evolution has changed. It is our understanding of how evolution functions that must change, change to fit the data presented by the fossil record. To use the word of Harvard professor Stephen Jay Gould, it appears that the flow of life is "channeled" along these 34 basic directions. Let's look at this channeling and decide whether or not it can be the result of random processes. Humans and all mammals have some 50,000 genes. That implies we have, as an order of magnitude estimate, some 50,000 proteins. It is estimated that there are some 30 million species of animal life on Earth. If the genomes of all animals produced 50,000 proteins, and no proteins were common among any of the species (a fact we know to be false, but an assumption that makes our calculations favor the random evolutionary assumption), there would be (30 million x 50,000) 1.5 trillion (1.5 x10 to power of 12) proteins in all life. (The actual number is vastly lower). Now let's consider the likelihood of these viable combinations of proteins forming by chance, recalling that, as the events following the Cambrian explosion taught us, not all combinations of proteins are viable. Proteins are coils of several hundred amino acids. Take a typical protein to be a chain of 300 amino acids. There are 20 commonly occurring amino acids in life. This means that the number of possible combinations of the amino acids in our model protein is 20 to the power of 300 (that is 20 multiplied by itself 300 times) or in the more usual ten-based system of numbers, 10 to the power of 390 ( Ten multiplied by itself 390 times or more simply said a one with 390 zeroes after it!!!!!) . Nature has the option of choosing among the possible 10 to the power of 390 proteins, the 1.5 x (10 to power of 12) proteins of which all viable life is composed. Can this have happened by random mutations of the genome? Not if our understanding of statistics is correct. It would be as if nature reached into a grab bag containing a billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion proteins and pulled out the one that worked and then repeated this trick a million million times. But this impossibility of randomness producing order is not different from the attempt to produce Shakespeare or any meaningful string of letters more than a few words in length by a random letter generator. Gibberish is always the result. This is simply because the number of meaningless letter combinations vastly exceeds the number of meaningful combinations. With life it was and is lethal gibberish. Nature, molecular biology and the Cambrian explosion of animal life have given us the opportunity to study rigorously the potential for randomness as a source of development in evolution. If the fossil record is an accurate description of the flow of life, then the34 basic body plans that burst into being at the Cambrian, 530 million years ago, comprise all of animal life till today. The tree of life which envisioned a gradual progression of phyla from simple forms such as sponges, on to more complex life such as worms and then on to shelled creatures such as mollusks has been replaced by the bush of life in which sponges and worms and mollusks and all the other of the 34 phyla appeared simultaneously. Each of these bush lines then developed (evolved) a myriad of variations, but the variations always remained within the basic body plan. Among the structures that appeared in the Cambrian were limbs, claws, eyes with optically perfect lenses, intestines. These exploded into being with no underlying hint in the fossil record that they were coming. Below them in the rock strata (i.e., older than them) are fossils of one-celled bacteria, algae, protozoans, and clumps known as the essentially structureless Ediacaran fossils of uncertain identity. How such complexities could form suddenly by random processes is an unanswered question. It is no wonder that Darwin himself, at seven locations in The Origin of Species, urged the reader to ignore the fossil record if he or she wanted to believe his theory. Abrupt morphological changes are contrary to Darwin's oft repeated statement that nature does not make jumps. Darwin based his theory on animal husbandry rather than fossils. If in a few generations of selective breeding a farmer could produce a robust sheep from a skinny one, then, Darwin reasoned, in a few million or billion generations a sponge might evolve into an ape. The fossil record did not then nor does it now support this theory. The abrupt appearance in the fossil record of new species is so common that the journal Science, the bastion of pure scientific thinking, featured the title, "Did Darwin get it all right?" And answered the question: no. The appearance of wings is a classic example. There is no hint in the fossil record that wings are about to come into existence. And they do, fully formed. We may have to change our concept of evolution to accommodate a reality that the development of life has within it something exotic at work, some process totally unexpected that produces these sudden developments. The change in paradigm would be similar to the era in physics when classical logical Newtonian physics was modified by the totally illogical (illogical by human standards of logic) phenomena observed in quantum physics, including the quantized, stepwise changes in the emission of radiation by a body even as the temperature of the body increases smoothly.
With
the advent of molecular biology's ability to discern the structure of proteins
and genes, statistical comparison of the similarity of these structures among
animals has become possible. The gene that controls the development of the eye
is the same in all mammals. That is not surprising. The fossil record implies a
common branch for all mammals. But what is surprising, even astounding, is the
similarity of the mammal gene the gene that controls the development of eyes in
mollusks and the visual systems in worms. The same can be said for the gene that
controls the expression of limbs in insects and in humans. In fact so similar is
this gene, that pieces of the mammalian gene, when spliced into a fruit fly
cell, will cause a fruit fly eye to appear at the site of the 'splice' . This
would make sense if life's development were described as a tree. But the bush of
life means that just above the level of one-celled life, insects and mammals and
worms and mollusks separated. The eye gene has 130 sites. That means there are
20 to the power of 130 possible combinations of amino acids along those 130
sites. Somehow nature has selected the same combination of amino acids for all
visual systems in all animals. That fidelity could not have happened by chance.
It must have been pre-programmed in lower forms of life. But those lower forms
of life, one-celled, did not have eyes. These data have confounded the classic
theory of random, independent evolution producing these convergent structures.
So totally unsuspected by classical theories of evolution is this similarity
that the most prestigious peer-reviewed scientific journal in the Untied States,
Science, reported: "The hypothesis that the eye of the cephalopod [mollusk] has
evolved by convergence with vertebrate [human] eye is challenged by our recent
findings of the Pax-6 [gene] ... The concept that the eyes of invertebrates have
evolved completely independently from the vertebrate eye has to be reexamined."
The significance of this statement must not be lost. We are being asked to
reexamine the idea that evolution is a free agent. The convergence, the
similarity of these genes, is so great that it could not, it did not, happen by
chance random reactions. The British Natural History Museum in London has an
entire wing devoted to the evolution of species. And what evolution do they
demonstrate? Pink daisies evolving into blue daisies; small dogs evolving into
big dogs; a few species of cichlid fish evolving in a mere few thousand years
into a dozen species of cichlid fish. Very impressive. Until you realize that
the daisies remained daisies, the dogs remained dogs and the cichlid fish
remained cichlid. It is called micro-evolution. This magnificent museum, with
all its resources, could not produce a single example of one phylum evolving
into another. It is the mechanisms of macro-evolution, the change of one phylum
or class of animal into another that has been called into question by these
data. The reality of this explosion of life was discovered long before it was
revealed. In 1909, Charles D. Walcott, while searching for fossils in the
Canadian Rocky Mountains, came upon a strata of shale near the Burgess Pass,
rich in that for which he had been seeking., fossils from the era known as the
Cambrian. Over the following four years Walcott collected between 60,000 and
80,000 fossils from the Burgess Shale. These fossils contained representatives
from every phylum except one of the phyla that exist today. Walcott recorded his
findings meticulously in his notebooks. No new phyla ever evolved after the
Cambrian explosion. These fossils could have changed the entire concept of
evolution from a tree of life to a bush of life. And they did, but not in 1909.
Walcott knew he had discovered something very important. That is why he
collected the vast number of samples. But he could not believe that evolution
could have occurred in such a burst of life forms, "simultaneously" to use the
words of Scientific American. This was totally against the theory of Darwin in
which he and his colleagues were steeped. And so Walcott reburied the fossils,
all 60,000 of them, this time in the drawers of his laboratory. Walcott was the
director of the Smithsonian Institute in Washington D.C. It was not until 1985
that they were rediscovered (in the draws of the Smithsonian). Had Walcott
wanted, he could have hired a phalanx of graduate students to work on the
fossils. But he chose not to rock the boat of evolution. Today fossil
representatives of the Cambrian era have been found in China, Africa, the
British Isles, Sweden, Greenland. The explosion was worldwide. But before it
became proper to discuss the extraordinary nature of the explosion, the data
were simply not reported. It is a classic example of cognitive dissonance, but
an example for which we have all paid a severe price. At this point we must ask
the question, what has produced the wonders of life that surround us? The answer
may be implied by those very surroundings. In that case the medium would be the
message!

In 1999 the age of the cosmos was determined by NASA's Hubble Space Telescope
Key Project Team to be about 12 billion years old (plus or minus 10%), with a
maximum age of 18 billion years, depending on a number of variables.
The Big Bang and its associated theories try to explain or describe the moment
of change from nothingness and no time to the existence of the universe filled
with space and marked by time. Many physicists contend that, before the universe
as we now know it existed, there was no space or time. They then go on to
describe the creation as an explosion, or flash, hence the name Big Bang. The
big bang is a process of expansion in our universe that is still active today.
According to the Big Bang theory; The universe flashed into existence from a
very small agglomeration of matter of extremely high density and temperatures.
As a dense, hot globule of gas, containing nothing but hydrogen and a small
amount of helium, it began expanding rapidly outward. There were no stars or
planets. The first stars probably began to condense out of the primordial
hydrogen when the universe was about 100 million years old and continued to form
as the universe aged.
However; Clear deduction and logical thinking cannot support a simplistic theory
based on Classical/Newtonian physics, and applied to Modern/Relativity, Quantum
physics. The Red Shift and the expanding universe is proof of a dynamic
space/time, and a light horizon located 15/18 billion light years distant..
nothing more! The Big Bang theory cannot explain why the primordial globule
would be 'hot', neither can it explain the existence of the randomness now seen
in galactic spacing, nor the existence of gravity. It chooses to ignore the fact
that repeated measurements show that the cosmos is in fact balance right at
'critical density'; where it is delicately balanced between expanding forever or
collapsing.
The units of the Hubble constant are “kilometers per second, per Megaparsec.” A
Megaparsec (Mpc) is 3.26 million light-years. For each Megaparsec of distance,
the velocity of a distant object appears to increase by some value. The constant
initially calculated by Hubble was around 500 km/s/Mpc, but this figure has been
radically revised during past decades.
For the past 70 years, right up to the launch of the Hubble Telescope, the range
of measured values for the expansion of the universe was from 50 to 100 km/s/Mpc.
The Key Project team's measurement now gives the precise value of Hubble's
constant at 70 km/s/Mpc, with an uncertainty of ten percent. This means that a
given galaxy appears to be moving 160,000 mph faster for every 3.3 million
light-years away from Earth.
The team used the Hubble Telescope to observe 18 galaxies out to 65 million
light-years. They discovered almost 800 Cepheid variable stars, a special class
of pulsating stars used for accurate distant measurement. Although Cepheids are
rare, they provide a very reliable “standard candle” for estimating
intergalactic distances. The team used the stars to calibrate many different
methods for measuring distance. Combining Hubble's constant measurement with
estimates for the density of the universe, the team determined that the
universe is approximately 12 billion years old—similar to the oldest stars.
The universe's age is calculated using the expansion rate from precise distance
measurements, and the calculated age is refined based on whether the universe
appears to be accelerating or decelerating, given the amount of matter observed
in space. A rapid expansion rate indicates that the universe did not require as
much time to reach its present size, and so it is younger than if it were
expanding more slowly.
The researchers emphasize that the age estimate holds true if the universe is
below so-called “critical density,” where it is delicately balanced between
expanding forever or collapsing. Or, the universe is pervaded by a mysterious
force pushing the galaxies farther apart, in which case the Hubble measurements
point to an even older universe.
Astronomers also theorize that 99% of the matter in the universe is invisible,
or dark matter, composed of some kind of matter that they cannot yet detect.
This is another example of how 'theorized' theories are made to fit the
facts; By coming up with convenient estimates to clear up any nagging paradox;
like the fact that in previous estimates the universe appeared to be younger
than its oldest stars.
One example of information that is contrary to the "Big Bang" theory is the
nature of the cosmic background radiation, which cosmologists interpret as the
afterglow of the heat of the big bang itself. Astronomers have made high
precision measurements of this radiation, finding that it arrives at Earth with
the same intensity from all directions, to the extraordinary accuracy of about
1/1000 of a percent. Tracing the history of this radiation backwards in time,
cosmologists conclude that the temperature and the density of matter in the
universe must have been uniform to this accuracy when the cosmic background
radiation was released, about 300,000 years after the big bang. This extreme
uniformity of the early universe cannot be explained. Calculations show that
there would not have been nearly enough time for this uniformity to come about,
so one is forced to assume, without explanation, that the universe was uniform
from its very beginning.
Another example of information that is contrary to the "Big Bang" theory is
that the universe appears very nearly flat, existing right on the knife edge
between being open and closed. In the standard big-bang model, the only way to
explain these observations is to have the universe start out with a uniform
temperature and at the critical density.
Further, among all the possible universes that could possibly exist, only a
special few have the right conditions that could give rise to life. The cosmic
coincidences are not some fundamental aspect of the way the laws of physics
operate, but rather a prerequisite for the development of life.
Space is host to the most inhospitable environments imaginable. Nonetheless,
there are subtle properties of the universe that allow the delicate process of
life to exist. Indeed, it appears as if the cosmos has been “fine tuned” to
permit life.

According to growing numbers of scientists, the laws and constants of nature are
so "finely-tuned," and so many "coincidences" have occurred to allow for the
possibility of life, the universe must have come into existence through
intentional planning and intelligence. In fact, this "fine-tuning" is so
pronounced, and the "coincidences" are so numerous, many scientists have come to
espouse The Anthropic Principle, which contends that the universe was brought
into existence intentionally for the sake of producing mankind. Even those who
do not accept The Anthropic Principle admit to the "fine-tuning" and conclude
that the universe is "too contrived" to be a chance event. In a BBC science
documentary, "The Anthropic Principle," some of the greatest scientific minds of
our day describe the recent findings which compel this conclusion. Dr. Dennis
Scania, the distinguished head of Cambridge University Observatories: If you
change a little bit the laws of nature, or you change a little bit the constants
of nature -- like the charge on the electron -- then the way the universe
develops is so changed, it is very likely that intelligent life would not have
been able to develop. Dr. David D. Deutsch, Institute of Mathematics, Oxford
University: If we nudge one of these constants just a few percent in one
direction, stars burn out within a million years of their formation, and there
is no time for evolution. If we nudge it a few percent in the other direction,
then no elements heavier than helium form. No carbon, no life. Not even any
chemistry. No complexity at all. Dr. Paul Davies, noted author and professor of
theoretical physics at Adelaide University: "The really amazing thing is not
that life on Earth is balanced on a knife-edge, but that the entire universe is
balanced on a knife-edge, and would be total chaos if any of the natural
'constants' were off even slightly. You see," Davies adds, "even if you dismiss
man as a chance happening, the fact remains that the universe seems unreasonably
suited to the existence of life -- almost contrived -- you might say a 'put-up
job'." According to the latest scientific thinking, the matter of the universe
originated in a huge explosion of energy called "The Big Bang." At first, the
universe was only hydrogen and helium, which congealed into stars. Subsequently,
all the other elements were manufactured inside the stars. The four most
abundant elements in the universe are: hydrogen, helium, oxygen and carbon. When
Sir Fred Hoyle was researching how carbon came to be, in the "blast-furnaces" of
the stars, his calculations indicated that it is very difficult to explain how
the stars generated the necessary quantity of carbon upon which life on earth
depends. Hoyle found that there were numerous "fortunate" one-time occurrences
which seemed to indicate that purposeful "adjustments" had been made in the laws
of physics and chemistry in order to produce the necessary carbon. Hoyle sums up
his findings as follows: A common sense interpretation of the facts suggests
that a superintendent has monkeyed with the physics, as well as chemistry and
biology, and that there are no blind forces worth speaking about in nature. I do
not believe that any physicist who examined the evidence could fail to draw the
inference that the laws of nuclear physics have been deliberately designed with
regard to the consequences they produce within stars. Adds Dr. David D. Deutch:
If anyone claims not to be surprised by the special features that the universe
has, he is hiding his head in the sand. These special features ARE surprising
and unlikely. Universal Acceptance Of Fine Tuning Besides the BBC video, the
scientific establishment's most prestigious journals, and its most famous
physicists and cosmologists, have all gone on record as recognizing the
objective truth of the fine-tuning. The August '97 issue of "Science" (the most
prestigious peer-reviewed scientific journal in the United States) featured an
article entitled "Science and God: A Warming Trend?" Here is an excerpt: The
fact that the universe exhibits many features that foster organic life -- such
as precisely those physical constants that result in planets and long-lived
stars -- also has led some scientists to speculate that some divine influence
may be present. In his best-selling book, "A Brief History of Time", Stephen
Hawking (perhaps the world's most famous cosmologist) refers to the phenomenon
as "remarkable." "The remarkable fact is that the values of these numbers (i.e.
the constants of physics) seem to have been very finely adjusted to make
possible the development of life". "For example," Hawking writes, "if the
electric charge of the electron had been only slightly different, stars would
have been unable to burn hydrogen and helium, or else they would not have
exploded. It seems clear that there are relatively few ranges of values for the
numbers (for the constants) that would allow for development of any form of
intelligent life. Most sets of values would give rise to universes that,
although they might be very beautiful, would contain no one able to wonder at
that beauty." Hawking then goes on to say that he can appreciate taking this as
possible evidence of "a divine purpose in Creation and the choice of the laws of
science (by God)" (ibid. p. 125). Dr. Gerald Schroeder, author of "Genesis and
the Big Bang" and "The Science of Life" was formerly with the M.I.T. physics
department. He adds the following examples: 1) Professor Steven Weinberg, a
Nobel laureate in high energy physics (a field of science that deals with the
very early universe), writing in the journal "Scientific American", reflects on
how surprising it is that the laws of nature and the initial conditions of the
universe should allow for the existence of beings who could observe it. Life as
we know it would be impossible if any one of several physical quantities had
slightly different values. Although Weinberg is a self-described agnostic, he
cannot but be astounded by the extent of the fine-tuning. He goes on to describe
how a beryllium isotope having the minuscule half life of 0.0000000000000001
seconds must find and absorb a helium nucleus in that split of time before
decaying. This occurs only because of a totally unexpected, exquisitely precise,
energy match between the two nuclei. If this did not occur there would be none
of the heavier elements. No carbon, no nitrogen, no life. Our universe would be
composed of hydrogen and helium. But this is not the end of Professor Weinberg's
wonder at our well-tuned universe. He continues: One constant does seem to
require an incredible fine-tuning -- The existence of life of any kind seems to
require a cancellation between different contributions to the vacuum energy,
accurate to about 120 decima]l places. This means that if the energies of the
Big Bang were, in arbitrary units, not:
100000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000 000000000000000000, but
instead: 100000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000 000000000000000001, there
would be no life of any sort in the entire universe because as Weinberg states:
the universe either would go through a complete cycle of expansion and
contraction before life could arise, or would expand so rapidly that no galaxies
or stars could form. 2) Michael Turner, the widely quoted astrophysicist at the
University of Chicago and Fermilab, describes the fine-tuning of the universe
with a simile: The precision is as if one could throw a dart across the entire
universe and hit a bulls eye one millimeter in diameter on the other side. 3)
Roger Penrose, the Rouse Ball Professor of Mathematics at the University of
Oxford, discovers that the likelihood of the universe having usable energy (low
entropy) at the creation is even more astounding, namely, an accuracy of one
part out of ten to the power of ten to the power of 123. This is an
extraordinary figure. One could not possibly even write the number down in full,
in our ordinary denary (power of ten) notation: it would be one followed by ten
to the power of 123 successive zeros! (That is a million billion billion billion
billion billion billion billion billion billion billion billion billion billion
zeros.) Penrose continues, Even if we were to write a zero on each separate
proton and on each separate neutron in the entire universe -- and we could throw
in all the other particles as well for good measure -- we should fall far short
of writing down the figure needed. The precision needed to set the universe on
its course is to be in no way inferior to all that extraordinary precision that
we have already become accustomed to in the superb dynamical equations
(Newton's, Maxwell's, Einstein's) which govern the behavior of things from
moment to moment. Cosmologists debate whether the space-time continuum is finite
or infinite, bounded or unbounded. In all scenarios, the fine-tuning remains the
same. It is appropriate to complete this section on "fine tuning" with the
eloquent words of Professor John Wheeler: To my mind, there must be at the
bottom of it all, not an utterly simple equation, but an utterly simple IDEA.
And to me that idea, when we finally discover it, will be so compelling, and so
inevitable, so beautiful, we will all say to each other, "How could it have ever
been otherwise?"
the many variables which had to be exactly balanced in order for the universe to unfold into living order, rather than random chaos.
The mass of the proton, the strength of gravity, the range of the weak nuclear force, and dozens of other variables determine how a universe will unfold after a Big Bang. If any of these values had been just slightly different, the universe would have become a disorganized pool of hot plasma where galaxies and solar systems were unable to form.
In order to make a universe that supports life, the numbers have to be exactly right.
What are the mathematical chances of an accidental Big Bang producing a universe that produces life as we know it?
Life as we know it
One chance in 10229
That’s one chance in 10 to the power 229.
To spell it out, that’s exactly one chance in…
10,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000
So obviously there is a problem with the current dogma of reductionism science
and the observed phenomena ..
Today’s Western Christian is taught a world-view of matter and spirit based on
an antiquated perception of natural philosophy. In this view, Space, Time, and
Motion, are seen as being distinct phenomena. These classifications are useful
for purposes of reasoning, however, these things are in reality not separate,
rather, a trinity. This union of Space, Time, and Motion, is verified
conclusively by Einstein’s Relativity. Relativity has also shown through the
famous E=mc2 theorem that matter and energy are not distinct realities, rather
two aspects of one. Also, Quantum physics has revealed that at the subatomic
level, matter / energy have both particle and wave characteristics. This
phenomena is described as ‘complementary’ because two distinct physical
characteristic coexist. Further, through what is known as the 'uncertainty
principle' it has been discovered that reality itself behaves in a ghostlike
fashion and allows for the possibility of dynamic sudden change; allowing for
the possibility of miracles!
We live in a world that prides itself on its ability to describe and understand
the unknown and plan for the future through the use of reason. We readily accept
explanations that seem reasonable and discard reports of events that don't
appear reasonable.
This unwillingness to accept the "unreasonable" is based, in part, on a
description of reality that started to emerge in the sixteenth and seventeenth
century with the works of Newton, Kepler, Liebnitz and others. The experimental
methodology and mathematics employed to more precisely describe events radically
changed humanity's perception from the Ptolemaic model of the universe and our
place in it that had come to dominate Western thought. These developments were
reinforced by the success such a paradigm had in describing easily perceived
events. Even today, it's a common conception that the "real world" operates on a
Newtonian paradigm... a world of near-clockwork regularity and predictability
when all of the variables affecting it have been uncovered.
Much has been uncovered about the nature of physical reality using modern
scientific methods, a methodology that has been developed during the last three
hundred years to order and explain the physical world in which we find
ourselves. In addition, mathematics - the language that researchers use to
describe and theorize about their findings - has also made significant advances
during this time period.
In the 1930's, in one of the seminal intellectual events of this century, a
brilliant Austrian mathematician, Kurt Godel, unequivocally demonstrated that
mathematics cannot discern the truth, it can only deal with the underlying
nature of proof. Put briefly, Godel found that for every consistent
formalization of arithmetic, there exist arithmetic truths that are not provable
within that formal system. Any system of mathematical reasoning must be based
upon assumptions which are ultimately unprovable. Thus, the leap from proof to
truth needs to be based ultimately on belief, it can never be satisfactorily
demonstrated.
While Godel was publishing his findings on the nature of proof, another
mathematician, John von Neumann, was putting the finishing touches on a concise
mathematical formulation of the physicists description of physical reality which
had been developed earlier in the century. This theory, called quantum
mechanics, held that events at the atomic level can best be described as a
complementary state of waves and matter. Depending on which phenomena the
observer of an event wished to measure, the event under examination could be
described either as a wave (such as a radio wave) or as a sub-atomic particle
(such as an electron). It only depended on an independent observer to collapse
all the possible outcomes (described mathematically as the wave function) to
create the measurement of the event that was finally observed.
After formalizing this physical theory, von Neumann took the theory one step
further and demonstrated that, since the universe itself consists of an enormous
number of collapsed wave functions, it must itself be a quantum mechanical
system requiring an independent observer to collapse its wave function.
Despite its strange and "unreasonable" characteristics, quantum mechanics has
been successfully tested in a variety of ways during the last sixty years.
Moreover, in experiments completed in the late '70's and '80's, researchers
determined that the act of observing one element of a quantum system
instantaneously determines the outcome of other elements of the system
regardless of how far apart the other element of the system is located. Thus,
aside from the complementarity inherent in the atomic nature of reality, another
of the fundamental attributes of physical reality confirmed by these experiments
appears to be its non-local nature. While there are several possible
descriptions of the universe that attempt to capture all the implications of
these experimental outcomes, only two of them seem to stand up to rigorous
evaluation and therefore warrant acceptance or "belief"; Either their actually
exists a conscious, independent outside observer separate from the universe
itself or there must be an infinite number of universes, created by the
consciousness of each observer. Put another way, it is that the one undivided
indivisible consciousness is able to be all the separate consciousnesses
by being each one of them, one at a time. A metaphor to help the reader
visualize this concept is if we imagine every life form that has existed and
will ever exist in the physical Universe, as a pearl. This will of course add up
to a lot of separate pearls. If we then imagine that this multitude of pearls as
being strung out on a single continuous cosmic thread then we get a variety of
the 'Great chain of being'. So along this thread will be expressed all the life
forms in the Universe. This thread then demonstrates the relationship between
all the seemingly separate consciousnesses. That is, they are all different
points along the conscious stream of the one consciousness.
It is the notion of separate categories at the casual level of reality that also
lends itself to the separation of ‘mind and matter’ within classical philosophy.
However, the separation of mind and matter are only a model of reality and not
reality in truth. In a similar fashion the ground of reality is not made from
billiard balls or bricks. The source of this confusion in our model making is
even older than Newton's or even Galileo's day; for this confusion springs from
the duality of our own language and historical roots of philosophy and theology.
It is the construction of an epistemology that combines Mesopotamian theological
symbols with Greek philosophical models, that creates dualism within Western
Christian thought.
Now faith is the substance of
things hoped for, the evidence of things not seen. For by it the elders obtained
a good report. Through faith we understand that the worlds were framed by the
word of God, so that things which are seen were not made by things which do
appear. Hebrews 11:1-3
Newton looked upon space and time as two independent entities. Modern theory recognizes that they are not independent, and regards them as components of a four-dimensional structure in which there are three dimensions of space and one dimension of time. But if we examine the bases of these two hypotheses it is apparent that they are both purely arbitrary assumptions, and in view of the points brought out in the preceding paragraphs neither of them should ever have been given any consideration until after the consequences of extrapolating the relation applicable in the known region had been thoroughly explored. In this known region the relation between space and time is recognized as motion. Motion is measured as velocity, and in velocity time and space have a reciprocal relationship; that is, more space is the equivalent of less time and vice versa. The most conservative assumption that we can possibly make concerning the general relation of space and time, the hypothesis that is by far the most probable representation of the underlying truth, is that this relationship which holds good in the known phenomenon also holds good in general.
In Feynman graphs photons and electrons are pictorially given as lines in a space-time diagram. Interactions with exchange of energy-momentum and other properties occur in such space-time points, where lines meet. Feynman graphs are nowadays the standard method used to calculate theoretical predictions.
Relativistic quantum field theories always have both advanced and retarded solutions, one with positive and the other with negative energy, because of the two square roots of special relativity. The weak and strong nuclear forces can be explained by similar field theories related to electromagnetism. They are often described by Feynman space-time diagrams.
Feynman graphs reveal that the universe in
which we live is not a universe of matter, but a universe of motion, one
in which the basic reality is motion, and all physical entities and phenomena,
including matter, are merely manifestations of motion. The atom, on this basis,
is simply a combination of motions. Radiation is motion, gravitation is motion,
an electric charge is motion, and so on. The mathematical quantities which are
used to describe the motion of objects can be divided into two categories. The
quantity is either a vector or a scalar.
Obviously, the equation of motion, which defines motion in terms of space and time, likewise defines space and time in terms of motion. It tells us that in motion space and time are the two reciprocal aspects of that motion, and nothing else.
In a universe of matter, the fact that space and time have this significance in motion would not preclude them from having some other significance in a different connection, but when it is specified that motion is the sole constituent of the physical universe, space and time cannot have any significance anywhere in that universe other than that which they have as aspects of motion. Under these circumstances, the equation of motion is a complete definition of the role of space and time in the physical universe.
This means a unit of energy directly corresponds to a unit of space/time; ~ energy then is a first cause, & space/time a prime mover. The relation of matter to energy is defined by the space/time axis, being the square of the speed of light..
We thus arrive at the conclusion that space and time are simply the two reciprocal aspects of motion and have no other significance apart from motion, or any given volume of space has an inherent quantity of motion or "force". that defines it in relation to time. Since mass is usually associated in thought with spatial measurements and likewise energy is usually associated with time measurements we can see the space/time relationship in energy mass equivalence defined by the famous equation (e=mc2). Space/time is dynamic, not static, - Space, Time, Motion, are an inseparable trinity. further, the limiting spacetime ratio is 10 to 40 magnitudes @ E (2 π 2),, which is the light speed equivalent and defines Planck's constant and the Compton wavelength of the proton. The Compton Wavelength is the wavelength associated with the mass of any particle, given by λ = h / mc, where h is Plancks constant, m is the mass of the particle and c is the speed of light. The Planck constant is expressed in joule seconds (J·s). However, the dimensions may also be written as momentum times distance ... The entire universe can be seen to be encompassed in these 40 order-of-magnitude changes.
On this basis, space is not the Euclidean container for physical phenomena that is most commonly visualized by the layman; neither is it the modified version of this concept which makes it subject to distortion by various forces and highly dependent on the location and movement of the observer, as seen by the modern physicist. In fact, it is not even a physical entity in its own right at all; it is simply and solely an aspect of motion. Time is not an order of succession, or a dimension of quasi-space, neither is it a physical entity in its own right. It, too, is simply and solely an aspect of motion, similar in all respects to space, except that it is the reciprocal aspect.
The simplest way of defining the status of space and time in a universe of motion is to say that space is the numerator in the expression s/t, which is the speed or velocity, the measure of motion, and time is the denominator. If there is no fraction, there is no numerator or denominator; if there is no motion, there is no space or time. Space does not exist alone, nor does time exist alone; neither exists at all except in association with the other as motion. We can, of course, focus our attention on the space aspect and deal with it as if the time aspect, the denominator of the fraction, remains constant (or we can deal with time as if space remains constant). This is the familiar process known as abstraction, one of the useful tools of scientific inquiry. But any results obtained in this manner are valid only where the time (or space) aspect does, in fact, remain constant, or where the proper adjustment is made for whatever changes in this factor do take place.

The existence of motion in time is one of the most significant consequences of the status of the physical universe as a universe of motion. Conventional physical science, which recognizes only motion in space, has been able to deal reasonably well with those phenomena that involve spatial motion only. But it has not been able to clarify the physical fundamentals, a task for which an understanding of the role of time is essential, and it is encountering a growing number of problems as observation and experiment are extended into the areas where motion in time is an important factor.
The controlling factor in this situation is the three-dimensional nature of time. In the particular example under consideration each photon moves one unit of space in one unit of time (the normal unit velocity of the space-time progression). Both Newton and Einstein accepted the unit of time applicable to photon B as the same unit of time which is applicable to photon A. But the Postulates of this work specify that each unit of space is equivalent to a unit of time and since the motion involves two different units of space the equivalent units of time are also two separate and distinct units. Therefore when the photons increase their separation by two units of space they also increase their separation by two units of time; that is it takes two units of time to move the photons apart two units in space. The relative velocity is then 2/2 = 1, which is completely in agreement with the observed facts.
This unit velocity relative to a photon moving in the opposite direction is identical with the velocity relative to a stationary object, and the same result is obtained for any intermediate velocity of the reference system. We therefore arrive at the general principle that the velocity of radiation in free space is independent of the reference system. Basically this is a necessary consequence of the status of unity
This introduces a new concept, that of mass, and in order to fit the force system into its proper position in the theoretical universe which we are developing from Fundamental Postulates we must identify mass with the corresponding quantity in the velocity system; that is, we must reduce it to space-time terms. For this purpose we identify mass as the reciprocal of three-dimensional velocity. The correlation in this case is not as obvious as it has been in most of the identifications previously made, but this relation is inherent in the concept of force as it has been derived in the preceding paragraph and its validity will be demonstrated in the course of the subsequent discussion. In terms of space and time, mass may now be expressed as t³/s³. Force, which was defined as the product of mass and acceleration, becomes t³/s³ * s/t² = t/s². Acceleration and force are therefore analogous quantities, their space-time expressions having the same form with the space and time terms interchanged.
Acceleration decreases rapidly at very high velocities and approaches a limit of zero as the velocity of the mass approaches unity. Relativity theory explains the experimental results by the assumption that mass increases with velocity and becomes infinite at unit velocity (the velocity of light), but the same results are produced by the fact that force is a function of the difference in velocities and drops to zero when the velocity of the mass reaches unity. In mathematical terms, the limiting zero value of a in the expression a = F/m (which is the fact determined by experiment) is not due to an infinite value of m but to a zero value of F.
It makes no difference mathematically whether the mass is increased by a given amount, or the effective force is decreased by the same amount. The effect on the observed quantity, the acceleration, is identical
The units of space, time, and motion (speed) that form the background for physical activity are simply scalar magnitudes. As matters now stand, we have no geometric means of representation that will express all three magnitudes coincidentally. But if we assume that the time progression continues at a uniform rate, and we measure this progression by some independent device (a clock), then we can represent the corresponding spatial magnitude by a one-dimensional geometric figure: a line. The length of this line represents the amount of space corresponding to a given time magnitude. Where this time magnitude is unity, the length of the line also represents the speed, the space per unit time.

Motion is measured as speed (or velocity). Inasmuch as the quantity of space involved in one unit of motion is the minimum quantity that takes part in any physical activity, because less than one unit of motion does not exist, this is the unit of space. Similarly, the quantity of time involved in the one unit of motion is the unit of time. Each unit of motion, then, consists of one unit of space in association with one unit of time; that is, the basic motion of the universe is motion at unit speed. The true speeds that are effective in the basic physical interactions can be correctly measured only in terms of deviation upward or downward from unity. From the natural standpoint a motion at unit speed is no effective motion at all and is relative.


And since time is measured in cycles and circles and space is
measured in lines and angles their difference is the 'Transcendental Curves'
geometry of motion that describes the 'forces and fields" the mean of which is sometimes known as the
golden spiral. when seen in unity. The Golden Section or Golden Mean is
derived with simple geometric constructions, its ratio expressed in numbers is,
however, irrational The thing that sets the Golden Spiral apart from other
spirals is the fact that its curve is exactly the same, no matter how smaller or
how large a section we choose to view. In other words, if we were to zoom in to
the infinitely small center of the Spiral, we would find an exact duplicate of
what we would see if we were to zoom out to view an infinitely large Spiral. No
other spiral can be mathematically produced (or produced any other way, for that
matter) that adhears so closely to this similarity within similarity. The
Golden Ratio, or phi is the only number that if squared, is equal to itself plus
one. In other words, Phi^2 = Phi+1. And if you took it's reciprical, it's equal
to Phi-1.Phi^-1 = Phi-1.

Those who are familiar with the comparably recent mathematical constructions
known as "fractals" may be noticing a congruence between them and the discussion
of Phi up until this point. The connection is not to be missed, because it
speaks to one of the very fundamental ideas within the number Phi. That idea has
been known in some circles as "microcosm / macrocosm theory," or the basic idea
that we find exact replicas of the processes which affect the most minute of all
things affecting the largest of all things in an exactly similar proportionate
manner - from the atom, and smaller, to the universe, and larger. Phi is simply
the mathematical term that most directly expresses the possibility of a single
unifying principle that ties together a continually unfolding and expanding
reality, ranging from the infinitely minute to the incomprehensably vast. There
is no other number that can claim to express this idea with such concise
directness. To bring us back to the various topics discussed in the introduction
to this frankly astounding proportion, let us not forget that the number not
only connects the tiny to the vast, but does so in such a manner that expresses
nothing short of transcendence. If we were to multiply the value of 1 over Phi
to the second power (0.3819659…) times the total number of degrees in a circle
(360), we obtain for a product nothing other than 137.50… degrees. As an
alternate way to look at the same idea, if we were to take the value of 1 over
Phi (0.6180339) and multiply it by 360, we obtain approximately 222.5 degrees.
If we then subtract 222.5 from 360 we again find 137.5 degrees - in other words,
the complimentary angle to 1 over Phi is 137.5 degrees, which also happens to be
the value of 1 over Phi to the second power times 360. In the simplest case of a
hydrogen
atom
with a single electron
spinning around a single proton, the electron moves at about 1/137 of the
speed of light and the
speed of light is always relative to the electron cycle .

A golden spiral is a logarithmic spiral whose growth factor b is related to φ, the golden ratio. Specifically, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes. Logarithmic spirals, for instance, are the same when rotated a quarter turn and scaled down by a factor of phi.
The Cycloid is the same class of curve only within different reference coordinates in spacetime. A cycloid is the curve defined by the path of a point on the edge of circular wheel as the wheel rolls along a straight line. The mechanical properties of the cycloid were investigated by Christian Huygens, who proved the curve to be tautochronous. A tautochrone or isochrone curve is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point. The curve is a cycloid, and the time is equal to π times the square root of the radius over the acceleration of gravity.
Christian Huygens enquiries into evolutes enabled him to prove that the evolute of a cycloid was an equal cycloid, and by utilizing this property he constructed the isochronal pendulum generally known as the cycloidal pendulum.
Again the curve c is logarithmic and, its involutec and its evolutec are homothetic. The distance of c from the
center is c=k exp(ω σ), for some constant k.
Due log(ω2) = π ω the involute and evolute of c belong to the same spiral (shift
of the parameter only by π): evolutec(σ) = involutec(σ+π)
This 'Sacred Geometry' is the blueprint of Creation and the genesis of all form. All forces have a form and at the most fundamental level form and motion are relational and relative properties . What determines the motions form and reference is its differing areas of 'energy density'

The cosmological gravitational motions associated with so called.. 'dark matter'.. are actually the angular component of the ..so called.. 'big bang'.. it is a spiral not a radial motion..
Radial-axial movement by the above can be expressed as a movement in the inverse direction along a similar trajectory as axial-radial. Matter on a perpendicular plane to a cycloid spiral axis begins upon an inward condensing path that continually focuses and concentrates upon its centre forming a centripetal rotational form of movement. This form of movement is in reference to radial-axial movement. As we have seen, the direction of the space-time progression with reference to a fixed system of coordinates is indeterminate. Each time the atom enters a new unit of space-time its direction of motion with reference to a stationary coordinate system alters to oppose the direction of the space-time progression applicable to this particular unit. The probability principles require this motion to be distributed equally in all directions in the long run; hence the acceleration toward any specific area at a distance s from the rotating atom depends on the relationship of that area to the total area of the spherical surface of radius s. Since we have found that unit mass exerts unit force at unit distance, the force at distance s is inversely proportional to the ratio of areas; that is, inversely proportional to s². Again we must take note of the fact that we are dealing with a pure ratio, s² units of area divided by 12 units of area, and the introduction of this distance factor does not alter the dimensions of the original force equation F = ma.
Force is merely a concept by which we
visualize the resultant of oppositely directed motions as a conflict of
tendencies to cause motion rather than as a conflict of the motions themselves.
This method of approach facilitates mathematical treatment of the subject, and
is unquestionably a convenience, but whenever a physical situation is
represented by some derived concept of this kind there is always a hazard that
the correspondence may not be complete, and that the conclusions reached through
the medium of the derived concept may therefore be in error. This is what has
happened in the case we are now considering.
Since all of the distant galaxies are moving outward away from us, it follows that, unless our galaxy is the only stationary object in the universe, a hypothesis that no scientist accepts today, we must be moving outward away from all other galaxies. Consequently, we are moving outward in all directions. This means that our motion has no specific direction in one dimension.
We are so accustomed to referring motion to a stationary reference system that it seems almost self-evident that an object that has no independent motion, and is not subject to any external force, must remain stationary with respect to some spatial coordinate system. Of course, it is recognized that what seems to be motionless in the context of our ordinary experience is actually moving in terms of the solar system as a reference; what seems to be stationary in the solar system is moving if we use the Galaxy as a reference datum, and so on. Current scientific theory also contends that motion cannot be specified in any absolute manner, and can only be stated in relative terms. However, all previous thought on the subject, irrespective of how it views the details, has made the assumption that the initial point of a motion is some fixed spatial location that can be identified as the spatial zero.
But nature is not required to conform to human opinions and beliefs, and in this case does not do so. As indicated in the preceding paragraphs, the natural system of reference in a universe of motion is not a stationary system but a moving system. Inasmuch as each unit of the basic motion involves one unit of space and one unit of time, it follows that continuation of the motion through an interval during which time is progressing involves a continued increase, or progression, of both space and time. If an absolute spatial location X is in coincidence with spatial location x at time t, then at time t + n this absolute location X will be found at spatial location x + n. As seen in the context of a stationary spatial system of reference, each absolute location is moving outward from its point of reference at a constant unit speed.
The existence of scalar motion is not recognized by conventional science. In fact, motion is customarily defined in vectorial terms. But the motions of the galaxies, as we observe them, are definitely scalar, and the information now available regarding the motions of the photons and massless particles indicates that these are motions of the same kind. For present purposes it is important to recognize that scalar motions cannot be represented in their true character in the conventional reference system. This limitation of the capability of the reference system is new to science, and some may find it hard to accept, but its existence can easily be verified by a further examination of the galactic situation.
Inasmuch as there is no reason to believe that our galaxy is unique in this respect, we can conclude that this is a general property of the galaxies, and that all galaxies (except those that are quite close, and are therefore subject to relatively strong gravitational forces) are moving outward without any specific direction. Such motion, which has magnitude only, and no inherent direction, is scalar motion.
We can represent the motions of the distant galaxies in the usual manner, as radially outward from our location, only if we assume (1) that our galaxy is motionless, and (2) that each of the other galaxies has a specific direction of movement. But we know that both of these assumptions are false. Aside from the exception stated, all galaxies, including ours, are moving outward in all directions. It follows that the representation of the motion of any galaxy in the conventional reference system can only show the change of position relative to some one location in that system of reference. We take our galaxy as the reference location, and we see galaxy X as moving in the direction AX, where A represents our location. But observers in galaxy B see galaxy X as moving in a totally different direction BX, those in galaxy C see it moving in the direction CX, and so on. We may generalize the relation between scalar motion and the conventional reference system by saying that scalar motion can be represented in this reference system only by the use of a reference point, a point in the moving system that is coupled to the stationary reference system by arbitrarily assuming that it is motionless (from the scalar standpoint) in that system of reference. As has been indicated, the usual reference point for the motion of the galaxies is the position of our own Milky Way galaxy. For the photons and the massless particles, the reference point is the point of origin, and the direction taken by each individual particle is determined by chance.
All of the objects that we have identified as motionless in the natural reference system are observed in the conventional system of reference as moving outward from their respective reference points in the same manner and at the same speed, the speed of light. It follows that this is the relative motion of the two systems; that is, the natural system of reference is moving outward at the speed of light relative to the conventional system.
This outward movement of the natural reference system carries all physical entities with it, the consequence being that objects which are motionless in the conventional reference system are, in fact, moving inward at the speed of light. This finding revolutionizes the problem of identifying the motion mechanisms. Instead of having to look for one mechanism whereby electromagnetic radiation is propagated, another to account for the motion of massless particles, and still another to explain the recession of the most distant galaxies, all that we need to do is to identify a mechanism whereby the atoms and particles of matter are able to move inward toward each other. This is easily done. It is true that the nature of this mechanism whereby matter is capable of self-generated motion has never been identified by previous investigators, but the existence of such a mechanism is incontestable. This mechanism is gravitation, a known property of matter that accomplishes exactly what is required in order to counterbalance all or part of the effect of the outward progression of the natural reference system. It moves each gravitating object toward all others.
From the fact that the gravitational motion is the inverse of the outward motion, or progression, of the natural reference system, it can be recognized as an inward scalar motion. It is generally regarded as a force, but there is no conflict here, as force is defined in such a way (by Newton’s Second Law of Motion) that it is a property of a motion. Einstein’s ”principle of equivalence,” the key feature of his General Theory of Relativity, asserts that gravitation is equivalent to a motion. On the basis of the findings that have been described herein, we can go a step farther and say that it is not only equivalent to a motion; it is a motion. But it is not vectorial motion,
Because it is generated by a fixed relation between the two reference systems, the outward movement of physical objects due to the progression of the natural system always has the same magnitude: the speed of light. But the gravitational effect varies with the distance between the objects, the interaction of these two opposing scalar motions under different conditions is therefore capable of explaining a wide variety of results within the conventional reference system, all the way from net speeds that approach the speed of light in the outward direction to net speeds that approach the speed of light in the inward direction. In particular, the range of speeds involved in the galactic recession, the specific subject of the present inquiry, is fully explained by the combination of the two oppositely directed scalar motions. At great distances, the gravitational attraction is weak, and the outward motion, observable as the galactic recession, predominates. As the distance decreases, the gravitational force becomes stronger, and the net outward motion decreases, until at a certain point, the gravitational limit, we may call it, the inward and outward motions are equal, and the net motion is zero. Inside this limit there is a net gravitational (inward) motion.
Part of Einstein's
genius was his ability to look at ordinary things from a whole new perspective
and logically follow through on the consequence of the insights he gained from
his new perspective. He proposed an experiment involving two elevators: one at
rest on the ground on the Earth and another, far out in space away from any
planet, moon, or star, accelerating upward with an acceleration equal to that of
one Earth gravity (9.8 meters/second2). (Modern readers can substitute ``rocket
ship'' for Einstein's elevator.) If a ball is dropped in the elevator at rest on
the Earth, it will accelerate toward the floor with an acceleration of 9.8
meters/second2. A ball released in the upward accelerating elevator far out in
space will also accelerate toward the floor at 9.8 meters/second2. The two
elevator experiments get the same result!
Einstein used this to formulate the equivalence principle that would be the
foundation of General Relativity. It states that ``there is no experiment a
person could conduct in a small volume of space that would distinguish between a
gravitational field and an equivalent uniform acceleration''. A consequence of
this is that if an elevator is falling freely toward the ground because of
gravity, an occupant inside will feel weightless just as if the elevator was far
away from any planet, moon, or star. No experiment would help you distinguish
between being weightless far out in space and being in free-fall in a
gravitational field.
But what about a large volume of space? Suppose there were now two very small observers in the elevator, in a gravitational field they would notice that they move together perpendicular to the line of free fall, in free space away from the sphere of gravity they would not. If our observers could look out the top of the elevator they would notice orbiting objects now moving away from the line of fall in a curve linier path and be seen as an expansion or force opposite to their fall..
This form is seen to be gravitationally repulsive because it possesses a negative significance that is equal and opposite in magnitude to its energy density along a (Phi path). In other words, the ratio of the pressure to the energy density — called the "equation of state" parameter, w — has a value of –1.
Here, then, we have arrived at an explanation of what is currently regarded as the primary cosmological problem, the apparent expansion of the universe, and we have reached it purely on the basis of existing knowledge, without introducing anything new or making any special assumptions. The Doppler shift of light is seen to be a direct consequence of the laws of motion and relativity. There is no idea of an explosion or big bag and there is no need to invent one.
Now that the existence of scalar motion has been demonstrated, it will be appropriate to examine the consequences of this existence. Some of the most significant consequences are related to the dimensions of this hitherto unrecognized type of motion. The word “dimension” is used in several different senses, but in the sense in which it is applied to space it signifies the number of independent magnitudes that are required for a complete definition of a spatial quantity. It is generally conceded that space is three-dimensional. Thus three independent magnitudes are required for a complete definition of a quantity of space. Throughout the early years of science this was taken as an indication that the universe is three-dimensional. Currently, the favored hypothesis is that of a four-dimensional universe, in which the three dimensions of space are joined to one dimension of time.
Strangely enough, there does not appear to have been any critical examination of the question as to the number of dimensions of motion that are possible. The scientific community has simply taken it for granted that the limits applicable to motion coincide with those of the spatial reference system. On reviewing this situation it can be seen that this assumption is incorrect. The relation of any one of the three space magnitudes to a quantity of time constitutes a scalar motion. Thus three dimensions of scalar motion are possible. But only one dimension of motion can be accommodated within the conventional spatial reference system. The result of any motion within this reference system can be represented by a vector (a one-dimensional expression), and the resultant of any number of such motions can be represented by the vector sum (likewise one-dimensional). Any motions that exist in the other two dimensions cannot be represented.
Here again we encounter a shortcoming of the reference system. In our examination of the nature of scalar motion we saw that this type of motion cannot be represented in the reference system in its true character. The magnitude and direction attributed to such a motion in the context of the reference system are not specifically defined, but are wholly dependent on the size and position of the object whose location constitutes the reference point. Now we find that there are motions which cannot be represented in the reference system in any direct manner. It is therefore evident that the system of spatial coordinates that we use in conjunction with a clock as a system of reference for physical activity gives us a severely limited, and in some respects inaccurate, view of physical reality. In order to get the true picture we need to examine the whole range of physical activity, not merely that portion of the whole that the reference system is capable of representing. So how can we picture the two unseen dimensions of time? This is resolved by the statistical methods of thermodynamics and quantum mechanics, this indirect view of the extra time dimensions can be viewed as entropy and time dilation as being flows of energy or as a dynamic economy of information in flux and magnitude; Because all objects exist in three dimensional time, the universe does a vast number of things which we cannot directly observe, and it runs on indeterminacy and probability as well as causality and certainty. Phi has been found to be involved in non-linear growth process. These are definitions of scalar motions.
Gravitation has been identified as a scalar motion, and there is no evidence that it is subject to any kind of a dimensional limitation other than that applying to scalar motion in general. We must therefore conclude that gravitation can act three-dimensionally. Furthermore, it can be seen that gravitation must act in all of the dimensions in which it can act. This is a necessary consequence of the relation between gravitation and mass. The magnitude of the gravitational force exerted by a material particle or aggregate (a measure of its gravitational motion) is determined by its mass. Thus mass is a measure of the inherent negative scalar motion content of the matter. It follows that motion of any mass m is a motion of a negative scalar motion. To produce such a compound motion, a positive scalar motion v (measured as speed or velocity) must be applied to the mass. The resultant is mv, now called momentum, but known earlier as “quantity of motion,” a term that more clearly expresses the nature of the quantity. In the context of a spatial reference system, the applied motion v has a direction, and is thus a vector quantity, but the direction is imparted by the coupling to the reference system and is not an inherent property of the motion itself. This motion therefore retains its positive scalar status irrespective of the vectorial direction.
In the compound motion mv the negative gravitational motion acts as a resistance to the positive motion v. The gravitational motion must therefore take place in all three of the available dimensions, as any one of the three may be parallel to the dimension of the reference system, and there would be no effective resistance in any vacant dimension. We may therefore identify the gravitational motion as three-dimensional speed, which we can express as s³/t³, where s and t are space and time respectively. The mass (the resistance that this negative gravitational motion offers to the applied positive motion) is then the inverse of this quantity, or t³/s³. Since only one dimension of motion can be represented in a three-dimensional spatial coordinate system, the gravitational motion in the other two dimensions has no directional effect, but its magnitude applies as a modifier of the magnitude of the motion in the dimension of the reference system. These include motion in time, rotationally distributed scalar motion, the three dimensions of time corresponding to the three dimensions of space and the reciprocal relation between space and time which is motion itself.
In 6D matter cannot become confined in black holes larger
than Planck sized ones, or smaller than the universe itself. The dense
objects in the middle of many galaxies consist of huge neutron stars rather than
black holes. A sufficiently massive neutron star, which could convert infalling
mass into radiation, would behave in exactly the same way that a black hole
would. If the radiation blasted back into space by annihilated neutrons creates
new matter at the rate of only one proton per cubic meter per billion years,
then a balance will exist between collapsed and dispersed matter, and the
universe will not exhibit signs of decay into one mode or the other. The concept
of a 'Black Hole' is a contradiction, because it would also have an increasing
spin value and an electromagnetic value of spin charge which also becomes
infinite as the gravitational collapse does; meaning it would spin apart. Quite
simply 'spacetime' monsters do not exist where there is no logical motion
component.
Increasing observational evidence keeps coming in for the existence of so called
‘dark galaxies’. These consist of vast clouds of hydrogen sufficient to form
many millions of stars, but they have not yet done so. As they emit little
light, such galaxies remain difficult to locate, but some cosmologists suspect
that they may well outnumber galaxies where stars have formed and ignited. To
accommodate all these independent constraints, one needs to go be-yond the
over-simplistic assumption of spherical symmetry. The higher mass and
concentration inferred from lensing suggests that the dark matter halo is
elongated along the line of sight. The misalignment be-tween the projected dark
matter and stellar components also supports this scenario. Neglecting projection
effects leads to systematic discrepancies between mass estimates. thus a fully
triaxial modelling is a major concern for precision mass estimates.
In the 6D one would expect an unlimited number of generations of galaxies, as
the cosmic material continually recycles itself, rather than the single
generation of galaxies that the big bang hypothesis implies. In the 6D universe
one would expect exactly what the observations seem to show now, galaxies of all
ages all over the place.
The various experiments and solid theories that arise from
quantum mechanics involving superluminal phenomena give a high-level indication
of a Hyper dimensional universe. Further, the discover of Parity violation and Symmetry
breaking imply a 6D universe to restore their conservation. The guiding wave, in
the general case, propagates not in ordinary three-space but in a
multi-dimensional configuration space is the origin of the notorious
"non-locality" of quantum mechanics. In short, time reversibility is not
forbidden and indeed is suggested by the basic principles of physics.
Furthermore, time reversibility can help to explain the so-called paradoxes of
quantum mechanics, what Einstein called "spooky action at a distance," without
involving superluminal motion. and with no need to introduce antiparticles.
It may be somewhat disconcerting to many readers to be told that we are dealing with a universe that transcends the stationary three-dimensional spatial reference system in which popular opinion places it: a universe that involves three-dimensional time, scalar motion, a moving reference system, and so on. But it should be realized that this complexity is not peculiar. No physical theory that enjoys any substantial degree of acceptance today portrays the universe as capable of being accurately represented in its entirety within any kind of a spatial reference system.

Why Phi?
In physics, the principle of least action or more accurately principle of stationary action is a variational principle which, when applied to the action of a mechanical system, can be used to obtain the equations of motion for that system. This Principle is indeed one of the greatest generalizations in all physical science, although not fully appreciated until the advent of quantum mechanics in the present century. Maupertuis arrived at this principle from a feeling that the very perfection of the universe demands a certain economy in nature and is opposed to any needless expenditure of energy. Natural motions must be such as to make some quantity a minimum. It was only necessary to find that quantity, and this he proceeded to do. It was the product of the duration (time) of movement within a system by the "vis viva" or twice what we now call the kinetic energy of the system. Having found the quantity that tends to a minimum, Maupertuis regarded the principle as all-inclusive: "The laws of movement and of rest deduced from this principle being precisely the same as those observed in nature, we can admire the application of it to all phenomena. The movement of animals, the vegetative growth of plants ... are only its consequences; and the spectacle of the universe becomes so much the grander, so much more beautiful, the worthier of its Author, when one knows that a small number of laws, most wisely established, suffice for all movements." Geodesy, as the term is used in physics, is the tendency of physical changes and processes to take the easiest or minimum path. Almost the whole of physics can be represented in geodetic form. Water running downhill seeks the steepest descent, the quickest way down, and water running into a basin, even one with irregular shape and bottom, distributes itself so that its surface is as low as possible, the water then has the minimum potential energy in the earth's gravitational field. Light finds the quickest trajectory through an optical system (Fermat's principle of Least Time). The path of a body in a graviational field (i.e. free fall in space time) is a geodesic. Feynman's formulation of quantum mechanics is based on a least-action principle, using path integrals. Maxwell's equations can be derived as conditions of least action. Newton's mechanics is contained in Hamilton's principle of least action, and also Gauss's principle of least constraint. Thomson's theorem states that electrically charged particles arrange themselves so as to have the least energy. The Second Law of Thermodynamics requires that thermal systems change along a sequence of configurations, each having a higher probability of occurrence than the preceding configuation
We know the Golden Mean acts as a super-attractive orbit between two
repelling fixed points, so if we again run iterations of the equation for the
circle, with c = -1 (-1 being i, the imaginary number, squared), we produce a
Julia Set, a fractal in the complex plane, (named after its originator), for the
Golden Mean.
The Mandelbrot Set is the encyclopaedia of all Julia Sets; it has been called
the most complex geometric entity ever seen, is paradoxical in that it is a
finite entity with an infinite boundary, and it too explicitly confirms Phi as
of critical significance in its morphology.
Again, with c = -1 we see Phi as the super-attractive origin of the Period Two
Disk of the Mandelbrot Set.
the least action principle because of its elegance and beauty, and express both
matter particles (fermions) and energy/force particles (bosons) in higher
dimensions (and at cosmological initial-condition energies - reproduced at their
10 to the minus 33 cm Planck scale/energy size, because of Heisenberg
uncertainty at this smallest possible scale), as rotations, resonances and
harmonics of vibrating entities that are both energy/matter and space/time. The
quantum and the relativistic are therefore united by these entities; whose
harmonics are now seen to be directly analogous to solitons (persistant
travelling waves), which at classical scales are only found on the edge of
Chaos.
The implication here, is that scaling up from Planck scales, the quantum
collapse of the wave function is analogous, by scaling, to classical
irreversible non-linearities, as both require the disruption of a system from a
dynamical equilibrium, thereby increasing their entropies. Wavefunction collapse
therefore may in a certain sense, be a quantum precursor of the classical-scale
bifurcation, leading eventually to the edge of Chaos. This may be why trying to
find full Chaos at the quantum scale is proving fruitless, the causal direction
of non-linearity probably needs to be reversed: String/Membrane soliton
harmonics leads, to quantum uncertainty/complementarity, which in turn, leads to
classical instabilities and Chaos, (and therefore the creation of emergent,
self-organising information structures of mass/energy on its edge), not the
other way round.
Each increase in scale sees emergent patterns of mass/energy, that although
outwardly unrelated, display the same underlying metapattern - which is because
an increase of scale is also evidently, an energy minimising, symmetry-breaking,
dimension-compactifying process.
If we look closely at the Phi Julia Set, we can measure 1:1/Ø**2 in its
proportions; exactly Phi's reciprocal, quadratic action. The Complex plane
itself can be mapped by a system analogous to electromagnetic/gravitational
force equipotentials and field lines. When we describe the Phi Julia Set fixed
point behaviour, we see two field lines landing on the pinch-point (as with the
cones/spindle example) for 1/Ø, representing an angle doubling from 1/3 to 2/3
of 2pi. Now, angle doubling in the Complex plane is equivalent to squaring in
the Euclidean plane, and to an oscillation of the binary shift operator. This
action should therefore confirm Phi's behaviour, as an operator, to be
applicable to the quantum and relativistic (linear and non-linear) domains as
well as within dynamical systems, at the so-called classical scale. (Note that
space-time itself is fractal: curved and non-linear. For example, the
inverse-square law of gravitational force versus distance is a simple fractal,
and therefore self-similar, power law. Gravity is space-time curvature - caused
by mass/energy - its manifolds are always traversed in minimum-entropy
geodesics, lines of least distance; again, just as water flows through the
lowest points in a valley, thereby minimising its gravitational potential
energy.).
Returning to the Mandelbrot Phi Julia Set itself, we see that the fixed points
are on the boundary between the finite prisoner and infinite escape sets, on the
edge of Chaos, in fact. The Golden Mean is therefore intrinsically dynamic, its
action is one of perpetual reciprocal oscillation, exactly and uniquely
replicating the dynamics of the unit circle. The Phi Julia Set, centred at the
origin of Period Two dynamics, is the only set that acts so.
This again, means Phi behaviour seems to operate at all scales and in any
dimension, and confirms it as when infinitely iterated, the mathematically most
stable attractive orbit for achieving a mathematical singularity. The fixed
points themselves confirm the orbit between the finite (0) and infinite (-1)
attractors. The finite attractor here is the period two orbit, analogous to a
graph of: y = sin x. The infinite attractor is that same orbit as the graph of
the reciprocal: y=sin(1/x). Remarkably, these graphs of simple harmonic motion
can be used to describe the curvature of space-time in approaching the speed of
light (relative to an outside observer, i.e.: the rest of the Universe, time
stops, you compress to finite size, as one dimension compactifies, and gain
infinite mass - unless you are initially massless, like a photon),
The squaring of the circle therefore, has an expression in the Complex plane,
which confirms the Golden Mean's profound dynamical and symmetric action, and
potential mathematical application to quantum (linear) and relativistic
(non-linear) physics, the two limits below and above, the classical (which
combines both behaviours).
Phi is simultaneously both an arithmetic and geometric expansion of itself and
One of the simplest possible kind. This immediately places it in both the linear
(arithmetic progression) and non-linear (geometric progression) realms, and as
an effective bridge, operating between the two.
Virtually every aspect of fractal geometry and type of dynamical system can be
expressed by variations upon the simple quadratic iterator:
X = X**2 + c
which expresses the particular type of feedback being examined, Phi can be
expressed by a related but more archetypal variation to derive the Fibonacci
series:
X[n+1] = X[n] + X[n-1]
which incrementally gravitates towards a particular ratio which possesses unique
qualities. Numerically, it can be derived from the relation:
(1 + sqrt(5))/2.
For example, if one diminishes Phi by Unity you derive its reciprocal.
Additionally, Phi is the unique ratio that fulfils:
1/Ø + 1/Ø**2 = 1
in other words, Phi is also the only possible geometric and arithmetic,
expansion and partitioning of One.
The Golden Mean then, is an archetypal fractal in that it preserves its
relationship with itself (its inherent similarities under scaling are conformal
symmetries - with topological consequences, that are invariant about
themselves), in the most mathematically robust, economical but also elegant,
way. It is analogia exemplified.
As we shall see, this reciprocal, squaring behaviour about One, or Unity, as it
is more properly termed, is far from being mathematically trivial.
All feedback loops deterministically involve the passage of time. The quadratic
iterator is derived from Newton's differential calculus, and from a period when
nature was seen as a mechanistic and time-reversible automaton. Recent science
demonstrates that in fact it consists of both the above and irreversible
processes, known as the entropy barrier, or the arrow of time. The Golden Mean
can also be seen as mathematically (because of the above) the simplest and most
stable way of communing or mediating between the two, as we shall see.
As mentioned, iterated recursive loops (feedback), must occur over a certain
time interval and have a beginning and an end. To give a crude example, this is
analogous(derived from the Greek for "proportional action", better known to us
as self-similarity) to the initiation of a system at the apex of a space-time
light cone, and a progressive winding around its extruding surface (with cone
length being the age of the system). The resulting two-dimensional spiral
inscribed on the cone surface represents an extruded origin, being One,
constantly growing over time but never changing its shape, an example of its
optimum stability (for a logarithmic spiral, rotation and scaling are
identical). The world line of this space-time system heads from the apex to the
origin of the disk-base and is irreversible. However, there is mathematically,
the reciprocal case: another world line heading in the opposite direction, at
all times, producing together, a spindle form, with an infinitely thin
pinch-point joining them and jointly, corresponding to a time-reversible
scenario. This can be seen explicitly in the complex plane, as we shall see.
This is how Phi mediates between the finite and infinite attractors, and allows
for infinite co-dimensionality (scale and dimensional variations) and
reversible/irreversible processes in its action, (all mathematical tools for
probing natural behaviours, best thought of as self-consistent logical
structures expressed in algebraic symbolic or geometric forms - in this case
renormalisation operators, hamiltonian systems and eigen functions), as we shall
develop upon.
The feedback loop which describes Phi is an arithmetic linear operator, (like a
binary switch: 0 or 1, off or on) representing the winding or rotation number of
the inscribed spiral, which is conventionally represented as a multiple of 2pi;.
This is superposed with its expansion ratio; 1 : 1.618 ... which is geometric
(logarithmic) and therefore non-linear. This can be represented using the
polygonal spiral that preserves the circle in half-radians (pi/2) in a manner
reminiscent of the action of i = sqrt(-1), the imaginary number. (See below, re:
the complex plane) Note that the natural logarithm e, i and pi are in the
following relationship: e **(i pi) = -1. The linear is reversible (and finite)
while the non-linear is not (and infinite --- being numerically irrational). Phi
is in fact the most difficult irrational to approximate with rational numbers,
making it the last KAM torus to collapse before the onset, or edge of Chaos.
This quasi-periodic Phi toroid geometry is therefore paradoxically, the most
stable (under perturbation), despite also being on the edge of Chaos. This is
reminiscent of non-linearities damping dissipation in soliton behaviour.
Solitons are persistent travelling waves which trade dissipative (resonant)
effects off against inherent non-linearities, in a way that cancels each other
out, (a flame being a simple example,).
This binary switching process, unique to Phi, which as noted, is reminiscent of
the action of an eigen, rescaling or renormalisation operator, is analogous to
the tossing of a coin, a chance or stochastic process, that allows a
dynamical/probabilistic interpretation. This mathematics and resultant
geometries, is also the paradigm for quantum mechanics, dynamical systems, and
the relativistic (but with appropriate super-positions) or in other words, the
maths of chance, for the linear Schrödinger probability equations of the
quantum, or causality for the arbitrarily large velocities and mass/energies
expressed by the non-linearLorentz transformations of the relativistic worlds.
These Phi-type stochastic operators have been shown by physicists to be
super-stable mechanisms (ones most resistant to perturbation) by which simulated
systems can evolve increasing complexity of information structure over time.
This stability seems to be due to their optimising geometric scaling of
themselves and begins to confirm Phi-related equations as imbedded within the
study of classical dynamical systems - and quite possibly within the larger body
of quantum and relativistic physics as well. This imbedding appears in a way
that best transcends dissipation, and minimises energy: hence emergent phenomena
such as solitons, wavefunctions and spacetime curvatures - and all that evolve
from them.
Fibonacci's sequence come up a lot is in chaos theory, that is, the study of chaotic dynamical systems. One tool in chaos theory is the "cat map," in which an algorithm is used to transform a matrix in seemingly chaotic ways. (One early matrix was a graphic of a cat, hence the name.) The "cat map" is transformed by starting with two numbers x and y between 0 and 1, sending the pair (x, y) to (2x+y, x+y), and throwing away the integer parts of the resulting numbers to get another pair between 0 and 1. Lather, rinse, repeat, and you'll find that the coefficients always come from the Fibonacci sequence:
(x, y) -> (2x+y, x+y) -> (5x+3y, 3x+2y) -> (13x+8y, 8x+5y) -> . . .
One of the hallmarks of chaos theory is that many systems look very similar, so many dynamical systems have structures similar to that of the cat map. Whether the exact Fibonacci sequence is part of that structure of just a consequence of the simplicity
So Phi-dynamics is a paragon of telos, it is an image of reflexiveness, of its
own self-generative process translated in scale, over time. It is a conformally
symmetrical recursive/invariant feedback loop acting as a rudimentary
self-replicating memory machine (it reiterates its uniquely optimal relationship
to, and between, Unity and itself - archetypal renormalisation), that therefore
allows a manifestation in the linear and non-linear, at all scales, and in any
higher dimensions. It therefore should also epitomise the principle of least
action as its imperative, because this optimal stability should inevitably
become the attractor for minimising entropy production/energy corruption:
consequently, with Phi dynamical behaviour, information degradation is minimised,
while system complexity is maximised.
We can confirm these axioms by first noting that we can use the quadratic
iterator to demonstrate not only the pervasive nature of Phi operation, but also
its intrinsic relationship with dynamical systems. We already see that it is an
archetypal feedback system that in turn generates a protofractal spiral that is
literally linear (one dimensional), in form. This is seemingly paradoxical
because to be fractal a form must be of non-integral dimension (between
dimensions), in fact. However, the non-linearity is found in the
scaling/rotation of the spiral, which is a logarithmic power-law (self-similar
under transformation) behaviour. All fractals have this power-law invariance.
Its dual linear and non-linear expansion of Unity is also paradoxical, but the
iterator:
X = X**2 + c
(the equation for a circle --- a section of the Phi temporal evolution cone)
with c = -1, produces what is known as the super-attractive case. Here two fixed
values rather than the normal one are produced, being: 0 and -1.
Remarkably, even if we alter values for X[0] we still derive the same results.
This makes the cycle as resistant to perturbation as is possible; 0 and -1
represent the repelling fixed points for the equation which in turn, generate a
super-attractive orbit, between them. The orbit itself is strictly periodic but
of the lowest dynamic period possible (being two) and therefore crucially,
consumes the least energy to maintain. (Oscillation is also cheaper than
rotation, and higher periods consume more energy.)
This is whyPhi's deterministic switching action under infinite iteration, must
also have, following Boltzmann, a thermodynamic interpretation; (after Roger
Penrose) where:
entropy = k log V
(with Boltzmann's constant (k) as Unity and the volume of the phase space (V) as
increasing, arithmetically and geometrically).
So the constant c = -1 represents an island of perfect stability surrounded by a
seething maelstrom of Chaos. Solving the paired equations for the system (known
as a two-step loop) produced:
Ø = (1 + sqrt(5))/2,
the Golden Mean.
This therefore confirms Phi as the mathematical entity on the very cusp of
Chaos. This is, considering its super-stability and attractive nature, a
seemingly remarkable result --- which has been confirmed by several
mathematicians and physicists in numerous and diverse fields of inquiry. (See
bibliography).
This point is of the highest mathematical significance for renovating our
understanding of Phi in terms of dynamical systems and the immanent
symmetry-breaking action of thermodynamics, from which they are derived.
It seems clear now that the Golden Mean can certainly be reconciled with the new
science, which reveals a profound dynamical aspect to its action. The Mean can
be found to mathematically describe the behaviour of nature
Suffice to say, maximum Complexity is found via self-organised criticality,
which is epitomised by the Golden Mean, as the emergent geometric manifestation
of the principle of least action: therefore its full temporal/ spatial action is
analogous to creation itself.
ScienceDaily (Jan. 7, 2010) — Researchers from the Helmholtz-Zentrum Berlin für Materialien und Energie (HZB), in cooperation with colleagues from Oxford and Bristol Universities, as well as the Rutherford Appleton Laboratory, UK, have for the first time observed a nanoscale symmetry hidden in solid state matter. They have measured the signatures of a symmetry showing the same attributes as the golden ratio famous from art and architecture.
The research team is publishing these findings in the Jan. 8, 2010 issue of the journal Science.
On the atomic scale particles do not behave as we know it in the macro-atomic world. New properties emerge which are the result of an effect known as the Heisenberg's Uncertainty Principle. In order to study these nanoscale quantum effects the researchers have focused on the magnetic material cobalt niobate. It consists of linked magnetic atoms, which form chains just like a very thin bar magnet, but only one atom wide and are a useful model for describing ferromagnetism on the nanoscale in solid state matter.
When applying a magnetic field at right angles to an aligned spin the magnetic chain will transform into a new state called quantum critical, which can be thought of as a quantum version of a fractal pattern. Prof. Alan Tennant, the leader of the Berlin group, explains "The system reaches a quantum uncertain -- or a Schrödinger cat state. This is what we did in our experiments with cobalt niobate. We have tuned the system exactly in order to turn it quantum critical."
By tuning the system and artificially introducing more quantum uncertainty the researchers observed that the chain of atoms acts like a nanoscale guitar string. Dr. Radu Coldea from Oxford University, who is the principal author of the paper and drove the international project from its inception a decade ago until the present, explains: "Here the tension comes from the interaction between spins causing them to magnetically resonate. For these interactions we found a series (scale) of resonant notes: The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618…, which is the golden ratio famous from art and architecture." Radu Coldea is convinced that this is no coincidence. "It reflects a beautiful property of the quantum system -- a hidden symmetry. Actually quite a special one called E8 by mathematicians,
The Universe is Vibration, and the principles of Sacred Geometry are directly correspondent to ALL wave form phenomena . ,
Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples include a swinging pendulum and a synchronous circuit. The term vibration is sometimes used to be synonymous with "oscillation." Oscillations occur not only in physical systems but also in biological systems
the Universe Is Vibration, and
geometry IS vibration manifest on the visual, time/space planes.
Everything that exists in this Universe occurs in the form of a wave and
vibration at the quantum level. When a vibration occurs simultaneously with
another Vibration we view the composite together and define it in terms of it’s
Harmony. Harmony is therefore the relationship of one vibration with another ,or
the relationship of one Symbol with another. Harmony exists among people...
planets... and galaxies... and among trees... flowers... and stones...
As you enter the world of Sacred Geometry you begin to see as never before the wonderfully patterned beauty of Creation. The molecules of our DNA, the cornea of our eye, snow flakes, pine cones, flower petals, diamond crystals, the branching of trees, a nautilus shell, the star we spin around, the galaxy we spiral within, the air we breathe, and all life forms as we know them emerge out of timeless geometric codes. Geometric shapes actually represent the manifest stages of 'becoming'.
Sacred geometry represents a certain vibration or flow of life in the
existence of all matter. Matter's latticed waves are spaced at intervals
corresponding to the frets on a harp
or guitar with analogous sequences of overtones arising from each fundamental.
The science of musical harmony is in these terms practically identical with
the science of symmetry in crystals

The straight lines and boxes of current science models are inadequate for
representing Nature’s spherical and cyclical patterns of growth.

The study of wave phenomena, is a science pioneered by Swiss medical doctor
and natural scientist, Hans Jenny (1904-1972). For 14 years he conducted
experiments animating inert powders, pastes, and liquids into life-like, flowing
forms, which mirrored patterns found throughout nature, art and architecture.
What's more, all of these patterns were created using simple sine wave
vibrations (pure tones) within the audible range. So what you see is a physical
representation of vibration, or how sound manifests into form through the medium
of various materials.
Dr. Jenny's methodology was meticulous, well doumented, and totally repeatable.
His fascinating body of work offers profound insights into both the physical
sciences and esoteric philosophies. It illustrates the very principles which
inspired the ancient Greek philosophers Heraclitus, Pythagoras and Plato, on
down to Giordano Bruno and Johannes Kepler, the fathers of modern astronomy. "In
the beginning was the word..." takes on a whole new meaning while looking at
these experiments!
If you were to take a guitar string and stretch it to a given length and a given tightness and have a friend pluck it, you would hear a noise; but the noise would not even be close in comparison to the loudness produced by an acoustic guitar. On the other hand, if the string is attached to the sound box of the guitar, the vibrating string is capable of forcing the sound box into vibrating at that same natural frequency. The sound box in turn forces air particles inside the box into vibrational motion at the same natural frequency as the string. The entire system (string, guitar, and enclosed air) begins vibrating and forces surrounding air particles into vibrational motion.
When an object vibrates at one of its natural frequencies (a rate of vibration at which it naturally tends to move), standing wave patterns are formed within the object. These patterns are the result of wave interference, which occurs at the meeting of two waves traveling within the same medium in different directions. The resulting disturbance within the material at the point where the waves meet is the net effect of the two waves. At certain points in the material, the waves cancel each other out through destructive interference and there is no net disturbance. These points are called nodes, or nodal points. Around the nodes, the waves constructively interfere; the points with the greatest disturbance are called antinodes, or anti-nodal points.
Standing wave patterns can be seen in the figures formed on Chladni plates, named after Ernst Chladni, a German physicist who studied sound. He observed that sand sprinkled on a plate that is forced to vibrate at its harmonic frequencies displays clear patterns.
Buckminster Fuller (1895 - 1983) was the first to demonstrate that a relation between musical frequencies (The Diatonic scale) and geometrical forms exists. He used a balloon submerged in blue dye and vibrated it with frequencies from the musical scale (the 7 white keys from the piano): as a result of wave interference, marvellous two dimensional arrangements appeared on its surface.
Dr. Hans Jenny carried on the work of Buckminster Fuller and tested these standing wave vibrations in spherical volumes of fluid. Much to his surprise all of the Platonic solids, showed up as geometrical patterns.
The nesting of the Platonic solids is not restricted to the cube and
octahedron. All Platonic solids can be nested into each other. Each Phi spiral
is actually a series of pure sine waves. It is a well-known principle in physics
that any complex wave shape can be created from the sum of simpler pure sine
waves with different frequencies and amplitudes. This principle is called the
Fourier principle. The Phi spiral is constructed from a series of harmonics with
wavelengths that comply with the Golden Mean.

Dr. Hans Jenny conducted a similar experiment, wherein a droplet of water contained a very fine suspension of light-colored particles, known as a colloidal suspension. When this spherical droplet of particle-filled water was vibrated at various diatonic musical frequencies, the Platonic Solids would appear inside, surrounded by elliptical curving lines that would connect their nodes together.

Sound structures in the water drop as a function of the wavelength The discoveries of Japanese researcher Dr. Masaru Emoto have shown the glorious snowflake-like mandalas that form in water when a beautiful piece of music is played,
Greeks used the Golden Section to achieve the wonderful sound and "ideal acoustics" that Golden Proportion rooms have. Many cathedrals also use the Golden Section, in part, for the same reason. The Golden Section not only minimizes acoustic resonance, it also imparts a very musical quality to the remaining sound.
The Fibonacci series appears in the foundation of aspects of art, beauty and
life. Even music has a foundation in the series, as:
There are 13 notes in the span of any note through its octave.
A scale is comprised of 8 notes, of which the
5th and 3rd notes create the basic foundation of all chords, and are based on
whole tone which is
2 steps from the root tone, that is the
1st note of the scale.
Note too how the piano keyboard scale of C to C above of 13 keys has 8 white
keys and 5 black keys, split into groups of 3 and 2.
While some might "note" that there are only 12 "notes" in the scale, if you
don't have a root and octave, a start and an end, you have no means of
calculating the gradations in between, so this 13th note as the octave is
essential to computing the frequencies of the other notes. The word "octave"
comes from the Latin word for 8, referring to the eight whole tones of the
complete musical scale, which in the key of C are C-D-E-F-G-A-B-C.
In a scale, the dominant note is the 5th note of the major scale, which is also
the 8th note of all 13 notes that comprise the octave. This provides an added
instance of Fibonacci numbers in key musical relationships. Interestingly, 8/13
is .61538, which approximates phi. What's more, the typical three chord song in
the key of A is made up of A, its Fibonacci & phi partner E, and D, to which A
bears the same relationship as E does to A. This is analogous to the "A is to B
as B is to C" basis for the golden section, or in this case "D is to A as A is
to E."
Fibonacci and phi relationships are often found in the timing of musical
compositions. As an example, the climax of songs is often found at roughly the
phi point (61.8%) of the song, as opposed to the middle or end of the song. In
a 32 bar song, this would occur in the 20th bar.
All objects have a frequency or set of frequencies with which they naturally
resonate when struck, plucked, strummed or somehow disturbed. Each of the
natural frequencies at which an object vibrates is associated with a standing
wave pattern. When an object is forced into resonance vibrations at one of its
natural frequencies, it vibrates in a manner such that a standing wave is formed
within the object. So the natural frequencies of an object are merely the
harmonic frequencies at which standing wave patterns are established within the
object.

These standing wave patterns represent the lowest energy vibrational modes of
the object or complex system. While there are countless way by which an object
can vibrate (each associated with a specific frequency), objects favor only a
few specific modes or patterns of vibrating.
The favored modes (patterns) of vibration are those which result in the highest
amplitude vibrations with the least input of energy. This is a reciprocal
relationship between space and time..
In quantum mechanics, as a particle is localized to a smaller region in space, the associated compressed wave packet requires a larger and larger range of momenta, and thus larger kinetic energy. Thus, the binding energy to contain or trap a particle in a smaller region of space, increases without bound, as the region of space grows smaller. Particles cannot be restricted to a geometric point in space, since this would require an infinite particle momentum. At rest the wave packet width or variance is oscillating in a simple harmonic oscillator potential well. This is a characteristic of waves. The spin of an electron may be viewed as the product of two distinct rotating motions. Moreover, one spin has twice the speed and is perpendicular to the other. In the same way, the orbit of an electron is in reality two orbital motions. One orbit has twice the rate as the other, and is perpendicular.
An atomic orbital is a mathematical function that describes the wave-like behavior of an electron in an atom. The region in which an electron may be found around a single atom in a particular energy state can be calculated from this function. The term "orbital" has become known as either the "mathematical function" or the "region" generated with the function. Specifically, atomic orbitals are the possible quantum states of an individual electron in the electron cloud around a single atom, as described by the function. It is found that the dynamics depends sensitively upon the relative magnitudes of the charge and spin currents; i.e., it shows steady state, periodic motion,
The quantum harmonic oscillator is the quantum mechanical analogue of the
classical harmonic oscillator. It is one of the most important model systems in
quantum mechanics because, as in classical mechanics, a wide variety of physical
situations can be reduced to it either exactly or approximately. In particular,
a system near an equilibrium configuration can often be described in terms of
one or more harmonic oscillators. Furthermore, it is one of the few quantum
mechanical systems for which a simple exact solution is known.
We find that an electron, like the guitar string, has a discrete set of possible states. One of the discrete variables used to represent the state of a subatomic particle is that known as 'spin,' a peculiar quality which is quantised into one of only two values, 'up' and 'down.'; ''spin is conserved,'' meaning that the total sum of all spins in the system remains constant. Their very architecture gives rise to space and matter. In this picture, there are no things, only geometric relationships of motion. Space ceases to be a place where objects such as particles bump and jitter and instead becomes a kaleidoscope of ever changing patterns and processes.
In this situation molecular dynamics can be described with quantum mechanical wave packets, which are superpositions of molecular vibrational states, in the same way as pulses of light are superpositions of plane waves in classical optics. Wave packet dynamics forms a complementary description to the traditional spectroscopic description of molecular vibrations, In many cases the motion of wave packets can be thought of in terms of classical Newtonian dynamics, which is often helpful both computationally and conceptually. They are, nevertheless, quantum objects and thus show interesting matter wave characteristics such as decoherence and interference.
In mathematics and physics, in particular in the theory of the orthogonal
groups, spinors are elements of a complex vector space introduced to expand the
notion of spatial vector. They are needed because the full structure of the
group of rotations in a given number of dimensions requires some extra number of
dimensions to exhibit it. Isotropic vectors could be said to be orthogonal to
themselves.
Each spin network resembles a snapshot, a frozen moment in the universe. At this
level everything is spin. The universe is made of a matrix of spin which define
ultrasmall Planck volumes, or pixels of reality. First envisioned by English
mathematician Roger Penrose in the 1960s as abstract graphs. Smolin and Rovelli
used standard techniques to quantize the equations of general relativity and in
doing so discovered Penrose's networks buried in the math. The nodes and edges
of these graphs carry discrete units of area and volume, giving rise to
three-dimensional quantum space.
A hydrogen atom is only about a ten millionth of a millimeter in diameter, but
the proton in the middle is a hundred thousand times smaller, The nucleus of an
atom is the very dense region, consisting of nucleons (protons and neutrons), at
the center of an atom. The size (diameter) of the nucleus is in the range of 1.6
fm (10-15 m) (for a proton in light hydrogen) to about 15 fm (for the heaviest
atoms, such as uranium). These dimensions are much smaller than the size of the
atom itself by a factor of about 23,000 (uranium) to about 145,000 (hydrogen).
All the matter you see around you is made up of only three particles: protons,
electrons, and neutrons. The simplest atom consists of one proton (positively
charged) with one electron (negatively charged) The motion of the electrons in
this region determines the size of the atom.
Seen as a simple quantum mechanical equation for $n$ particles in two
dimensions, each particle carrying electric charge and magnetic flux. Such
particles appear in (2+1)-dimensional field theories as charged vortex soliton
solutions,
There are five perfect 3-dimensional forms -The tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Collectively these are known as The Platonic Solids. Their form is composed of standing wave patterns which are the foundation of everything in the physical world. Modern scholars ridiculed this idea until the 1980's, when Professor Robert Moon at the University of Chicago demonstrated that the entire Periodic Table of Elements -- literally everything in the physical world -- is based on these same five forms! They represent the 'periodic' in the Periodic Table!
These shapes can all mathematically turn into one another, and that this transformation takes place with ratios linked to the golden ratio.
Mainstream physics has never been able to explain why the atom has these ‘random’ numbers of 2, 6, 10 and 14 electrons in its electron clouds, the orbital shells around the nucleus. A standing wave model of the atom explains exactly why these number show up in the period table of the elements! These numbers are related to the geometrical properties of the Platonic Solids! Also we have an explanation as to why the electron’s radiated energy is replenished. Electrons are not particles that encircle the nucleus instead they are standing wave patterns at discrete distances.
If we organize' Phi' spin fields of energy in the organization patterns of the Platonic solids we call atomic structure, we may now understand that:
When the topologies of the atom are arranged according to the Platonic
solids symmetries, waves become standing and harmonic within the atom due to
symmetry and close packing, creating repetitive, recursive or "fractal" type patterns.
These 'fractals' of motion interconnect everything with everything within the universe
and are the basic building blocks of a holographic universe. One of the most
important discoveries of the new quantum physics is the holographic nature of
the universe. The ratio between
the minimum and maximum magnitudes of force is also 10 to 40.. (E
(2 π 2) )
The time-dependent variational principle is applied to the manifold of
wave packets. The translational commutativity and spreading degrees of freedom
are scalar and treated equally. Since the universe is in essence a hologram we
find these structures in all parts of the universe and that (e=mc2). The
models predict 'mass' for the fundamental oscillations. All other theories
assume fundamental particle masses as given constants. So, again, the standing
wave theory is fully compatible with the oscillation mass predictions, because
it defines the mass property as a property of space structure (hence motion) and
not as a built in constant of particles. Matter is the energy density of a standing
wave the result of two interfering waves. One is an inward wave moving towards
the center and the other is an outward-bound wave moving away from the center.
The waves are "spherical" waves. The center of
the two spherical waves is the ‘point particle’ center. In spherical
coordinates, mathematicians usually refer to phi as the polar angle (from the
z-axis). The convention in physics is to use phi as the azimuthal angle (from
the x-axis). The definition of a probability density function makes it
possible to describe the variable associated with a continuous distribution
using a set of binary discrete variables associated with the intervals [a; b]
(for example, a variable being worth 1 if X is in [a; b], and 0 if not). It is
also possible to represent certain discrete random variables using a density of
probability, via the Dirac delta function.
So In Phi recursion and Phi recursive based forces
of nature. we discover the importance of the relationship and relativity
of (1 / Phi, 1 / Phi 2, 1 / Phi 3...etc .)
Spheres of force forming in each density would have various radius based upon
the progressive increasing of the radius; The relationship of radius
increasing by Phi can be used to represent the vectors creating, 'inertia', and
'charge' while being based on reciprocal space/time ratios constructing a chain
of spin-echo signals imparting polarizing vector fields ( metric) for a
predetermined period of time; (moment)
In fact, it is possible to assign a wavelength to any material object, such
as a single atom or a whole assembly of atoms, provided it is travelling at a
known speed relative to the observer. But according to Eq.(1) the wavelength
becomes very small as the mass of the object becomes large; for example, a 74kg
person running at a speed of 5 m/s would have a de Broglie wavelength of 1.8 x
10^-36 m, far below their physical dimensions. Therefore only objects of atomic
or subatomic dimensions display observable wavelike properties such as
diffraction; macroscopic objects exhibit particle-like behaviour and are well
described by classical physics. This can be taken as a further example of the
Correspondence Principle, the predictions of quantum physics approximating to
those of classical physics under the original conditions of investigation.
In classical electromagnetism, Maxwell's equations are a set of four partial
differential equations that describe the properties of the electric and magnetic
fields and relate them to their sources, charge density and current density.
These equations are used to show that light is an electromagnetic wave. There
are four of Maxwell's Equations plus a charge continuity equation. You need to
study your favorite vector differential calculus book to learn about the
divergence (div), curl (curl), and gradient (grad). Roughly, the gradient
represents the "slope" of a scalar field along the direction of maximum change,
and the gradient is a vector. The divergence represents the flow out of a small
volume, per unit volume, and is a scalar. The curl represents the rotation of a
field around a point; for a magnetic field forming closed loops it is the limit
of the size of the field times the perimeter of the loop divided by the area of
the loop, as the loop shrinks to nothing. The curl is a vector as it has an
associated axis of circulation or direction in space.
These basic equations of electricity and magnetism are usually first encountered
as unifying equations after the study of electrical and magnetic phenomena.
Remember that in a any given situation involving electromagnetic fields, the
potentials phi and A are not unique. All that matters is that when
differentiated according to maxwell's equations, they give the right fields E
and B. For instance, adding a constant c1 to phi and a constant vector c2 to A
does not change the derivatives, and so phi' = phi + c1 and A' = A + c2 are
again valid potentials for the physical situation. Choosing a value for phi and
A is called choosing a gauge, and a switch from one gauge to another, such as
going from phi and A to phi' and A' above is called a... gauge transformation.
As it turns out, if the values of phi and A are changed simultaneously for any
function f(x,t), the gauge transformation phi' = phi - df/dt and A' = A + grad(f)
leaves the fields unchanged!
QED interactions and their paradox is the result of hyper dimensional Phi relations that are seen as 'superluminal signaling' creating Phi states.. which have been named quarks and virtual particles.. In reality, All 'elementary particles' are either bosons or fermions (depending on their spin). The spin-statistics theorem identifies the resulting quantum statistics that differentiate fermions and bosons. Interaction of virtual bosons with real fermions is called fundamental interactions. Momentum conservation in these interactions mathematically results in all forces we know. Under QED, charged particles interact by the exchange of virtual photons, photons that do not exist outside of the interaction and only serve as carriers of momentum/force. it is known that quantum correlations cannot be described by local variables (LV) alone: if one does not want to abandon classical mechanisms for correlations, a superluminal form of communication among the particles must be postulated.
As the self-field of electron is inseparable from the particle, the electron and its self-field should be considered as a single physical system. In view of the long-range character of the self-field, this system fills in the whole space. In order that such a system be stable, a physical mechanism, connecting its parts in a unit, should exist. The nearly instantaneous transfer of information with the help of standing waves of matter forming the own field of electron is, apparently, such a mechanism
Richard Feynman and others discovered the field is generated by uncertainty itself through particles propagated by a rule based on wave spreading. These particles are called virtual because they have no net positive energy and appear and disappear entirely within the window of quantum uncertainty, so we never see them except as expressed in the force itself. This seething tumult of virtual particles exactly produces the familiar effects of the electromagnetic field and other fields as well. We can find the force between two electrons by integrating the effects of every virtual photon which could be exchanged within the limits of uncertainty and of every other possible virtual particle system, including pairs of electrons and positrons coming into a fleeting existence. However, we can’t eliminate the wave description because the amplitudes with which the particles are propagated from point to point are wave amplitudes.
The standard particle model is not at all a
satisfactory theory,. the difficulty arises in the old problems of confusing the
mathematical form of the theory with the physical processes it describes.
particle physics took the mathematical form of the theory.. its point particles
and fields carried by particle exchanges , but left the physical reality of
light / electromagnetism. Unfortunately, this meant adopting exactly the aspects
of QED where it breaks down and ignoring its contradictions and limitations. No
isolated quark or gluon has ever been directly observed. The most serious
contradiction to the standard theory is in the spin itself.. in a series pf
experiments done with spin aligned protons, protons have a greater chance of
being deflected in a collision when their spins are parallel.
IN EFFECT THE PROTONS ACT LIKE VORTICES
(PHI)
the photon wave passing through two slits ends up being absorbed by a
single atom. But how does the wave avoid two particles accidentally being
absorbed in far flung parts of its wave function out of direct communication?
Just how large such waves can become can be appreciated if we glance out at a
distant galaxy, whose light has had to traverse the universe to reach us. The
ultimate size of the wave of such a photon is almost as big as the universe.
Only one photon is ever absorbed for each such wave, so once we detect it, the
probability of finding the photon anywhere else, and hence the amplitude of the
wave, must immediately become zero everywhere. How can this happen, if
information cannot travel faster than the speed of light? The same thing happens
when I shine my torch against the window. The amplitude of each photon is both
reflected, so I can see it, and transmitted, so that it could also escape into
the night sky. Although the wave may spread far and wide, if the particle is
absorbed anywhere, the probability across vast tracks of space has to suddenly
become zero
The photon could end up anywhere the wave is non-zero.
Nobody can tell exactly where, for a single photon. However, each individual
photon really does seem to end up getting absorbed as a particle somewhere,
because we get a scattered pattern of individual dark crystals on the film at
very low light intensities, which slowly build up to make the bands again. This
is the mysterious phenomenon known as reduction of the wave packet. Effectively
the photon was in a superposition of states represented by all the possible
locations within the wave, but suddenly became one of those possible states, now
absorbed into a single localized atom, where we can see its evidence as a silver
crystal on the film. Only when there are many photons does the behavior average
out to the wave distribution. Thus each photon seems to make its own mind up
about where it is going to end up, with the proviso that on average many do this
according to the wave amplitude’s probability distribution. So is this quantum
‘free-will’ or superluminal signaling through hyper dimensional relationships?
Examples of Sacred Geometry (and Golden Mean geometry) in matter:
Atomic structure, electron spin and photons
Magnetization reversal processes and domain structures
All types of crystals, natural and cultured.
The geometric molecular and atomic patterns that all elemental metals exhibit.
The hexagonal geometry of snowflakes.
The way in which lightning forms branches.
The way in which rivers branch.
The propensity for the Phi ratio to appear in nature is also be because this ratio optimizes the efficiency of packing structures in a limited space in such a way that wasted space is minimized and the supply of energy of nutrients is optimized. Phi thus becomes a standing example of how coding information in different ways (in this case Mathematics) makes us discover the ways Nature operates. Mathematically Phi is considered to be the most irrational number and this again will help us understand that why nature chose ‘Phi’ as its favorite number
Nature’s Trademark – Phi

This geometrical archetype, reveals to us the nature of form and its
vibrational resonances. Symbolic of the underlying principle of the
inseparable relationship of the part
to the whole. It is this principle of oneness underlying all geometry that
permeates the architecture of all inseparability and union
and provides us with a continuous reminder of our relationship to the whole -
a blueprint for the mind to the sacred foundation of all
things created."
"There are only two ways to live your life. One is as though nothing is a miracle. The other is as though everything is a miracle." --A. Einstein ...
Everything is alive!
Quantum physics and molecular biology are two disciplines that have evolved relatively independently. However, recently a wealth of evidence has demonstrated the importance of quantum mechanics for biological systems and thus a new field of quantum biology is emerging. Fundamental biological processes that involve the conversion of energy into forms that are usable for chemical transformations are quantum mechanical in its nature. These processes involve chemical reactions themselves, light absorption, formation of excited electronic states, transfer of excitation energy, transfer of electrons and protons, etc. DNA emits and receives both phonons and photons, or electromagnetic waves of sound and light. The function of DNA lies not only in protein synthesis ... but in the realm of bioacoustic and bioelectric signaling.". Some other biological processes, e.g. orientation of birds in the magnetic field of Earth also require quantum mechanics. Living systems have mastered the making and breaking of chemical bonds, which are quantum mechanical phenomena. Absorbance of frequency specific radiation (e.g. photosynthesis and vision), conversion of chemical energy into mechanical motion (e.g. ATP cleavage) and single electron transfers through biological polymers (e.g. DNA or proteins) are all quantum mechanical effects.
Changes in the states of living units (vions) are predicted and controlled via the radiation of virtual photons. This radiation has been measured and calculated, and is found to be coherent within a quarter wavelength, so that mitogenic radiation also is similar to coherent laser beam technology. quantum biological process is similar to the biological process, and the actions within atoms and subatomic units are very similar to the quantic interaction of exchanges within the biological units
It renders generally valid expressions for both the forces between bodies and the forces on atoms in the presence of bodies while showing very clearly the intimate relation between the different types of dispersion forces. By considering examples, the influence of various factors like form, size, electric and magnetic properties,
Recent research has demonstrated that electromagentic signals are of key importance in the regulatory functioning of DNA . Part of it is based on ultraviolet luminence creating biophotons that have been experimentally demonstrated to be able to enhance metabolic reactions thousandfold . Another aspect is an electromagnetically mediated "language" for communication between DNA and the cells. Actually laser light generated in DNA,
experimental findings about DNA control of cellular processes mediated by
electromagnetic/quantum mechanical mechanisms introduce important new elements
that radically change our understanding of the workings of DNA.
Most importantly, they seriously undermine the present biotechnological dogma
where DNA is treated as a micro-object like a 'stick and ball' model, that is
"clipped" and "glued". Instead, so far completely unknown Quantum Wave aspects
have been found to be involved that may radically change our understanding of
what happens in genetic engineering.
These assumptions produce a chromosome apparatus and fast wave genetic information channels connecting the chromosomes of the separate cells of an organism into a holistic continuum, working as the biocomputer, where one of the field types produced by the chromosomes, are their radiations. This postulated capability of such "laser radiations" from chromosomes and DNA, has already been demonstrated. Thus it seems the accepted notions about the genetic code must change fundamentally, and in doing so it will be not only be possible to create and understand DNA as a wave biocomputer, but to gain from nature a more fundamental understanding of what information really is!
"The explanation for these observations required the existence of fairly long
lived vibrational mode excitations, the quantized versions of which are called
phonons. Phonon modes can be used as a basis set for describing all atomic
motion, and such atomic motion is necessary for biological function. The
phonons can form a frequency and wavelength description that can replace the
position and time description of atom displacements. By this switch new
insights to the energetics of processes can be gained".
1. “organisms are anti-entropic as long as they are alive. Biology enriches the repertoire of quantum mechanics so as to include a robust heat engine as a legitimate member of a quantum in addition to the already established member of a quantum including an atom, molecule, and macromolecule.
2. the organism is a liquid crystal:“… liquid crystals have an orientational order, in that the molecules are aligned in some common direction(s), rather like crystal. But unlike solid crystals, liquid crystals are flexible, malleable, and responsive.” All major components of the living system DNA, RNA, muscle proteins, collagens, connective tissues are liquid crystals.
Both 1 & 2 make possible communication within the organism by means of very weak signals. Hence quantum coherence can account for the unity and viability (the wholeness and the capacity to sustain itself) of the living organism. That is, given the presence of a third level of remarkably efficient energy use and storage and the easily shaped responsive liquid crystal state, it becomes possible to understand how a quantum coherent field can affect a living thing:“ the living system is one coherent ‘photon’ field bound to living matter. This photon field is maintained far from thermodynamic equilibrium and is coherent simultaneously in a whole range of frequencies that are nonetheless coupled together.” is, each of the different components of the organism has its own rhythm. These rhythms are made synchronous by a quantum-coherent field The evolution of biosystems has created “texts”, similar to natural context dependent texts in human languages, shaping the text of these speech-like patterns.2. The chromosome apparatus acts simultaneously both as a source and receiver of the genetic texts, respectively decoding and encoding them.3. The chromosome continuum of multi cellular organisms is analogous to a static-dynamical multiplex time-space holographic grating, which comprises the space-time of an organism in a convoluted form. The DNA molecule,, is thus able to form three-dimensional (and holographic) images both of the biostructures which makeup the organism and of the organism as a whole. It thus resembles a homunculus far more than it does the successive dispenser of a triple codon language. The action of DNA is typically nonlocal: the quantum nonlocality encountered can appear 1.in the organism as a whole 2. at the molecular level 3. the cellular –nuclear level. 4. The cellular level, and 5. the “chromosome-holographic” level. Hence “bioinformatics events can be instantaneously coordinated”. They take place “here” and “there” simultaneously. The intercellular diffusion of signal substances is too slow to account for how highly complex biosystems work in real time
a very particular kind of quantum computer. quantum measurement confers on the living cell “an ability to influence its particle dynamics in a way unique to life; able to create directed” mutations.

'Phi' Symmetry and Rhythm matter!
the Invariant Set Postulate is proposed as a new geometric framework for understanding the basic foundations of quantum physics. "Crucially, the framework allows a differentiation between states of physical reality. The Invariant Set Postulate differentiates between reality and unreality, suggesting the existence of a state space, within which a smaller subset of state space (reality) is embedded. The theory suggests the existence of a state space (the set of all possible states of the universe), within which a smaller (fractal) subset of state space is embedded. This subset is dynamically invariant in the sense that states which belong on this subset will always belong to it, and have always belonged to it. since the Invariant Set Postulate does not require superposed states, quantum theory is incomplete since it is blind to the intricate structure of the invariant set. quantum mechanics is not itself sufficiently complete to determine whether a point in state space lies on the invariant set, unifying the concepts of non-Euclidean causal space-time geometry and the fractal a temporal geometry of state space
when information is transferred form the molecular level to the macro level, there is one thing that is conserved- Phi.
Organic chemistry is a discipline within chemistry which involves the
scientific study of the structure, properties, composition, reactions, and
preparation (by synthesis or by other means) of chemical compounds consisting
primarily of carbon and hydrogen, which may contain any number of other
elements, including nitrogen, oxygen, the halogens as well as phosphorus,
silicon and sulfur.The original definition of "organic" chemistry came from the
misconception that organic compounds were always related to life processes.
However, organic molecules can be produced by processes not involving life. Life
as we know it also depends on inorganic chemistry. For example, many enzymes
rely on transition metals such as iron and copper; and materials such as shells,
teeth and bones are part organic, part inorganic in composition. Apart from
elemental carbon, only certain classes of carbon compounds (such as oxides,
carbonates, and carbides) are conventionally considered inorganic. Biochemistry
deals mainly with the natural chemistry of biomolecules such as proteins,
nucleic acids, and sugars.
In organic chemistry, functional groups are specific groups of atoms within
molecules that are responsible for the characteristic chemical reactions of
those molecules. The same functional group will undergo the same or similar
chemical reaction(s) regardless of the size of the molecule it is a part of.
However, its relative reactivity can be modified by nearby functional groups.
The different shapes and chemical reactivities of organic molecules provide an
astonishing variety of functions, like those of enzyme catalysts in biochemical
reactions of live systems. Because of their unique properties, multi-carbon
compounds exhibit extremely large variety and the range of application of
organic compounds is enormous. They form the basis of, or are important
constituents of all earthly life processes.
Clouds of gas and dust grains in
interstellar space contain complex organic molecules made of hundreds of chained
carbon atoms. The total number of biologically-relevant molecules found
in interstellar space to date is 141. Scientists have previously found benzene,
a ring-shaped carbon molecule important for life on Earth, around stars and
intact amino acids in meteorites that have crash-landed on Earth.
The symmetry of a molecule is determined by the existence of symmetry
operations performed with respect to symmetry elements. A symmetry element is a
line, a plane or a point in or through an object, about which a rotation or
reflection leaves the object in an orientation indistinguishable from the
original. Many of the properties of atoms can now be accurately predicted by
quantum mechanical calculations employing a very extended version of the atomic
orbital concept.
A molecular orbital differs from the atomic case only in that the orbital must
describe the motion of an electron in the field of more than one nucleus, as
well as in the average field of the other electrons. A molecular orbital will in
general, therefore, encompass all the nuclei in the molecule, rather than being
centred on a single nucleus as in the atomic case. Once the forms and properties
of the molecular orbitals are known, the electronic configuration and properties
of the molecule are again determined by assigning electrons to the molecular
orbitals in the order of increasing energy and in accordance with the Pauli
exclusion principle.
Why is carbon the major component of so many molecules used in living things?
It can link up in long chains with many possible arrangements and shapes
3D structure has huge effect on how molecule is used and recognized by living
organisms;
Function follows form
Each carbon atom is bound to four other carbon atoms, and the angles between bonds are either 90° or 120° ; Angels found in and able to communicate "Phi" sacred geometry of motion. The geometry of the structure can be described by a single internal free parameter such as the interatomic distance, the lattice constant, or the volume. The most commonly known solid phases of pure carbon are graphite and diamond. Graphite is the stable phase at low pressures while diamond is stable at high pressures. Several other known metastable phases include hexagonal diamondor lonsdaleite, amorphous forms of carbon, and crystalline fullerenes.
Like many things in the chemical world, the shape and structure of a molecule is an important determinant of its function. The importance of the bent structure of water is that it provides water with two distinct "sides": One side of the water molecule has two negative lone pairs, while the other side presents the two hydrogens. Water is also highly polar - the two sides of water have very different charge. Because water has a slightly negative end and a slightly positive end, it can interact with itself and form a highly organized 'inter-molecular' network.
In atoms, electrons occupy atomic orbitals, but in molecules they occupy
similar molecular orbitals which surround the molecule. The simplest molecule is
hydrogen, which can be considered to be made up of two seperate protons and
electrons. There are two molecular orbitals for hydrogen, the lower energy
orbital has its greater electron density between the two nuclei. This is the
bonding molecular orbital - and is of lower energy than the two 1s atomic
orbitals of hydrogen atoms making this orbital more stable than two seperated
atomic hydrogen orbitals. The upper molecular orbital has a node in the
electronic wave function and the electron density is low between the two
positively charged nuclei. The energy of the upper orbital is greater than that
of the 1s atomic orbital, and such an orbital is called an antibonding molecular
orbital.
Orbital Overlap
The overlap of two 2py orbitals is shown below. The two nuclei both lie on the z
axis. Use the slider to move the two atoms close together. Notice that as the
atoms approach each other, the two 2py orbitals overlap with the region of
overlap occurring above and below the line connecting the two nuclei. The
overlap region itself is between the two nuclei but not directly in the middle
of the two nuclei.
This type of overlap is designated pi ((p)). The
energy diagram for the interaction is shown at the lower left. The energies of
the isolated 2py orbitals are shown on the far left and right of the energy
diagram. When the orbitals are brought close together, two molecular orbitals
are formed
Pi Bonding Orbital
Of the two molecular orbitals, the lower energy orbital is the bonding orbital.
Pi Anti-Bonding Orbital
The higher energy molecular orbital is the antibonding orbital. The region
between the two nuclei is void of electron density. In fact, there is a nodal
surface separating the two nuclei. This is characteristic of an anti-bonding
orbital The electron density is concentrated in regions above and below the line
passing through the two nuclei. There is no electron density along this line.
This is characteristic of a pi-type interaction.
When this activity results in a lower overall energy for all involved atoms, the
atoms remain attached and a molecule has been formed. The geometry of a molecule
or polyatomic ion is determined by the positions of individual atoms and their
positions relative to one another. Ultimately, the shape of a molecule is the
equilibrium geometry that gives us the lowest possible energy for the system.
Such a geometry comes about as the electrons and nuclei settle into positions
that minimize nucleus-nucleus and electron-electron repulsions, and maximize
electron-nucleus attractions.
Dipoles can be characterized by their dipole moment, a vector quantity. For the simple electric dipole given above, the electric dipole moment would point from the negative charge towards the positive charge, and have a magnitude equal to the strength of each charge times the separation between the charges. For the current loop, the magnetic dipole moment would point through the loop (according to the right hand grip rule), with a magnitude equal to the current in the loop times the area of the loop. In addition to current loops, the electron, among other fundamental particles, is said to have a magnetic dipole moment. This is because it generates a magnetic field which is identical to that generated by a very small current loop.
Is the dipole-dipole force, which varies inversely as the fourth power between co-linear dipoles, seen to be the same as the familiar inverse square?
photon exchange is a 2-way process and an electron cannot radiate a photon
unless there is another charged particle to receive it. This exchange of
photons accounts for the electrostatic force acting between the electrons and we
know it follows the inverse square law.
the driving field is coupled to the atom via diagonal dipole matrix elements,
then a region of quasistability for the virtual cloud exists.
Dipole moments are caused by pairs of charges. The dipole moment gives rise to an electric field along the entire length of a structural element. Dipole moments are often used by proteins to attract and position charged substrates and products. The peptide chain naturally has a dipole moment because the N-terminus carries about 1/2 a positive charge and the C-terminus carries about 1/2 unit of negative charge. The alpha helix is known to carry a partial negative charge at its C-terminus and a positive charge at its N-terminus.
The alpha helix is characterized by hydrogen bonds along the chain, almost co-axial. When the phi, psi angles are in the nominal range: Alpha helices are the most well known element of protein structure, proposed by Pauling, alpha-helices have distinctive patterns of hydrogen bonding and phi-psi angles.
The bonds between the amino group and the
a-carbon atom and between the
a-carbon atom and the carbonyl group are
pure single bonds. The two adjacent rigid peptide units may rotate about these
bonds, taking on various orientations. This freedom of rotation about two
bonds of each amino acid allows proteins to fold in many different ways.
The rotations about these bonds can be specified by dihedral angles The angle of
rotation about the bond between the nitrogen and the
a-carbon atoms is called phi
(f). The angle of rotation
about the bond between the a-carbon
and the carbonyl carbon atoms is called psi (y).
The dihedral angle between planes in a general tetrahedron is closely connected
with the face areas via a generalization of the law of cosines.
A clockwise rotation about either bond as viewed from the front of the back
group corresponds to a positive value. The f
and y angles determine the path of the
polypeptide chain.
Dihedral angles of amino acids are of considerable importance in protein
tertiary structure as they define the backbone of a protein and hence almost
define the protein's entire conformation. Amino acid sequences determine the
three-dimensional structures of proteins. Amino acid sequence is the link
between the genetic message in DNA and the three-dimensional
structure that performs
a protein's biological function. Relations between amino acid sequences and
three-dimensional structures of proteins govern the folding of polypeptide
chains. Circular clustering of protein dihedral angles are caused by Minimum
Message Length.
isomerization
As children we all played with a kaleidoscope and every turn produced a new
design, The glass beads remain the same in color and number but their
rearrangement viewed through a prism yields a different design.
Constitutional isomers are like that. The subtlety is that identically connected
atoms give stereoisomers which are enantiomers, diastereoisomers or cis-trans
isomers. These are handled differently by living organisms which show
preferences between right and left sided compounds. In future articles we will
try to show that we and the universe also have a chirality or handedness.
In chemistry, isomers (Greek isos = "equal", méros = "part") are compounds
with the same molecular formula but different structural formulae. Isomers do
not necessarily share similar properties unless they also have the same
functional groups. This should not be confused with a nuclear isomer. A nuclear
isomer is a metastable state of an atomic nucleus caused by the excitation of
one or more of its nucleons. A nuclear isomer occupies a higher energy state
than the corresponding non-excited nucleus, called the ground state. There are
many different classes of isomers, like stereoisomers, enantiomers, geometrical
isomers, et cetera
Stereoisomers are isomeric molecules that possess identical constitution, but
which differ in the arrangement of their atoms in space.
In chemistry, an enantiomer is one of two stereoisomers that are
nonsuperimposable complete mirror images of each other, much as one's left and
right hands are "the same" but opposite. Enantiopure compounds refer to a
sample having within the limits of detection, molecules of only one chirality.
Enantiomers have, when present in a symmetric environment, identical chemical
and physical properties except for their ability to rotate plane-polarized
light by equal amounts but in opposite directions. A mixture of equal parts of
an optically active isomer and its enantiomer is termed racemic and has a net
rotation of plane-polarized light of zero.
Enantiomers of each other often do have different chemical properties related
to other substances that are also enantiomers. Since many molecules in the
bodies of living beings are enantiomers themselves, there is often a marked
difference in the effects of two symmetrical enantiomers on living beings,
including human beings.
Isomerisation is the process by which one molecule is transformed into another
molecule which has exactly the same atoms, but the atoms are rearranged e.g.
A-B-C → B-A-C (these related molecules are known as isomers ). In some
molecules and under some conditions, isomerisation occurs spontaneously. Many
isomers are equal or roughly equal in bond energy, and so exist in roughly
equal amounts, provided that they can interconvert relatively freely, that is
the energy barrier between the two isomers is not too high. When the
isomerisation occurs intramolecularly it is considered a rearrangement
reaction.
ENZYMES can distinguish between biologically active forms (isomers)
based upon the "SHAPE" of that isomer
Proteins are a chain of amino-acids with bonding by the CO-NH links. The protein spontaneously assumes a tertiary three dimensional structure depending on the charges on its constituent amino-acids, their hydrophilic or hydrophobic structure and other covalent and or ionic bonds formed with neighboring atoms. Tertiary structure is considered to be largely determined by the protein's primary structure, or the sequence of amino acids of which it is composed. The normal protein has alpha helixes. Proteins are polymers of amino acids and each one of the component amino acids has a handed optical isomer; which means that it is a 'Phi' harmonic molecule.
Chemists most often work with representations of molecules where the position of each atom is fixed with respect to the others. The ball and stick model. In contrast to such static descriptions, the atoms in a molecule are constantly moving with respect to each other. These motions are called vibrations. Each vibration has a characteristic energy, which depends upon the mass of the moving atoms and the strength of the bonds holding the atoms together.
The motion of DNA molecules is of interest because of its fundamental importance in analytical biochemistry:; The dipolar coupling under goes important variations with the site and the helix geometry. Symmetry relations are derived for the electronic configurations, vibrational modes and numbers of chemical shifts of these shell clusters
These are the conformational, rotational, longitudinal and transverse
motions. Several sets of nonlinear discrete equations can be established, from
the solutions of small amplitude (phonons) to large amplitude (soliton or
solitary waves)! In mathematics and physics, a soliton is a self-reinforcing
solitary wave (a wave packet or pulse) that maintains its shape while it travels
at constant speed. They are of permanent form; They are localised within a
region; They can interact with other solitons, and emerge from the collision
unchanged, except for a phase shift.
The motion (transverse, longitudinal and torsional) of DNA can be divided in two main regions: the small and large amplitude of internal motions. The small amplitude of motion can be described as a harmonic oscillator (A .Vibrating Molecular Bond as a Harmonic Oscillator) The large amplitude of internal motion can be considered as a nonlinear dynamical system where solitary conformational waves can be excited. Nonlinear interaction between molecules in DNA gives rise to a very stable excitation, the so-called soliton. Soliton is a pulse-like nonlinear wave which forms a collision with similar pulse having shape and speed.
As you can see, DNA is far from motionless and has a 'pulse' or 'beat' and can send and receive wave signals. .DNA takes part in some elegant physical maneuvers that are just beginning to become apparent.
Many proteins in living cells appear to have as their primary function the transfer and processing of information, rather than the chemical transformation of metabolic intermediates or the building of cellular structures. Such proteins are functionally linked through allosteric or other mechanisms into biochemical 'circuits' that perform a variety of simple computational tasks including amplification, integration and information storage.

How do “amino acids” join to
form protein?
Amino acids have 2 ends
amino group (NH2)
carboxylic acid group (COOH)
H atom from the amino end joins with an OH group from the carboxylic acid end
to form “H20”
The H20 molecule moves away & the 2 amino acids are joined by a “peptide” bond
More amino acids join in the same way and a long chain is formed
Carbon Chemistry
Carbon a versatile atom has 4 electrons in an outer shell that holds 8
- carbon can share its electrons with other atoms to form up to 4 covalent
bonds
Carbon can use its bonds to attach to other carbons
to form an endless diversity of carbon skeletons
- each carbon in an organic molecule can branch off in up to 4 directions
Carbon atoms of organic molecules can also bond with other elements (hydrogen,
oxygen, nitrogen)
Functional Groups
Each type of organic molecule has a unique 3-dimensional shape that defines
its function in an organism
- the molecules of your body recognize one another based on their shapes
The unique properties of an organic compound depend not only on its carbon
skeleton but also on the atoms attached to the skeleton
- these atoms are called functional groups
Functional groups behave consistently from one organic molecule to another
4 Important Functional Groups
Many biological molecules have 2 or more functional groups
How do cells make large molecules out of smaller organic molecules
Building Blocks
On a molecular scale, many of life’s molecules are gigantic
- biologists call them macromolecules (macro = ‘big’) such as DNA,
carbohydrates, proteins
Most macromolecules are polymers
- polymers are made by stringing together many smaller molecules called
monomers
- cells link monomers together through a dehydration reaction (removes a
molecule of water)
Organisms break down macromolecules (digestion)
- cells do this by a process called hydrolysis (hydro = ‘water’ lyse =
‘break’; to break with water)
Dehydration Reaction
Synthesis – a polymer grows in length when an incoming monomer and
the monomer at the end of the existing chain contribute to the formation
of a water molecule, the monomers then replace their lost covalent
bonds with a bond to each other
Hydrolysis
Breaking a polymer chain – hydrolysis reverses the process by
breaking down the polymer with the addition of water molecules, which
break the bonds between monomers
Biological Molecules
There are 4 categories of large molecules in cells:
Carbohydrates Lipids Proteins Nucleic Acids
3-D orientation of chemical
groups that are free to assume different positions in space without breaking
any bonds
- do primarily to... FREE ROTATION of atoms about a single chemical bond WEAK
NON-COVALENT FORCES hold atoms in spatial arrays
- consequences of conformations...different isomeric shapes (forms) of
molecules can exist, only one of which may be biologically active (others
aren't)
Molecular symmetry in chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in chemistry, as it can predict or explain many of a molecule's chemical properties, such as its dipole moment and its allowed spectroscopic transitions (based on selection rules such as the Laporte rule). Virtually every university level textbook on physical chemistry, quantum chemistry, and inorganic chemistry devotes a chapter to symmetry
The theory of Chemical Reaction Networks tries to draw links between topology and dynamics and attempts at understanding the qualitative behavior of reaction networks under parameters values.
Directed by the energy and wave function shape of the reactants for every reaction, rewriting rules may be repeatedly applied. Thus a reaction network is generated from an initial set of molecules.
Looking back in time, we see that Networks of chemical reactions (CRNs) extend to hypercycles, reaction networks of self-reproducing molecules, which are considered to be the predecessors of life. Looking further back, the conditions making life possible are again CRNs,
Complexity in molecular biology comes in the form of large networks of chemical reactions which govern the life and physics of cells at the microscopic level.
Amino acids are necessary to
form proteins which themselves form the structure of cells and play important
roles in the biochemical reactions life requires. The base pairs within DNA,
which actually transfer the genetic code, are made of simple nitrogen-based
compounds.
Simple amino acids display important functional attributes such as chiral molecular recognition. the effect of amino acids on the metal substrate is, in some cases, quite profound, leading to chiral imprinting via chiral faceting and reconstruction.
Like strings of letters and words in a text,
protein sequences are linear chains of amino acids. The amino acid is one of
the fundamental building blocks in protein sequences.
Side-chains themselves have components in common among each other based on
their chemical composition. Thus, we could also consider smaller chemical
units than the amino acids as the functional building blocks of proteins. At
the other end, there are also cases where a single amino acid is not
sufficient to convey a specific “meaning”, but a group of amino acids does,
generally referred to as a functional motif. For example, the triplet D/E R Y
is a conserved motif in a specific protein family (the G-protein coupled
receptors) known to en-code the ability to interact with another protein (the
G-protein). Finally, amino acid sequences can be replaced without loss in
function, as individual amino acids or as groups of amino acids.
Complex
organic molecules start with small molecules interacting through a closed cycle of
reactions, These reactions produce compounds that feed back into the
cycle, creating an ever-growing reaction network. All the interrelated
chemistry is contained in simple membranes, or what physicist Freeman Dyson
calls "garbage bags." These divide just like cells do, (only on a
much smaller scale) with each new bag
carrying the chemicals to restart—or replicate—the original cycle. In this
way, "structural" information can be transferred.
Networks of biochemical reactions are responsible for processing environmental
signals, inducing the appropriate responses and sequence of internal
events.
This recognition of life based on small molecules is sometimes called "metabolism
first" (to contrast it with the "genes first" RNA world).
Small molecules play crucial role in the modulation of biological functions by interacting with specific macromolecules.
Peptide Geometry. PHI: minimal clashes at
"staggered". conformation at -120: Peptides (from the Greek
πεπτίδια, "small digestibles") are short polymers formed from the linking, in
a defined order, of α-amino acids. The link between one amino acid residue and
the next is known as an amide bond or a peptide bond.
Proteins are polypeptide molecules (or consist of multiple polypeptide
subunits). The distinction is that peptides are short and
polypeptides/proteins are long. There are several different conventions to
determine these, all of which have caveats and nuances.
The polypeptide of a protein molecule can be considered as a chain of C alpha
atoms linked by pseudobonds between the C alpha atoms of successive amino acid
residues. This paper presents an analysis of the angle and dihedral angles
made by these pseudobonds in protein structures determined at high resolution
by X-ray crystallography. This analysis reveals a strong correlation between C
alpha geometry and the protein fold. The regular features of protein secondary
structure such as alpha-helix and beta-sheet are very clearly defined. In
addition, it is possible to identify with some confidence the discrete
populations of particular conformations of beta-turn. Comparison with the
traditional Ramachandran type of plot demonstrates that an analysis of protein
structure on the basis of C alpha geometry provides a richer description of
protein conformation. In addition, the characteristics of this geometry could
be a useful guide in model building of protein structure.
In an effort to reduce the number of degrees of freedom necessary to describe
a polypeptide chain we analyze the statistical behavior of polypeptide chains
when represented as C alpha chains, C alpha chains with C beta atoms attached,
and C alpha chains with rotational ellipsoids as models of side chains.
A more realistic description of side chains may be attained by modeling side
chains as rotational ellipsoids that have roughly the same orientation and
steric hindrance. To this end, we define the steric mass of an atom as
proportional to its van der Waals volume and we calculate the side-chain
inertia ellipsoid assuming that the steric mass of each atom is uniformly
distributed within its van der Waals volume. Finally, we define the rotational
ellipsoid representing the side chain as the uniform density ellipsoid
possessing the same rotationally averaged inertia tensor of the side chain.
The statistics of ellipsoid parameters support the possibility of representing
a side chain via an ellipsoid, independently of the local conformation. To
make this description useful for molecular modeling we describe
ellipsoid-ellipsoid interactions via a Lennard-Jones potential that preserves
the repulsive core of the interacting ellipsoids and takes into account their
mutual orientation.
Proteins are
constructed from one or more unbranched chains of amino acids Proteins are
polymers. Proteins are made when amino acids combine in a given order in chain
form. No two proteins have the same sequence of amino acids Every protein has
a different number and arrangement of amino acids A typical protein contains
200-300 amino acids
Protein aggregates associate & form intermolecular contacts that resemble
those found in the final crystal. Aggregates reach the critical nuclear size,
growth proceeds by addition of molecules to the crystalline lattice.
The processes of nucleation and crystal growth both occur in supersaturated
solutions.
. The newly designed and synthesized peptide with molecular weight (MW) about 1,000 is much smaller than naturally occurring proteins with MW 5.000~150,000. However, in view of two essential requirements for protein functioning: specific 3D structures and cooperative structural transition, the synthesized peptide may be regarded as “a smallest protein”. Protein is one of most important materials supporting life phenomena, and it has been known that for the expression of its function, the formation of specific 3D structure is playing a key role.
It has been generally conceived that for a protein keeping stable 3D structures, it has to possess at least 30~50 amino acid residues. The synthesized peptide pushes the lower limit widely downward, requesting to revise the understanding on the minimal structural unit of protein. The present study is expected to promote the progress in the studies of stabilization mechanism, folding and molecular design of proteins, and exercise a significant impact to the investigation on the origin of life.
A peptide bond is a chemical bond formed between two molecules when the carboxyl group of one molecule reacts with the amino group of the other molecule, thereby releasing a molecule of water (H2O). This is a dehydration synthesis reaction (also known as a condensation reaction), and usually occurs between amino acids. The resulting CO-NH bond is called a peptide bond, and the resulting molecule is an amide. The four-atom functional group -C(=O)NH- is called an amide group or (in the context of proteins) a peptide group. Polypeptides and proteins are chains of amino acids held together by peptide bonds, as is the backbone of PNA. Polyamides, such as nylons and aramids, are synthetic molecules (polymers) that possess peptide bonds.
The amide group has two resonance forms, which confer several important properties. First, it stabilizes the group by roughly 20 kcal/mol, making it less reactive than many similar groups (such as esters). The resonance suggests that the amide group has a partial double bond character, estimated at 40% under typical conditions. The peptide group is uncharged at all normal pH values, but its double-bonded resonance form gives it an unusually large dipole moment, roughly 3.5 Debye (0.7 electron-angstrom). These dipole moments can line up in certain secondary structures (such as the α-helix), producing a large net dipole.
In the unfolded state of proteins, the peptide groups are free to isomerize and adopt both isomers; however, in the folded state, only a single isomer is adopted at each position
Using principal component analysis (PCA) on the intrasegment C(alpha)-C(alpha) atomic distances, the conformational space of protein segments, which we call the protein segment universe, has been visualized, and three essential coordinate axes, have been identified. radius of gyration, structural symmetry, and separation of hairpin structures from other structures.
Stem-loop intramolecular base pairing is a pattern that can occur in
single-stranded DNA or, more commonly, in RNA. The structure is also known as a
hairpin or hairpin loop. It occurs when two regions of the same molecule,
usually palindromic (reads the same in both directions, for example AAGC in one
direction would read TTCG in the other and it would be a palindrome in relation
to a DNA) in nucleotide sequence, base-pair to form a double helix that ends in
an unpaired loop. The resulting lollipop-shaped structure is a key building
block of many RNA secondary structures. Stem-loops occur in pre-microRNA
structures and most famously in transfer RNA, which contain three true
stem-loops and one stem that meet in a cloverleaf pattern. The anticodon that
recognizes a codon during the translation process is located on one of the
unpaired loops in the tRNA. Two nested stem-loop structures occur in RNA
pseudoknots, where the loop of one structure forms part of the second stem. Many
ribozymes also feature stem-loop structures. The self-cleaving hammerhead
ribozyme contains three stem-loops that meet in a central unpaired region where
the cleavage site lies. The hammerhead ribozyme's basic secondary structure is
required for self-cleavage activity. Stem-loop structures are also important in
prokaryotic rho-independent transcription termination. The hairpin loop forms in
an mRNA strand during transcription and causes the RNA polymerase to become
dissociated from the DNA template strand. This process is known as rho-independent
or intrinsic termination, and the sequences involved are called terminator
sequences.
These peptide groups are not contiguous in the amino acid sequence. The first
dipoles to be aligned are those that are both sufficiently close in space to be
arranged in approximately linear arrays termed dipole paths. The criteria used
in the construction of dipole paths are: to assure good alignment of the
greatest possible number of dipoles that are close in space; to optimize the
electrostatic interactions between the dipoles that belong to different paths
close in space; and to avoid locally unfavorable amino acid residue
conformations. The equations for dipole alignment are solved separately for each
path, and then the remaining single dipoles are aligned optimally with the
electrostatic field from the dipoles that belong to the dipole-path network. A
least-squares minimizer is used to keep the geometry of the alpha-carbon trace
of the resulting backbone close to that of the input virtual-bond chain. This
procedure is sufficient to convert the virtual-bond chain to a real chain; in
applications to real systems, however, the final structure is obtained by
minimizing the total ECEPP/2 (empirical conformational energy program for
peptides) energy of the system, starting from the geometry resulting from the
solution of the alignment equations. When applied to model alpha-helical and
beta-sheet structures, the algorithm, followed by the ECEPP/2 energy
minimization, resulted in an energy and backbone geometry characteristic of
these alpha-helical and beta-sheet structures.
Messenger ribonucleic acid (mRNA) is a molecule of RNA encoding a chemical "blueprint" for a protein product. mRNA carries coding information to the sites of protein synthesis: the ribosomes. Here, the nucleic acid polymer is translated into a polymer of amino acids: a protein. In mRNA as in DNA, genetic information is encoded in the sequence of four nucleotides arranged into codons of three bases each. Each codon encodes for a specific amino acid, except the stop codons that terminate protein synthesis. This process requires two other types of RNA: transfer RNA (tRNA) mediates recognition of the codon and provides the corresponding amino acid, while ribosomal RNA (rRNA) is the central component of the ribosome's protein manufacturing machinery.
As a starting point, consider the common metaphor of biological systems as 'circuits'.
CMOS was also sometimes referred to as
complementary-symmetry metal–oxide–semiconductor (or COS-MOS). The words
"complementary-symmetry" refer to the fact that the typical digital design
style with CMOS uses complementary and symmetrical pairs of p-type and n-type
metal oxide semiconductor field effect transistors (MOSFETs) for logic
functions.
Two important characteristics of CMOS devices are high noise immunity and low
static power consumption. Significant power is only drawn when the transistors
in the CMOS device are switching between on and off states. Consequently, CMOS
devices do not produce as much waste heat as other forms of logic, for example
transistor-transistor logic (TTL) or NMOS logic, which uses all n-channel
devices without p-channel devices. CMOS also allows a high density of logic
functions on a chip.
when an object becomes so simple that a symmetry assertion of the form F(x)
= x becomes an exact statement of experimentally verifiable sameness, x ceases
to follow the rules of classical physics and must instead be modeled using the rules of quantum physics.
This transition also provides an important insight into why the mathematics of
symmetry are so deeply intertwined with those of quantum mechanics. When
physical systems make the transition from symmetries that are approximate to
ones that are exact, the mathematical expressions of those symmetries cease to
be approximations and are transformed into precise definitions of the
underlying nature of the objects. From that point on, the correlation of such
objects to their mathematical descriptions becomes so close that it is
difficult to separate the two.
A reconstructive approach to genetic circuits may offer unique insight into
their underlying mechanisms. In this approach, one constructs synthetic
replicas of natural genetic circuits out of well-characterized elements, such
as genes, proteins, regulatory sequences, and so on, and observes their
dynamics in living cells.
Signaling motifs (nuclear transcriptional receptors, kinase/phosphatase
cascades, G-coupled protein receptors, etc.) have composite dose-response
behaviors in relation to concentrations of protein receptors and endogenous
signaling molecules. "Molecular circuits" include the biological components
and their interactions that comprise the workings of these signaling motifs.
Many of these molecular circuits have nonlinear dose-response behaviors for
endogenous ligands and for exogenous toxicants, acting as switches with
"all-or-none" responses over a narrow range of concentration. In turn, these
biological switches regulate large-scale cellular processes, e.g., commitment
to cell division, cell differentiation, and phenotypic alterations.
“the cell membrane is a liquid crystal semiconductor with gates and channels." What makes this so extraordinary is how it compares to the definition of a computer chip: "a chip is a liquid crystal semiconductor with gates and channels."
a simple mechanism, based on the Hall Effect, by which static and low
frequency (50–60 Hz) pulsed electromagnetic fields (PEMFs) can modify cation
flow across biological membranes and alter cell metabolism. We show that
magnetic fields commonly found in the environment can be expected to cause
biologically significant interactions between transported cations and basic
domains of cation channel proteins. We calculate that these interactions
generate forces of a magnitude similar to those created by normal
transmembrane voltage changes known to gate cation channels. Thus PEMFs are
shown to have the potential of regulating flow through cation channels,
changing the steady state concentrations of cellular cations and thus the
metabolic processes dependent on cation concentrations.
In effect, Lipton's research has established that cell membranes perform the
same function in biology that semiconductors perform in electronics!
This has several extraordinary implications. First, both computers and cells
are programmable. Second, the programmer is an outside entity or force.
Again, this is not to minimize the importance of genetics or conventional
biological understanding of structures such as mitochondria. Rather, it is to
say that the living organism is much more plastic and amenable to
environmentally-induced changes -- even later in life -- than conventional
biology has believed.
Interest has emerged toward the construction of biochemical circuits based on cellular logic gates A number of model systems have been constructed to perform oscillators, bistable circuits,and boolean gates. we describe an approach to the design of synthetic cis-regulatory networks based on the analogy of these networks with logic circuits. Specifically, transcription logic is based on the fact that the expression of a gene is regulated by the mutual interaction of DNA-binding proteins (transcription factors) which bind to specific subsequences in the upstream region of the gene (promoter sites). Our approach builds upon two specific recent advances in the field of cellular computation. Weiss et al. have demonstrated the implementation of logic gates in bacteria, and has studied the problem of connecting these gates to build more complex circuits. Buchler et al. have proposed a quantitative model of transcriptional gates based on a thermodynamic approach. Building upon these results, we show how circuits of higher complexity can be implemented according to the basic principles of digital circuit design. Specifically, simple blocks can be put together to implement more complex combinational circuits. Then the addition of feedback paths enables the construction of sequential circuits. The design of sequential circuits is particularly attractive because they represent the most general class of logic circuits. We demonstrate the construction of a memory element and of a 1-bit Arithmetic-Logic Unit (ALU) as stepping stones to the construction of a biological CPU.
The practical realization of DNA data storage is a major scientific goal. Here we introduce a simple, flexible, and robust data storage and retrieval method based on sequence alignment of the genomic DNA of living organisms. Duplicated data encoded by different oligonucleotide sequences was inserted redundantly into multiple loci of the Bacillus subtilis genome. Multiple alignment of the bit data sequences decoded by B. subtilis genome sequences enabled the retrieval of stable and compact data without the need for template DNA, parity checks, or error-correcting algorithms.
Digital parity and the composition of the nucleotide alphabet. Shaping the
alphabet with error coding. The quest for error correction in biology. Recent
developments in codes and biology. Why nature chose A, C, G and U/T: an
error-coding perspective of nucleotide alphabet composition. Communication
theory and molecular biology at the crossroads. Alignment-based approach for
durable data storage into living organisms. Computational aspects of
systematic biology.
Modern methods of encoding information into digital form include error check
digits that are functions of the other information digits. When digital
information is transmitted, the values of the error check digits can be
computed from the information digits to determine whether the information has
been received accurately. These error correcting codes make it possible to
detect and correct common errors in transmission. The sequence of bases in DNA
is also a digital code consisting of four symbols: A, C, G, and T. Does DNA
also contain an error correcting code? Such a code would allow repair enzymes
to protect the fidelity of nonreplicating DNA and increase the accuracy of
replication. If a linear block error correcting code is present in DNA then
some bases would be a linear function of the other bases in each set of bases.
information comes first.. form equals function at every level.. there is energy exchange at every level.. there is systematic feedback a every level
Symmetric binary logical connectives are "and" (^, , or &), "or" (v), "biconditional"
(iff) (↔), NAND ("not-and"), XOR ("not-biconditional"), and NOR ("not-or").
Generalizations of symmetry
If we have a given set of objects with some structure, then it is possible for
a symmetry to merely convert only one object into another, instead of acting
upon all possible objects simultaneously. This requires a generalization from
the concept of symmetry group to that of a groupoid. Heisenberg discovered
quantum mechanics by considering the groupoid of transitions of the hydrogen
spectrum.
The notion of groupoid also leads to notions of multiple groupoids, namely
sets with many compatible groupoid structures, a
structure which trivialises to abelian groups if one restricts to groups. This
leads to prospects of `higher order symmetry'
We quantify the influence of the topology of a transcriptional regulatory network on its ability to process environmental signals. By posing the problem in terms of information theory, we may do this without specifying the function performed by the network. Specifically, we study the maximum mutual information between the input (chemical) signal and the output (genetic) response attainable by the network in the context of an analytic model of particle number fluctuations. We perform this analysis for all biochemical circuits, including various feedback loops, that can be built out of 3 chemical species, each under the control of one regulator. We find that a generic network, constrained to low molecule numbers and reasonable response times, can transduce more information than a simple binary switch and, in fact, manages to achieve close to the optimal information transmission fidelity.
a new method for creating logic circuits out of DNA that work in a test
tube—taking chemical input and producing chemical output. Because these
circuits operate under conditions mimicking an intracellular environment, this
research may be a step toward designing a "micro-controller" for biological
cells and other complex chemical systems.
These circuits work in water because they are based on chemistry, not
electronics. Rather than encoding signals in high and low voltages, these
circuits encode signals in high and low concentrations of short DNA molecules.
The chemical logic gates that perform the information processing are also DNA;
each gate is a carefully folded complex of multiple short DNA strands. When a
gate encounters the right input molecules, it releases its output molecule.
This output molecule in turn can help trigger a downstream gate—so the circuit
operates like a cascade of dominoes where each falling domino topples the next
one. However, unlike dominoes and electronic circuits, components of these DNA
circuits have no fixed position and cannot be simply connected by a wire.
Instead, the chemistry takes place in a well-mixed solution of molecules that
bump into each other at random, relying on the specificity of the designed
interactions to ensure that only the right signals trigger the right gates.
This was also largely inspired by an indirect attempt to understand the
hypothetical "RNA world," a time four billion years ago when all the major
tasks within primitive cells were carried out by complex RNA molecules. This
hypothesis implies that although proteins may be better at many chemical
tasks, and have now largely taken over, they aren’t absolutely necessary:
nucleic acids can do the job also, be it catalyzing chemical reactions,
carrying information, or serving as structural molecules. This changes the
bias about what kinds of chemistry are necessary for engineering complex and
functional molecular systems.
Making use of this molecular mechanism, we constructed gates to perform all
the fundamental binary logic operations—AND, OR, and NOT—that are the building
blocks for constructing arbitrarily complex logic circuits. To demonstrate
that the circuit elements can indeed be combined and cascaded to compute
complex functions, we created a series of circuits, the largest one taking 6
inputs processed by 12 gates in a cascade 5 layers deep (see Figure 1). This
is not large by the standards of Silicon Valley, but it demonstrates several
design principles that could be important for scaling up biochemical circuits.
While biochemical circuits have been built previously, both in test tubes and
in cells, our implementation is novel in that the circuits' functions rely
solely on the properties of DNA base-pairing—no biological enzymes are
necessary for their operation. This allowed us to use a systematic and modular
approach to design the logic circuits, incorporating many of the features of
digital electronics.
Indeed, viewing metabolic pathways as electrical circuits is particularly
apt as, in each case, a limited set of entity classes (metabolites versus
resistors, capacitors and inductors) are represented by icons that are linked
by lines (or arrows) representing interactions between iconified entities. The
benefit of such pathway and circuit diagrams is, of course, that they help us
infer and track how a change in a 'state property' (for example, metabolite
concentration versus electrical voltage) of one icon acts via an 'action
property' (metabolic flux rate versus electrical current) on the state
properties of linked icons. The problem for biologists is that metabolite
concentrations and flux rates, while absolutely fundamental to many biological
systems, are not the only functional properties that need to be considered.
Just as architectural plans must display and distinguish several interacting
circuit systems with different properties (such as power, water, drainage,
ventilation, telephone, security, and digital cable), diagrams of
multidisciplinary biological systems must distinguish multiple functions
(metabolic pathways, enzyme kinetics, ion fluxes, fluid flow) characterized by
different properties (concentration, catalytic activity, voltage, pressure,
respectively). Thus, the key challenge for describing, archiving and analyzing
complex biological systems is not simply to collect expressive icons and
arrows but to establish a system of expressive icons and arrows that
consistently and unambiguously represents the functional entities and their
specific functional properties.
In the Genetic Programming extension, the genes are the valid statements
within a computer language and the chromosome in this case is itself the
program.The technique of Genetic Algorithms is widely applicable, even in art.
If we code genes to refer to some feature of an image or music we can evolve
extraordinary organically based art forms or music. Any system of building
blocks can be readily adapted to these procedures and in this way transcend
automatically the imagination of its creator. By constraining the system by
the desired criteria (tests) we can allow design processes to evolve as a
background task - resulting in quite unexpected innovations. Nature's way.
We must however be clear that we are not fully imitating nature here. Our
artificial genes (called G-Types) have well defined correspondences with
function or form (called P-Types). We also have only one chromosome of very
limited length in our genome, whereas natural genotypes contain many
chromosomes, each with thousands of genes. In nature genes translate to body
form (phenotype or morphology) via a very complex interactive process, the
form is itself an emergent phenomena dependent on the interaction of genes
with themselves, with the cell chemistry and with the surrounding environment.
We cannot predict this process adequately without understanding the nature of
emergence.
information in the universe is created by processes capable of generating
and maintaining information against the second law of thermodynamics, which
describes the irresistible increase in disorder or entropy. We call these
anti-entropic processes ergodic. They should be appreciated as the creative
source of everything we can possibly value, and of everything distinguishable
from chaos and therefore interesting.
One process has formed the macrocosmos of galaxies, stars, and planets. This
process drives the expansion of the universe and gravity.
This process has generated the particular forms of microscopic matter -
atoms, molecules, and the complex molecules that support biological organisms.
It includes QED and all quantum cooperative phenomena.
In another process 'Quantum phenomena' control the evolution of life and drive
biological speciation.
Although information philosophy looks at the universe, and life, through the
single lens of information, it is far from mechanical and reducible to
deterministic physics. The growth of information over time - as a principle of
increasing information - is through time and individuals become
distinguishable. Increasing information explains all emergent phenomena,
including many presumed “laws of nature.”
The DNA molecule, the program for all life, is based on the Golden section. It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral.34 and 21, of course, are numbers in the Fibonacci series and their ratio,1.6190476 closely approximates Phi, 1.6180339. It is interesting to note as the technology improves and we get more accurate dimensions the ratio keeps getting closer to phi. It now appears that the ratio of the width to the vertical offset may also converge to the same ratio
The observed fractal frequency distributions of the Drosophila DNA base
sequences
exhibit quasicrystalline structure with long-range spatial correlations or
self-organized
criticality… The dominant peak periodicities are functions of the golden
mean.”
Two quantities are said to be in the golden ratio, if "the whole (i.e., the
sum of the two parts) is to the larger part as the larger part is to the
smaller part", i.e. (a+b)/a = a/b. Quite interestingly this ratio comes out to
be phi. Phi2= Phi + 1
a special efficiency in the case of
Fibonacci-number-related structure of
microtubules that may provide advantage in
its function as a "information processor
It is worth noting that the number keeps recursively occurring as we move from
one level of complexity to another.
PHI;
Operations and function based on OO
& set theory
Synchronization of pulse-coupled biological oscillators!
Signaling pathways can be thought of as biochemical logic circuits where the flow of information is the path of 'Phi' .. Biological clocks give organisms a rhythmic pattern to follow.
Many biological processes, including cell division, metabolism, and seasonal flowering, are controlled by cycles of activity. Mechanisms called biological clocks maintain these cycles. Some clocks do not operate independently of others. Rather, clocks may interact such that the state of one system can alter another.
In some clocks cycling occurs at the mRNA levels rather than the transcription level.; the adaptive evolution of complexity in a simple model of a signaling network. Biological networks are found at the core of all biological functions, from biochemical pathways to cell communication processes and gene regulation mechanisms.
Close inspection of even relatively simple biological regulatory circuitry reveals multiple levels of control of the contributing protein interactions. although currently the emphasis in predicting protein interactions is based on equilibrium thermodynamic principles, kinetics can be a major controlling feature in these systems.
All chemical bonds of a higher order or the result of more fundamental forces or 'motions'.. they are not separate forces and they did not come about by random chance.. they are manifestations of the 'same' organizing forces that govern self assembly and are Phi and the 3 laws.. form equals function.. open systems energy exchange.. and homeostasis.. these motions carry information.. and in fact are information from the most fundamental level upward. atoms are not 'stupid beach ball' they are computers.. they are information.. and the information precedes the 'static' form.. information exchange precedes evolution..
Self-Assembly is the process by which a system of non-living chemical
components became organized into a living, biological system. For
self-assembly to occur, there must be a change in a system from a more
disorganized state to a more "ordered" or "organized" condition that exhibits
some form of structure.
Aromaticity is a chemical property in which a conjugated ring of unsaturated
bonds, lone pairs, or empty orbitals exhibit a stabilization stronger than
would be expected by the stabilization of conjugation alone. It can also be
considered a manifestation of cyclic delocalization and of resonance
Stacking in supramolecular chemistry refers to a stacked arrangement of aromatic molecules, which interact through aromatic interactions. The most popular example of a stacked system is found for consecutive base pairs in DNA. Stacking also frequently occurs in proteins where two relatively non-polar rings have overlapping pi orbitals.
In supramolecular chemistry, an aromatic interaction (or π-π interaction) is a noncovalent interaction between organic compounds containing aromatic moieties. π-π interactions are caused by intermolecular overlapping of p-orbitals in π-conjugated systems,
In chemistry folding is the process by which a molecule assumes its shape
or conformation. The process can also be described as intramolecular
self-assembly where the molecule is directed to form a specific shape through
noncovalent interactions, such as hydrogen bonding, metal coordination,
hydrophobic forces, van der Waals forces, pi-pi interactions, and/or
electrostatic effects.
The most active area of interest in the folding of molecules is the process of
protein folding, which is the shape that is assumed by a specific sequence of
amino acids in a protein. The shape of the folded protein can be used to
understand its function
Molecular self-assembly is the process by which molecules adopt a defined arrangement without guidance or management from an outside source. There are two types of self-assembly, intramolecular self-assembly and intermolecular self-assembly. Most often the term molecular self-assembly refers to intermolecular self-assembly, while the intramolecular analog is more commonly called folding.
Hydrophobic and hydrophilic interactions are important because many molecules in biology such as proteins and the molecules that make up the cell membrane have hydrophilic and hydrophobic regions on the same molecule. When put in water these molecules automatically organize themselves into more complex and biologically useful structures.
Molecular self-assembly is crucial to the function of cells. It is exhibited in the self-assembly of lipids to form the membrane, the formation of double helical DNA through hydrogen bonding of the individual strands, and the assembly of proteins to form quaternary structures
Everything from cells to cedar trees is knit together using a myriad of weaker links between small molecules. These weak interactions, such as hydrogen bonds, van der Waals forces, and - interactions, govern the assembly of everything from DNA in its famous double helix to the bonding of H2O molecules in liquid water. More than just riding herd on molecules, such subtle forces make it possible for structures to assemble themselves into an ever more complex hierarchy. Lipids coalesce to form cell membranes. Cells organize to form tissues. Tissues combine to create organisms. Today, chemists can't approach the complexity
Like prefers like. We see this in hydrophobic and hydrophilic interactions that propel lipid molecules in water to corral together to form the two-layer membranes that serve as the coatings surrounding cells. They bunch their oily tails together to avoid any interaction with water and leave their more polar head groups facing out into the liquid. Another rule: Self-assembly is governed by energetically favorable reactions. Leave the right component molecules alone, and they will assemble themselves
biology offers an example in DNA. When enzymes copy DNA strands during cell division, they invariably make mistakes--occasionally inserting an A when they should have inserted a T, for example. Some of those mistakes get by, but most are caught by DNA-repair enzymes that scan the newly synthesized strands and correct copying errors. (an error handler routine)
A molecular switch is a molecule that can be reversibly shifted between two or more stable states. The molecules may be shifted between the states in response to changes in e.g. pH, light, temperature, an electrical current, microenvironment, or the presence of a ligand. Molecular memory is a term used to describe data storage technologies that utilize molecular species as the data storage element, rather than e.g. circuits, magnetics, inorganic materials or physical shapes. The molecular component can be described as a molecular switch, and may perform this function by any of several mechanisms, including charge storage, photochromism, or changes in capacitance. In a perfect molecular memory device, each individual molecule contains a bit of data, leading to massive data capacity.
One approach to molecular memories is based on special compounds such as porphyrin-based polymers which are capable of storing electric charge. Once a certain voltage threshold is achieved the material oxidizes, releasing an electric charge. The process is reversible, in effect creating an electric capacitor.
Biopolymers are a class of polymers produced by living organisms. Starch,
proteins and peptides, DNA, and RNA are all examples of biopolymers, in which
the monomeric units, respectively, are sugars, amino acids, and nucleotides.
The basic molecules of life capable of faithful copying with rare mistakes, are the nucleic acids RNA and DNA, these both can be mutually copied from each other. Cells normally make RNA copies of our DNA and send them to organelles called ribosomes where they are used as template to make corresponding proteins which are a chain of amino-acids. The RNA to DNA and DNA to RNA both involve nucleic acids and the process is called transcription. In other words the language of both is the same but it is like one message is written in italics and the other in block letters. This process is reversible. When RNA is used to make a protein, the language is amino-acids and is different, so this process is called translation.
DNA replication cannot proceed without the assistance of a number of proteins--members of a family of large molecules that are chemically very different from DNA. Proteins, like DNA, are constructed by linking subunits, amino acids in this case, together to form a long chain. Cells employ twenty of these building blocks in the proteins that they make, affording a variety of products capable of performing many different tasks--proteins are the handymen of the living cell. Their most famous subclass, the enzymes, act as expeditors, speeding up chemical processes that would otherwise take place too slowly to be of use to life.
The above account brings to mind the old riddle: Which came first, the chicken or the egg? DNA holds the recipe for protein construction. Yet that information cannot be retrieved or copied without the assistance of proteins. Which large molecule, then, appeared first in getting life started--proteins (the chicken) or DNA (the egg)?
A possible solution appeared when attention shifted to a new champion--RNA. This versatile class of molecule is, like DNA, assembled of nucleotide building blocks, but plays many roles in our cells. Certain RNAs ferry information from DNA to structures (which themselves are largely built of other kinds of RNA) that construct proteins. In carrying out its various duties, RNA can take on the form of a double helix that resembles DNA, or of a folded single strand, much like a protein.
All living cells have a set of special enzymes, the DNA topoisomerases, that
deal with topological problems. There are two basic types that solve two major
topological problems. Class I topoisomerases, solve the problems caused by the
helical nature of DNA. They grasp the DNA and make an incision, cutting the
strand but keeping a firm grip on one of the severed ends. The gapped helix is
then free to rotate around the other strand, releasing any strain that may be
present from overwinding or underwinding. Once relaxed, the
topoisomerase
reconnects the broken strand. DNA topoisomerase It plays an essential role in DNA
replication and DNA transcription. In both cases, the DNA must be unwound to
allow reading of the information held inside. Topoisomerase performs its duty
nearby, releasing the stresses that occur in the process.
The class II topoisomerases, , perform an even more remarkable feat involving
the juggling of two DNA strands. These topoisomerases grab a DNA double helix
and break both strands, retaining a firm grip on each half. Then, a second DNA
strand is passed through the gap. Finally, the first DNA is resealed behind it.
Topoisomerase II plays an essential role in cell division, as the chromosomes
are segregated into the two daughter cells. It releases any loops that may be linking the two chromosomes together as they separate.
The genetic code must deliver stereochemical information to peptide bond
formation via tRNA-tRNA interaction.
The genetic code has an overall symmetry that represents the primary organizing
force behind the code itself. The genetic code is not only an operating system
that builds proteins but also a search engine that efficiently finds proteins
and protein populations. The symmetry of genomes and the symmetry of their codes
of translation are tightly integrated. Each successive step in the evolution of
an adaptive feature must itself be adaptive.
So there is a direct relationship to be seen of motion rising up through Phi relationships from the subatomic to the molecular. From the hydrogen atom to the carbon atom to the hydrocarbon and ionic bounds to the macromolecules of life; allowing for a path of study for quantum biology and an adaptation~evolution. This is seen in three basic laws of biological systems.
Molecular composition of cells...
Water (H2O) 70 %
Inorganic ions (Na, K, Cl, PO4) 1 %
Small molecules (aa’s, sugar, nucleotides) 5 %
Macromolecules (protein, n.a., etc) 24 %
We can think of life as
being comprised of four main types of biomolecules: carbohydrates, lipids,
proteins, and nucleic acids. The two nucleic acids with which we are most
familiar are ribonucleic acid (RNA) and deoxyribonucleic acid (DNA). Just as
nucleic acids and proteins are important to life, so are carbohydrates and
lipids. Because of the roles they play in all forms of life, carbohydrates make
up most of the organic matter on Earth. For instance, carbohydrates are
important as fuel for living organisms, but also serve as a mechanism to store
energy. They are also important constituents of larger molecules; sugar rings
are an important element of nucleic acids like DNA. Finally, carbohydrates also
function as structural elements within the cell, most commonly for cell walls.
Just as proteins are large molecules made up of smaller molecules (amino acids),
carbohydrates themselves can be large molecules as well. Lipids are unusual
molecules in that they have to components with different characteristics. Part
of a lipid molecule is hydrophilic, which means it is attracted to molecules
such as water. The other part is hydrophobic, which means it is repelled by
water. In eukaryotic cells, lipids also form the internal membranes that define
cellular organelles such as the mitochondria or chloroplasts.
there is general agreement that a localized molecular assemblage should be
considered alive if it continually regenerates itself, replicates itself, and is
capable of information transfer. Regeneration and replication involve
transforming molecules and energy from the environment into cellular
aggregations, and evolution requires heritable variation in cellular processes.
The current consensus is that the simplest way to achieve these characteristics
is to house informational polymers (such as DNA and RNA) and a metabolic system
that chemically regulates and regenerates cellular components
Living cells function with such high efficiency and order that the aqueous
environment within them must possess some unique spatial properties to
coordinate motions and interactions between all the ionic and molecular parts.
Based on current concepts, motion and order within molecules in living cells are
controlled by transitions between specific thermodynamic states. However, water
within cells is dynamic - it does not undergo specific transitions and its
molecules do not bind tightly together. Instead, it appears that environmental
order is provided by the transient, dipolar-alignment of water molecules between
ions and charge-centers on molecules to permit proton pulses to oscillate back
and forth to delocalize charge. Although the alignments have preferred lengths
for maximum charge stabilization, the water molecules composing them are still
dynamic - only the short, linear units that propagate the proton charge are
ordered. By repeatedly defining preferred distances between oppositely-charged
centers as multiples of hydrogen-bonded water molecules to minimize energy
potential, motions and interactions are quantized. Thus, the high
efficiency and order evident within living cells can be seen to be provided by
the dynamic, repetitive, linear quantization of aqueous space by the transient
alignment of water molecules between the ionic and molecular parts.
However, One of the wonders of life is that all cells undergo continual turnover, and sustain their structure and function through continuous molecular self assembly. This dynamic renewal process is commonly viewed from the bottom-up, by focusing on the properties and interaction functions of individual molecular components. In reality, all cells form from other cells using preexisting structures, such as the cytoskeleton, as orienting scaffolds that guide replication and formation of new cellular components.
The ratio 'Phi' appears in
certain very important structures of the cell. The hexagonal pattern
The angle is determined by the number phi, often also called the 'golden
section' or 'golden mean'. There are actually two numbers called phi, one with
and one without a capital 'p'. Phi is just phi inverse (and interestingly Phi
and phi have the same fractional part). phi * 360 degrees yields 222.49°,
sometimes (in simulation *and* in real plants) 360° - 222.49° is used instead.
Plants seem to have a preference for one or the other value depending on which
hemisphere they grow in.
The number phi appears to produce the best packing that can be produced by a
constant offset. The constant offset is important for plants as once an organ
grows at a certain place it cannot be rearranged easily. What nature seems to
use is the same pattern to place seeds on a seedhead as it used to arrange
petals around the edge of a flower *and* to place leaves round a stem. What is
more, *all* of these maintain their efficiency as the plant continues to grow
and that's a lot to ask of a single process!
The amazing thing is that a single fixed angle can produce the optimal design no
matter how big the plant grows. So, once an angle is fixed for a leaf, say, that
leaf will least obscure the leaves below and be least obscured by any future
leaves above it. Similarly, once a seed is positioned on a seedhead, the seed
continues out in a straight line pushed out by other new seeds, but retaining
the original angle on the seedhead. No matter how large the seedhead, the seeds
will always be packed uniformly on the seedhead.
And all this can be done with a single fixed angle of rotation between new
cells? Yes! This was suspected by people as early as the last century. The
principle that a single angle produces uniform packings no matter how much
growth appears after it was only proved mathematically in 1993 by Douady and
Couder, two french mathematicians.
Trying other numbers tends to always converge to a pattern with a number of
'arms' going from the center outwards. Depending on the number the pattern may
need longer to exhibit these arms, but all number will eventually end up with a
fixed number of arms.
Actually it turns out that: "No number which can be written as an exact ratio (a
rational number) would be good as a turn-per-seed angle. If we use p/q as our
angle-turn-between-successive-turns, then we will end up with q straight arms,
the seeds being placed every p-th arm."
So what is a "good" value? One that is *not* an exact ratio - an irrational
number such as sqrt2, Phi, phi, e, pi and any any multiple of them. Still not
all of these values work very good.
While still being irrational some of these values can be approximated by
rational fractions pretty good. 355/113 is already a very good approximation to
pi, the error is only 0.000000266. The best approximation to sqrt(2) with a
denominator less than 200 is 239/169 and has an error or 0.0000124. This is much
less satisfactory.
Observations like these have led mathematicians to set up a hierarchy among
irrational numbers, according to how difficult they are to approximate with
rationals. It is in this sense that one irrational is more irrational than
another.
What is "the best" irrational number? One that never settles down to a rational
approximation for very long. Number having this property are called continued
fractions. Phi is such a number.
"An interesting fact is that, for ALL series that are formed from adding the
latest two numbers to get the next, and, starting from ANY two values (bigger
than zero), the ratio of successive terms will ALWAYS tend to Phi!" (definition
of continued fractions?)
Another model which tries to be less descriptive and more explanatory has been
introduced by Fowler in 1992. It works on abitrary surfaces of revolution.
Basically the organs grow at the top of the 'meristem' and then fall down the
outline curve until they collide with an existing organ. They are then placed
tangential to the organ they hit. The line each organ falls down at is rotatet
by phi.
This is a somewhat explanatory model as it actually considers the size of the
organs and their interaction. Still the rotation of phi for each succeeding
organ is not explained by the model and the pattern forming the plant is in
reality determined when the early form of the plant organ (the primordium) is
first created at the tip of the 'meristem'. Also this model has some practical
modeling drawbacks. It is for example hard to estimate the actual number of
plant organs on the receptacle one ends up with. If one wants to create a
certain number of organs/visual appearance one has to change the parameters, run
the simluation, change the parameters again and so on.
Ridley presented a model in 1986. It's similar to the former in that it also
operates on abitrary surfaces of revolution, but it's completely descriptive
again. Here each plant organ is rotated by phi against it's predecessor (around
the axis of revolution of the underlying surface of revolution). The distance
along the outline curve from the start to the position of each organ is brought
into relation with the radius of the supporting surface as well as to the size
of the organs. Both the Outline curve and the organ size can be defined as
abitrary functions.
Let (fx(s), fy(s)), s e [0, L] be a parametric planar curve C that generates the
receptacle (supporting surface) when rotated around the y axis of the coordinate
system. We assume chord-length parametrization of the curve C, which means that
parameter s is the arc-length distance of point (fx(s), fy(s)) from the origin
of the curve. The area dA of the infinitesimal slice of the receptacle generated
by the arc [s, s+ds] is then equal to 2*pi*fx(s)*ds. We denote by pi*ro^2(s) the
area occupied by an organ placed on the receptacle at a distance of s from the
origin of the generating curve C. => We can interpret 1/pi*ro^2(s) as the organ
density at s. The integer part of the Integral
[INTEGRAL]
is then equal to the total number of organs placed in the portion [0, s] of the
receptacle. Consecutive organs are placed at locations that increment N(0,s) by
one.
So do plants know math?
It has been talked a lot about why these patterns turn out to be very good, but
how do these patterns actually develop? This is going to be a short paragraph
because there's no definite answer to that, yet.
Botanists have shown that plants grow from a single tiny group of cells right at
the tip of any growing plant, called the meristem. There is a separate meristem
at the end of each branch or twig where new cells are formed. Once formed, they
grow in size, but new cells are only formed at such growing points. Cells
earlier down the stem expand and so the growing point rises.
Even though the phenomenon of phyllotaxis has been observed for hundreds of
years and studied by many botanists and mathematicians, only recently has there
been a begining of an answer. There is a model by the french physicists Stephane
Douady and Yves Couder, who came up with a simple model for the formation of
these spiral patterns, which they implemented both physically and on the
computer. This model, based on assumptions made by the botanist Hofmeister,
spontaneously generates the Fibonacci spiral patterns. The three basic
principles of Hofmeister on which this model is based are the following:
A new dot is formed periodically in the place around the central disk where it
is least crowded by the others dots.
Once they form, the dots move radially away from the center.
As time increases, the rate at which new dots move away decreases
The dots represent the center of microscopic bulges of cells (primordia) that
occur at the growing tip (meristem) of the plant. These bulges eventually
differentiate to become the leaves, petals, sepals, flowerets or scales of the
plant.
Fractal-like networks effectively endow life with an additional fourth spatial dimension. This is the origin of quarter-power scaling that is so pervasive in biology. Organisms have evolved hierarchical branching networks that terminate in size-invariant units, such as capillaries, leaves, mitochondria, and oxidase molecules. Natural selection has tended to maximize both metabolic capacity, by maximizing the scaling of exchange surface areas, and internal efficiency, by minimizing the scaling of transport distances and times. These design principles are independent of detailed dynamics and explicit models and should apply to virtually all organisms.
NATURE KNOWS
Fibonacci sequences appear in biological settings, such as branching in
trees, the spiral of shells, the curve of waves, the fruitlets of a pineapple,
an uncurling fern and the arrangement of a pine cone. As the Fibonacci sequences
progresses it approximates the Golden Mean.
Why does Phi
appear in plants?
The answer seems to be, at least in some cases, evolution: survival of the
fittest. The geometrical structures that contain the number Phi = 1.618034 are
usually the best structures in terms of “use of available space”, therefore
plants and animals have evolved to have that kind of structures in their bodies.![]()
The
arrangements of leaves is the same as for seeds and petals. All are placed at
0.618034 leaves, (seeds, petals) per turn. In terms of degrees this is 0.618034
of 360° which is 222.492°. However, we tend to "see" the smaller angle which is
(1 - 0.618034) x 360 = 0.381966 x 360 = 137.50776..°.
If there are Phi
(1.618034) leaves per turn (or, equivalently, Phi = 0.618034 turns per leaf ),
then
we have the best packing so that each leaf gets the maximum exposure to light,
casting the least shadow on the others. This also gives the best possible area
exposed to falling rain so the rain is directed back along the leaf and down the
stem to the roots. For flowers or petals, it gives the best possible exposure to
insects to attract them for pollination.
Fibonacci numbers in flower petals
3 Lilies
5 Buttercups, Roses
8 Delphinium
13 Marigolds
21 Black-eyed susans
34 Pyrethrum
55/89 Daisies

Also, many plants show the Fibonacci numbers in the arrangements of the leaves around their stems. If we look down on a plant, the leaves are often arranged so that leaves above do not hide leaves below. This means that each gets a good share of the sunlight and catches the most rain to channel down to the roots as it runs down the leaf to the stem.
Clear examples of Sacred Geometry (and Golden Mean geometry) in Nature:
Creatures exhibiting logarithmic spiral patterns: e.g. snails and various
shell fish.
Birds and flying insects, exhibiting clear Golden Mean proportions in bodies &
wings.
The way in which a tree spans out so that all its branches receive sunlight
Another, perhaps less obvious but most significant example of this special
ratio can be found in Deoxyribonucleic Acid (DNA) - the foundation and guiding
mechanism of all living organisms.
The DNA molecule, the program for all life, is based on the Golden section. It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral.34 and 21, of course, are numbers in the Fibonacci series and their ratio closely approximates Phi,
This shows that the phyllotactic occurrence of Phi may have very deep roots,
deep inside the genetic codes of organisms. Conclusion All these evidences and
several more that are yet to be discovered make the golden ratio an
indispensable number. We began showing evidences for occurrence of the golden
ratioin the DNA and cell structure. Towards the end we were able to show how
certain changes in the DNA sequence actually disrupts the Phi pattern. Thus when
information is transferred form the molecular level to the macro level, there is
one thing that is conserved- Phi. The journey ahead will be interesting as we
try and fill the gaps in the translation process. Phi may in future give rise to
a new branch of non reductionist science where correlation between entities is
far more important than understanding their discrete functions. Already, we have
been able to show the strong correlation the genome sequence has with phi. A
correlation was also be made between Fibonacci Numbers and the ways of operation
of Nature. In Fibonacci numbers each number owes its identity to what has
occurred before it. Thus the series is self forming. Similarly in nature
operates on this very same principal of self organization. Hence Phi is a number
which becomes conspicuous in both.
Life has her own set of 'Phi' relationships as does thermodynamics and vector field power equations!!!
the shape is shared by things as diverse as a seashell, water going down a
drain and the path of a falcon on the hunt.
In terms of origin, development and general physics, there is typically little
or nothing that binds these various spirals. Behind them all, however, is a
magical number.
"The Golden Ratio: Phi, describes among other things the remarkable
connection between avian flight patterns, stormy weather and cosmic pinwheels.
Phi (not pi) is the number 1.618 followed by an infinite string. Take a
rectangle whose sides conform to this Golden Ratio, carve from it a square, and
the remaining rectangle still follows the ratio.
The Golden Ratio also describes the ever-expanding nature of what is termed a
logarithmic spiral, logarithmic spirals appear in totally unrelated phenomena.
"They also appear, interestingly enough, when a falcon dives toward its prey,".
The flight pattern allows the bird to maintain a constant angle. Head cocked,
its eyes never waver. "It allows the falcon to keep its prey continuously in
sight."

Plants and trees grow in the Phi ratio. The Earth and Moon have this same relationship. The sunflower is a wonderful example of the spiraling effect of Phi. Look at a pine cone and find the same relationship of Phi... in two directions at the same time
The Flower of Life (FOL) is a geometrical figure composed of multiple evenly-spaced, overlapping circles, that are arranged so that they form a flower-like pattern with a sixfold symmetry like a hexagon. The center of each circle is on the circumference of six surrounding circles of the same diameter. The FOL symbol is over six thousand years old. Throughout human history, philosophers, artists, and architects around the world have known the FOL for its perfect form, proportion, and harmony. It is considered by many to be a symbol of sacred geometry, said to contain ancient, religious value depicting the fundamental forms of space and time. In this sense, it is a visual expression of the connections life weaves through all mankind, believed by some to contain a type of Akashic Record of basic information of all living things.There are many religious beliefs associated with the FOL; for example, depictions of the five Platonic Solids are found within the symbol of Metatron's Cube, which may be derived from the FOL pattern. These platonic solids are geometrical forms which are said to act as a template from which all life springs.
The "Flower of Life" can be found in all major religions of the world.
It contains the patterns of creation as they emerged from the "Great
Void". Everything is made from the Creator's thought.
After the creation of the Seed of Life the same vortex's motion was
continued, creating the next structure known as the Egg of Life.
This structure forms the basis for music, as the distances between the spheres
is identical to the distances between the tones and the half tones in music. It
is also identical to the cellular structure of the third embryonic division (The
first cell divides into two cells, then to four cells then to eight). Thus this
same structure as it is further developed, creates the human body and all of the
energy systems including the ones used to create the Merkaba. If we
continue creating more and more spheres we will end up with the structure called
the Flower of Life.
In the early 20th century, Ernst Haeckel described (Haeckel, 1904) a number of species of Radiolaria, some of whose skeletons are shaped like various regular polyhedra. Examples include Circoporus octahedrus, Circogonia icosahedra, Lithocubus geometricus and Circorrhegma dodecahedra. The shapes of these creatures should be obvious from their names. Circogonia Icosahedra from Haeckels 1904 Kunstformen der Natur. 157 by 175 pixels, 6172 bytes. ... Possible classes Polycystinea Acantharea Taxopodea Radiolaria are amoeboid protozoa that produce intricate mineral skeletons, typically with a central capsule dividing the cell into inner and outer portions, called endoplasm and ectoplasm. ... Ernst Haeckel. ... Possible classes Polycystinea Acantharea Taxopodea Radiolaria are amoeboid protozoa that produce intricate mineral skeletons, typically with a central capsule dividing the cell into inner and outer portions, called endoplasm and ectoplasm
Most radially symmetric animals are symmetrical about an axis extending from the center of the oral surface, which contains the mouth, to the center of the opposite, or aboral, end. This type of symmetry is especially suitable for sessile animals such as the sea anemone, floating animals such as jellyfish, and slow moving organisms such as starfish (see special forms of radial symmetry). Animals in the phyla cnidaria and echinodermata exhibit radial symmetry (although many sea anemones and some corals exhibit bilateral symmetry defined by a single structure, the siphonoglyph)
Symmetry in biology is the balanced distribution of duplicate body parts or shapes. The body plans of most multicellular organisms exhibit some form of symmetry, either radial symmetry or bilateral symmetry or glide symmetry.
it is becoming recognised that
DNA sequences and other molecular information are only one aspect of the
understanding of biological systems. Organisms make use of DNA in highly dynamic
contexts. For example there is no doubt that DNA has a significant role in
organising the development of an organism, but that very little information
about the form of the organism and its developmental path can be 'read off' from
its DNA sequence. Genetics acts in concert with dynamical physical and chemical
processes. The more we learn about genes, the more evident becomes the need for
a good understanding of dynamic effects in biology--- in growth, in development,
in the regulation of genetic networks, in ecosystems, and in evolution.
The mathematics of dynamical systems has undergone its own revolution, as the
need to consider nonlinear effects has become clear. The theory of dynamical
systems is one of the major growth areas of today's mathematical research, and
one of its strengths is a strong conenction with applied science.
There are two distinct ways to encourage interaction between mathematics and
biology. 'Horizontal' programmes select specific problems in biology (such as
protein-folding) and bring many different mathematical methods to bear. What we
propose is the other kind of meeting: a 'vertical' program organized around a
package of general methods that apply to many different biological problems. In
this case, the package is the exploitation of symmetries in nonlinear dynamial
systems, and the strong relation between symmetry and pattern formation.
exploring a far more active role for symmetry, in the context of nonlinear dynamical systems. It has become apparent that the symmetries of a system of nonlinear ordinary or partial differential equations can be used, in a systematic and unified way, to analyze, predict, and understand many general mechanisms of pattern-formation.
It is important to understand that 'pattern' here is not restricted to visual patterns such as shape or pigmentation. The structure and function of the visual cortex involves patterns, and can be modelled by a symmetric network of neurons. The formation of new species is a pattern: one group of organisms, a highly symmetric situation, splits into two groups--- a less symmetric one. Synchronous firing of neurons, which seems to be an important feature of brain function, is a pattern. Phase relations in biological oscillators are patterns.
In physics, patterns can often be understood by writing down very specific and accurate mathematical models --- equations. Few areas of biology are yet equipped with equations of comparable accuracy. It is here the the symmetry approach has major advantages: it is a general method that applies to a variety of models. It can lead to general conclusions even when specific models are unknown, or controversial, or of limited accuracy.
The point here is not the literal symmetry of a biological system, or an organism, or a process. Hardly anything in biology is exactly symmetric. But a huge range of biological systems possess approximate symmetries (for example all organisms in a species are approximately identical), and the best way to model such systems is to exploit the symmetry of an idealized model, and then consider what changes might occur to the conclusions if the symmetry is close, but not exact.
. ...
the space time of living things
Living organisms come in a vast range of sizes--from microbes to whales, they
span at least 21 orders of magnitude.
Viruses are just an assembly of nucleic acids wrapped by a protein coat
(or 'capsid'). When frozen, their readiness to crystallize in highly ordered
patterns was taken as a key cross-over between the purely chemical and the
biological. Many viruses,
have the shape of a regular icosahedron. Viral structures are built of repeated
identical protein subunits and the icosahedron is the easiest shape to assemble
using these subunits. A regular polyhedron is used because it can be built from
a single basic unit protein used over and over again; this saves space in the
viral genome. .they have highly symmetrical crystalline structures,..
Nanobes call into question the minimum size requirements for life; Roughly the
same size as viruses, which are considered only half alive because they need hosts to
reproduce. Dissective cuts through the axes of some of the filaments
''demonstrate that nanobes have an amorphous membrane structure,'' Such an
outer covering, ''is consistent with biological material and excludes the
presence of crystalline mineral compounds. ''They're alive...
Examination revealed the structures to be tiny irregular shaped filaments less
than 1/100,000 mm (millimetres) wide. Further experimentation and observation in
the laboratory showed that the structures were capable of growing and increasing
in number spontaneously on freshly fractured rock As
the smallest known living
organisms they will break not just the small size record but also the
record for hyperthermophiles since at the depth they were found the temperature
is more than 150°C. In trying to nail down the life issue, the team treated the
nanobes with three kinds of DNA stains, in each case getting positive results.
Biologists have successfully revived a bacterium after it apparently remained
dormant for 250 million years encased in a salt crystal,. The previous
record-holder was a bacterium living inside a bee that had been encased in amber
for 25 million to 40 million years. Researchers have known for some time that
bacterial spores can live for long periods of time in a so-called "cryptobiotic"
state, meaning the hardy spores remain alive, but do not feed or reproduce.
halobacteria may be the oldest life form on earth. DasSarma and his team have
recently sequenced the genome of the extreme halophile called Halobacterium
NRC-1. When compared with the genes of other organisms, Halobacterium NRC-1
appears to be the most ancient of the archaean group. Comparisons of small
ribosomal RNA sequences indicate that halophilic bacteria are closely related to
the methanogens. Both types of bacteria are now classified in the kingdom
Euryarchaeota within the Archaea domain. Halophiles need oxygen while
methanogens are anaerobic; however, halophiles can produce energy without oxygen
in two ways: from the degradation of arginine, and by using the photosynthetic
molecule bacteriorhodopsin A remarkable pigment in the cell membrane of
halobacteria called (bacteriorhodopsin) enables them to utilize sunlight for
energy. Like photosynthetic chloroplasts in plant cells, the halobacteria
produce their own ATP; but unlike green plants, they utilize bacteriorhodopsin
instead of chlorophyll. The bacteria survive inside the salt crust, even though
it has been exposed to sun-baked summers and freezing winters.
Extreme thermophilic bacteria
live in boiling water of hot springs where no other living cells can possibly
survive (i.e. without their proteins becoming completely denatured). They have
also been discovered in (or near) hot water emanating from sulfide chimneys
("black smokers") thousands of feet deep at the bottom of the ocean (near the
Galapagos Islands). Surviving in the wild near steam vents where the temperature
reaches 350 degrees Celsius under tremendous pressure, the bacteria have also
been cultured under extreme heat and pressure in the laboratory. Although their
optimal "operating temperature" is just over 100 degrees Celsius, no one would
have believed that a living cell containing DNA, RNA and protein could survive
anaerobically in a pressure cooker at 250 degrees Celsius, more than twice the
temperature of boiling water. These cells could easily have flourished on a
young earth under conditions previously thought to be uninhabitable to all known
life forms.
Acid hot springs in Yellowstone National Park with a pH of below 4.0 support the
eukaryotic alga Cyanidium caldarum. This remarkable photosynthetic alga can even
survive in a pH approaching zero! Some acidophilic hot springs bacteria utilize
the oxidation of sulfur and iron for the synthesis of ATP. Alkaline hot springs
support colonies of bacteria that utilize hydrogen sulfide for their energy
source.
In 2002, bearing her microscope
on a microbe that lives in the gut of fish, Bonnie Bassler isolated an elusive
molecule called AI-2, and uncovered the mechanism behind mysterious behavior
called quorum sensing -- or bacterial communication. She showed that bacterial
chatter is hardly exceptional or anomolous behavior, as was once thought -- and
in fact, most bacteria do it, and most do it all the time. (She calls the
signaling molecules "bacterial Esperanto.")
The discovery shows how cell populations use chemical powwows
to forge slimy defenses called biofilms.
bacteria spore, which can live much longer lives than the parent bacteria. If a bacteria senses bad times (for example, a drought), says Sullivan, it forms spores to suspend animation and wait out the life-threatening conditions.
Spore found recently in New Mexico may have waited 250 million years for the right conditions reports John Fleck in the Albuquerque Journal and others in national news. Pennsylvania biologists William Rosenzweig and Russell Vreeland and New Mexico biologist Dennis Powers announce an amazing feat. Two thousand feet under the ground at Carlsbad, New Mexico, they found spore in tiny water bubbles contained in 250-million-year-old rock salt from a vanished inland sea. They brought the spore back to life and grew bacteria from them!
The oldest rocks sufficiently
unaltered to retain cellular fossils - African and Australian sediments dated to
3.5 billion years old - do preserve prokaryotic cells (bacteria and cyanophytes)
and stromatoIites (mats of sediment trapped and bound by these cells in shallow
marine waters). Thus, life on the earth evolved quickly and is as old as it
could be. This fact alone seems to indicate an inevitability, or at least a
predictability, for life's origin from the original chemical constituents of
atmosphere and ocean.
Driving the first step in evolution A possible candidate for Shapiro's driver
reaction might have been recently discovered in an undersea microbe,
Methanosarcina acetivorans, which eats carbon monoxide and expels methane and
acetate (related to vinegar). Biologist James Ferry and geochemist Christopher
House from Penn State University found that this primitive organism can get
energy from a reaction between acetate and the mineral iron sulfide. Compared to
other energy-harnessing processes that require dozens of proteins, this
acetate-based reaction runs with the help of just two very simple proteins.
Stanley Miller In 1953
creating a chamber with only hydrogen, water, methane, and ammonia. To speed up
"geologic time" in his experiment, he boiled the water and instead of exposing
the mix to ultraviolet light he used an electric discharge something like
lightning. After just a week, Miller had a residue of compounds settled in his
system. He analyzed them and the results were electrifying: Organic compounds
had been formed, most notably some of the "building blocks of life," amino
acids. Miller found the amino acids glycine, alanine, aspartic and
glutamic acid, and others. Fifteen percent of the carbon from the methane had
been combined into organic compounds. As amazing as discovering amino acids at
all was how easily they had formed.
It has been known that in some protein, specific sites of chain polymer called “nucleus” begins to form 3D structure prior to other sites in the earlier phase of folding. If there is any correlation between the initial process of folding and the earlier phase of molecular evolution, it may be expected that the “nucleus” structure is conserved better than other parts. Segments of 3D structure similar to that in “nucleus” of certain protein were extracted from a protein structure database. Since no software for this operation was available at the time of starting the work, an original algorithm was created to develop a special purpose computer program. Through the statistical analysis for a number of extracted segments, it was found that there was a significant bias in amino acid sequence of these segments, and that the bias reflected the stability of the partial structures concerned semi-quantitatively. With such an original computer analysis, some novel amino acid sequences were designed in expectation of forming stable structures, and named “chignolin”. The detailed analysis revealed cooperative response of entire molecule and two-state structural transition. The transition occurred broadly over a wide range of temperatures. About 20 % of chignolin molecules in equilibrium state hold 3D structures even at temperatures around 100 °C. It is very interesting that this small peptide, chignolin can persist stably under higher temperatures in view of “deep sea hydrothermal vents” hypothesis of origin of life.
An endolith or cryptoendolith is an organism (archaea, bacterium, or fungus) that lives inside rock, coral, animal shells, or in the pores between mineral grains. Many are extremophiles; living in places previously thought inhospitable to life. As water and nutrients are rather sparse in the environment of the endolith, they have a very slow procreation cycle. Early data suggests that some only engage in cell division once every hundred years. As most endoliths are autotrophs, they can generate organic compounds essential for their survival on their own from inorganic matter.
Nanoarchaeum
Nanoarchaeum equitans is a species of tiny microbe discovered in 2002 in a
hydrothermal vent off the coast of Iceland by Karl Stetter. A thermophile that
grows in near-boiling temperatures, Nanoarchaeum appears to be an obligatory
symbiont on the archaeon Ignicoccus; it must be in contact with the host
organism to survive. Its cells are only 400 nm in diameter, making it the
smallest known living organism, with the possible exception of nanobes (if they
are considered to be living). Its genome is only 490,885 nucleotides long; as of
2005 it remains the smallest non-viral genome ever sequenced.
Ignicoccus is a genus of Archaea living in marine hydrothermal vents.
The archebacteria of the genus Ignicoccus have tiny coccoid cells with a
diameter of about 2 µm, that exhibit a smooth surface, an outer membrane and no
S-layer. They have a previously unknown cell envelope structure - a cytoplasmic
membrane, a periplasmic space (with a variable width of 20 to 400 nm, containing
membrane-bound vesicles), and an outer membrane (approximately 10 nm wide,
resembling the outer membrane of gram-negative bacteria). The latter contains
numerous tightly, irregularly packed single particles (about 8 nm in diameter)
and pores with a diameter of 24 nm, surrounded by tiny particles, arranged in a
ring (with a diameter of 130 nm) and clusters of up to eight particles (each
particle 12 nm in diameter) They gain energy by reduction of elemental sulfur to
hydrogen sulfide using molecular hydrogen as the electron donor. A unique
symbiosis with (or parasitism of) nanoarchaea has also been reported
Nanobes may even outnumber bacteria by an order of
magnitude! In addition, they appear to be membrane-bound structures
that are possibly surrounded by cytoplasm and nuclear area and are composed of
C, N, and O, chemical constituents associated with living biota
the size of a single ribosome (site of protein synthesis) is roughly the same
as the smallest nanobes. Equally as amazing, the nanobes most likely came from a
sandstone rock sample retrieved from 3-5km below the ocean bed, where the
pressure is around 2,000 atmospheres and the temperature ranges from 115-170°C.
The tests showed the nanobes fulfilled the following criteria to qualify as
life: -
their colonies grew spontaneously;
they contained genetic material (DNA);
they were composed of biological material such as carbon, oxygen and nitrogen;
ultra-thin sections showed an outer layer or membrane that could represent a
cell wall, surrounding a possible cytoplasm and nuclear area.
Further, they tested a variety of plausible non-biological explanations for the
nanobes, gradually discounting materials such as crystalline materials,
carbonates, fullerenes, carbon nano-tubes and non-living polymers.
Folk asserts that nanobacteria are key players in mineral formation and that
their activities aid in the formation of geological strata (e.g. soil
formation). Using acid etching and gentle gold shadowing techniques, he was the
first to demonstrate the presence of 0.05-0.2 µm spherical structures in an
assortment of geologic materials. Folk is credited with discovering nanobe
structures in carbonate rocks, which he attributes to biomineralization
processes by tiny life forms.
shale/clay rich in trace elements and minerals.
studies have shown that the nanobe culturing media has been found to spontaneously generate particles that resemble nanobe cells and "dwelling structures" when inorganic calcium and phosphate salts are combined with organic materials. Nanobacteria may mediate processes currently thought to be controlled by inorganic chemical reactions, such as low-temperature precipitation of dolomite, oxidation of iron, and the formation of clay minerals.
Nanobes may also exist on other planets! Martian meteorites such as ALH84001 have been speculated to contain trace fossils of nanobacteria.
Microbes make up the foundation of the biosphere and sustain all life on earth.
**
In another step toward understanding the origin of Earth's biological molecules, two independent laboratory experiments have produced amino acids--the building blocks of proteins--by simulating conditions in icy, interstellar space; ie.. on interstellar ice particles that are exposed to ultraviolet light,
Saturn's smoggy moon Titan has hundreds of times more natural gas and other liquid hydrocarbons than all the known oil and natural gas reserves on Earth, scientists said today.The hydrocarbons rain from the sky on the moon, collecting in vast deposits that form lakes and dunes. This much was known. But now the stuff has been quantified using observations from NASA's Cassini spacecraft. "Titan is just covered in carbon-bearing material — it's a giant factory of organic chemicals,"
Although Titan is classified as a moon, it is larger than the planets Mercury
and Pluto. It has a planet-like atmosphere which is more dense than those of
Mercury, Earth, Mars and Pluto. The atmospheric pressure near the surface is
about 1.6 bars, 60 percent greater than Earth's. Titan's air is predominantly
made up of nitrogen with other hydrocarbon elements which give Titan its orange
hue. These hydrocarbon rich elements are the building blocks for amino acids
necessary for the formation of life. Scientists believe that Titan's environment
may be similar to that of the Earth's before life began putting oxygen into the
atmosphere.
Titan's surface temperature appears to be about -178°C (-289°F). Methane appears
to be below its saturation pressure near Titan's surface; rivers and lakes of
methane probably don't exist, in spite of the tantalizing analogy to water on
Earth. On the other hand, scientists believe lakes of ethane exist that contain
dissolved methane. Titan's methane, through continuing photochemistry, is
converted to ethane, acetylene, ethylene, and (when combined with nitrogen)
hydrogen cyanide. The last is an especially important molecule; it is a building
block of amino acids.
Saturn's largest satellite has a predominantly nitrogen atmosphere containing a few percent of methane. Both of these compounds are being continuously broken apart by solar UV photons, precipitating electrons from Saturn's magnetosphere, and cosmic rays. The fragments of the parent molecules recombine to make new compounds, while the liberated hydrogen escapes into space (to become a species in Saturn's magnetosphere). Six simple hydrocarbons in addition to methane and five nitriles have been identified, as well as CO and a tiny trace of CO2. Titan's visible atmosphere is filled with smog, which must be a mixture of simple condensates of the identified gases and polymers that have built up from molecules such as HCN and C2H2. Water ice is almost certainly the main constituent of Titan's crust and upper mantle,
Jupiter's moon Europa is slightly smaller than Earth's Moon and is the
sixth-largest moon in the Solar System. Though by a wide margin the least
massive of the Galilean satellites, its mass nonetheless significantly exceeds
the combined mass of all moons in the Solar System smaller than itself. It is
primarily made of silicate rock and likely has an iron core. It has a tenuous
atmosphere composed primarily of oxygen. Its surface is composed of ice and is
one of the smoothest in the Solar System. This young surface is striated by
cracks and streaks, while craters are relatively infrequent. The apparent youth
and smoothness of the surface have led to the hypothesis that a water ocean
exists beneath it, which could conceivably serve as an abode for
extraterrestrial life.Heat energy from tidal flexing ensures that the ocean
remains liquid and drives geological activityAntarctic Lake Vostok. Life in such
an ocean could possibly be similar to microbial life on Earth in the deep ocean.
So far, there is no evidence that life exists on Europa, but the likely presence
of liquid water has spurred calls to send a probe there.
Until the 1970s, life, at least as the concept is generally understood, was
believed to be entirely dependent on energy from the Sun. Plants on Earth's
surface capture energy from sunlight to photosynthesize sugars from carbon
dioxide and water, releasing oxygen in the process, and are then eaten by
oxygen-respiring animals, passing their energy up the food chain. Even life in
the ocean depths, where sunlight cannot reach, was believed to obtain its
nourishment either from consuming organic detritus rained down from the surface
waters or from eating animals that did. A world's ability to support life was
thought to depend on its access to sunlight. However, in 1977, during an
exploratory dive to the Galapagos Rift in the deep-sea exploration submersible
Alvin, scientists discovered colonies of giant tube worms, clams, crustaceans,
mussels, and other assorted creatures clustered around undersea volcanic
features known as black smokers.[55] These creatures thrive despite having no
access to sunlight, and it was soon discovered that they comprise an entirely
independent food chain. Instead of plants, the basis for this food chain was a
form of bacterium that derived its energy from oxidization of reactive
chemicals, such as hydrogen or hydrogen sulfide, that bubbled up from the
Earth's interior. This chemosynthesis revolutionized the study of biology by
revealing that life need not be sun-dependent; it only requires water and an
energy gradient in order to exist. It opened up a new avenue in astrobiology by
massively expanding the number of possible extraterrestrial habitats. Europa's
unlit interior is now considered to be the most likely location for extant
extraterrestrial life in the Solar System.
The theory of abiogenic petroleum origin holds that natural petroleum was
formed from deep carbon deposits, perhaps dating to the formation of the Earth.
The ubiquity of hydrocarbons in the solar system is taken as evidence that there
may be a great deal more petroleum on Earth than commonly thought, and that
petroleum may originate from carbon-bearing fluids which migrate upward from the
mantle. Some scientists (mostly Russian and Ukrainian geologists) believe that
oil wasn't produced from any living thing at all. This abiogenic petroleum
origin hypothesis claims that oil was formed from deep carbon deposits
dating from as early as the formation of Earth. Within the mantle carbon may
exist as hydrocarbon molecules, chiefly methane.. Methane .. The simplest
hydrocarbon, methane, is a gas with a chemical formula of .CH4..
.. It is the simplest alkane, and the principal component of
natural gas. Natural gas occurs in reservoirs beneath the surface of the earth.
It is often found in conjunction with petroleum deposits.
, and as elemental carbon, carbon dioxide and carbonates. The abiotic hypothesis
is that a full suite of hydrocarbons found in petroleum can be generated in the
mantle by abiogenic processes, and these hydrocarbons can migrate out of the
mantle, into the crust until they escape to the surface or are trapped by
impermeable strata, forming petroleum reservoirs.
Hydrogen gas and water have been found more than 6 kilometers deep in the
upper crust,
Everything is alive... life' on its most fundamental level was to small to see before.. and its processes at this level to fast or slow to be observed readily.. life exists everywhere it is not excluded.. its initial formation is in even higher pressures, temperatures and chemical extremes then thought possible before.. the term 'natural selection' by definition implies the exclusion of too many life forms.. and also implies 'punctuated equilibrium'.. once a life expression is found and becomes self sustaining there is no need to redo it.. as seen by the whole system.. 'holistic'.. until the organisms and the environmental homeostasis require it.. Further, there will be cross over states between life and non life seen at the 'elementary' levels and 'is' what is seen in viruses and naobes..
Systems biology
Systems biology focuses on the systematic study of complex interactions in
biological systems, thus using a new perspective (integration instead of
reduction) to study them. "The reductionist approach has successfully identified
most of the components and many of the interactions but, unfortunately, offers
no convincing concepts or methods to understand how system properties
emerge...the pluralism of causes and effects in biological networks is better
addressed by observing, through quantitative measures, multiple components
simultaneously and by rigorous data integration with mathematical models"
"Systems biology...is about putting together rather than taking apart,
integration rather than reduction. It requires that we develop ways of thinking
about integration that are as rigorous as our reductionist programmes, but
different....It means changing our philosophy, in the full sense of the term"
Revolutionary Change in Biology Scientific revolutions are difficult to predict, but two conditions often precede them. The first is along period during which large amounts of data are gathered that cannot be accommodated within traditional conceptual frameworks. The second is a period of substantial influx of ideas and methodologies from other fields. Both conditions apply to biology today. Interestingly, the last revolution in biology happened not long ago: Molecular Biology emerged in the 1950’s, and over several decades re-oriented much biological research toward elucidating the fundamental biochemical and genetic machinery underlying life. A legacy of molecular biology—the cataloguing of DNA sequences of human, animal and plant genomes—has recently given us a comprehensive view of all of the components of life and how they interact with each other. The results have been at once exhilarating and terrifying. Armed for the first time with the ability to interrogate living systems in a comprehensive way, we biologists are finding increasing frustration in our inability to fit life into neat linear pathways that do well-defined jobs. We have been forced to confront the fact that the building blocks of life are interconnected through vast layers of structural and functional interaction, wherein every input triggers hundreds or thousands of outputs. Complexity, of course, is not new in biology. In the molecular biology tradition, one strives to reduce complexity by focusing on elucidating underlying physical and chemical mechanisms. Yet the “new” complexity in biology does not stem from a lack of mechanistic detail. In fact, it is in areas in which we possess the most mechanistic knowledge that our lack of real understanding has become obvious. What so often eludes us is not how molecules and assemblies work in isolation, but how they work together in useful networks
The growth rate parameter in models of certain classes of dynamical systems
in biology satisfies a variational principle which is formally analogous to the
minimization of the free energy in statistical thermodynamics. This principle
implies a precise correspondence between certain concepts in thermodynamic
theory, and certain macroscopic variables that characterize the behavior of
dynamical systems in biology. The evolutionary formalism has led to a descriptor
of the structure and behavior of certain classes of biological systems at the
molecular, cellular and population levels. The variational principle entails
that the methods of equilibrium statistical mechanics, which revolve around
thermodynamic concepts such as free energy and temperature, can be used to study
the non-equilibrium behavior of biological systems, which are described by
processes defined by parameters such as growth rate and cycle time.
Biological systems are interconnected dynamical processes, where myriads
of cells and molecules interact with each other to create elaborate biological
functions. Their collective behaviors are highly robust and sustainable even in
a hostile environment. Analytical and computational studies have shown that
a quantitative measure of the rate of information flow within the network is a
precise measure of the property of homeostasis. This relation is used to explore
the relation between the structure and function of biological networks.
Cybernetics is the interdisciplinary study of
the structure of complex systems, especially communication processes, control
mechanisms and feedback principles. Cybernetics is closely related to control
theory and systems theory, but both in its origins and in its evolution in the
second-half of the 20th century, cybernetics is equally applicable to social
(that is, language-based) systems. Cybernetics is always and only involved when
the system under scrutiny is involved in a closed loop, where action by the
system in an environment causes some change in the environment AND that change
is manifest to the system via information/feedback that causes changes in the
way the system then behaves, and all this in service of a goal or goals. This
"circular causal" relationship is necessary and sufficient for a cybernetic
perspective.
The term symbiosis (from the Greek: σύν syn
"with"; and βίωσις biosis "living") commonly describes close and often long-term
interactions between different biological species. The term was first used in
1879 by the German mycologist, Heinrich Anton de Bary, who defined it as: "the
living together of unlike organisms"
The definition of symbiosis is in flux and the term has been applied to a wide
range of biological interactions. The symbiotic relationship may be categorized
as being mutualistic, parasitic, or commensal in nature . Others define it more
narrowly, as only those relationships from which both organisms benefit, in
which case it would be synonymous with mutualism.
Hummingbirds and ornithophilous flowers have evolved to form a mutualistic
relationship. It is prevalent in the bird’s biology as well as in the flower’s.
Hummingbird flowers have nectar chemistry associated with the bird’s diet. Their
color and morphology also coincide with the bird’s vision and morphology. The
blooming times of these ornithophilous flowers have also been found to coincide
with hummingbirds' breeding seasons.
In a broad sense, biological co-evolution is "the change of a biological object
triggered by the change of a related object". Coevolution can occur at multiple
levels of biology: it can be as microscopic as correlated mutations between
amino acids in a protein, or as macroscopic as covarying traits between
different species in an environment. Each party in a co-evolutionary
relationship exerts selective pressures on the other, thereby affecting each
others' evolution. Species-level co-evolution includes the evolution of a host
species and its parasites, and examples of mutualism evolving through time.
Symbiotic relationships included those associations in which one organisms lives
on another (ectosymbiosis, such as mistletoe), or where one partner lives inside
another (endosymbiosis, such as lactobacilli and other bacteria in humans or
zooxanthelles in corals). Symbiotic relationships may be either obligate, i.e.,
necessary to the survival of at least one of the organisms involved, or
facultative, where the relationship is beneficial but not essential to survival
of the organisms.
Symbiosis played a major role in the co-evolution of flowering plants and the animals that pollinate them. Many plants that are pollinated by insects, bats or birds, have very specialized flowers modified to promote pollination by a specific pollinator that is also correspondingly adapted. The first flowering plants in the fossil record had relatively simple flowers. Adaptive speciation quickly gave rise to many diverse groups of plants, and at the same time, corresponding speciation occurred in certain insects groups. Some groups of plants developed nectar and large sticky pollen while insects evolved more specialized morphologies to access and collect these rich food sources. In some taxa of plants and insects the relationship has become dependent, where the plant species can only be pollinated by one species of insect.
Symbiosis is a major driving force behind evolution. Darwin's notion of
evolution, driven by competition, are incomplete, and evolution is strongly
based on co-operation, interaction, and mutual dependence among organisms, "Life
did not take over the globe by combat, but by networking While historically,
symbiosis has received less attention than other interactions such as predation
or competition, it is increasingly recognized as an important selective force
behind evolution, with many species having a long history of interdependent
co-evolution. In fact the evolution of all eukaryotes (plants, animals, fungi,
protists) is believed to have resulted from a symbiosis between various sorts of
bacteria.
Homeostasis is a system that makes the organism - up to a certain level -
independent of its environment. (Homeostasis is: the possibility every living
system has to keep its inner system balanced, like our body keeps its
temperature constant, independently of the outside temperature). Of course each
living system must at the same time adapt to its environment. Many processes
happen adapted to day or night, or to the seasons. This is not strange. Life has
from the beginning been submitted to day and night. Often organisms are so
adapted to day and night that they have a system that causes the adaptation
already before night falls or morning begins. Biological clocks take care that
things happen at the right time. Homeostasis is nowadays seen as one of the
fundamental aspects of life, having a biological clock may be as fundamental
The tendency of people to see purpose in symmetry
suggests at least one reason why symmetries are often an integral part of the
symbols of world religions. Just a few of many examples include the sixfold
rotational symmetry of Judaism's Star of David, the twofold point symmetry of
Taoism's Taijitu or Yin-Yang, the bilateral symmetry of Christianity's cross and
Sikhism's Khanda, or the fourfold point symmetry of Jain's ancient (and
peacefully intended) version of the swastika. With its strong prohibitions
against the use of representational images, Islam, and in particular the Sunni
branch of Islam, has developed intricate and visually impressive use of
symmetries.
The ancient Taijitu image of Taoism is a particularly fascinating use of
symmetry around a central point, combined with black-and-white inversion of
color at opposite distances from that central point. The image, which is often
misunderstood in the Western world as representing good (white) versus evil
(black), is actually intended as a graphical representative of the complementary
need for two abstract concepts of "maleness" (white) and "femaleness" (black).
The symmetry of the symbol in this case is used not just to create a symbol that
catches the attention of the eye, but to make a significant statement about the
philosophical beliefs of the people and groups that use it.
hurricanes display regular geometry in their eyes.
Volcanic plumes have been known to spawn waterspouts and dust devils, as well as
sheaths of lightning around their roiling debris clouds, but scientists didn't
know why. Images of the 2008 eruption of Mount Chaiten in Chile and a
200-year-old report of an eruption in the Azores by a sea captain that described
these features have helped scientists at the University of Illinois solve the
puzzle. This evidence indicates that the volcanic plume rotates like a tornado
system, a phenomenon the researchers call a "volcanic mesocyclone. "What happens
in tornadic thunderstorms is analogous to what happens in strong volcanic
plumes," said lead author of the study, Pinaki Chakraborty, a postdoctoral
researcher at Illinois. A volcanic plume consists of a vertical column of hot
gases and dust topped by an umbrella-like structure. A volcanic mesocyclone sets
the entire plume rotating, causing it to spawn waterspouts or dust devils and
group together the electric charges in the plume to form a sheath of lightning.
Satellite images of the 1991 eruption of Mount Pinatubo in the Philippines
confirm the rotation of strong volcanic plumes,
The Gaia hypothesis is an ecological hypothesis proposing that the biosphere and the physical components of the Earth (atmosphere, cryosphere, hydrosphere and lithosphere) are coupled to form a complex interacting system. This coordinated system of living organisms maintains the climatic and biogeochemical conditions on Earth in a preferred homeostasis. Gaia theory simply maintains that Earth's natural cycles work together to keep the Earth healthy and support life on Earth. Overall, the Gaia Theory is a compelling new way of understanding life on our planet. It argues that we are far more than just the "Third Rock from the Sun," situated precariously between freezing and burning up. The theory asserts that living organisms and their inorganic surroundings have evolved together as a single living system that greatly affects the chemistry and conditions of Earth’s surface. Gaia philosophy (named after Gaia, Greek goddess of the Earth) is a broadly inclusive term for related concepts that living organisms on a planet will affect the nature of their environment in order to make the environment more suitable for life. This set of theories holds that all organisms on an extraterrestrial life giving planet regulate the biosphere to the benefit of the whole. The Gaia concept draws a connection between the survivability of a species, (hence its evolutionary course) and its usefulness to the survival of other species. While there were a number of precursors to Gaia theory, the first scientific form of this idea was proposed as the Gaia hypothesis by James Lovelock, a UK chemist, in 1970. The Gaia hypothesis deals with the concept of homeostasis, and claims the resident life forms of a host planet coupled with their environment have acted and act as a single, self-regulating system. This system includes the near-surface rocks, the soil, and the atmosphere.
James Lovelock defined Gaia as: a complex entity involving the Earth's
biosphere, atmosphere, oceans, and soil; the totality constituting a feedback or
cybernetic system which seeks an optimal physical and chemical environment for
life on this planet. His initial hypothesis was that the biomass modifies the
conditions on the planet to make conditions on the planet more hospitable – the
Gaia Hypothesis properly defined this "hospitality" as a full homeostasis.
Lovelock's initial hypothesis, accused of being teleological by his critics, was
that the atmosphere is kept in homeostasis by and for the biosphere.
Lovelock suggested that life on Earth provides a cybernetic, homeostatic
feedback system operated automatically and unconsciously by the biota, leading
to broad stabilization of global temperature and chemical composition. With his
initial hypothesis, Lovelock claimed the existence of a global control system of
surface temperature, atmosphere composition and ocean salinity. His arguments
were:
The global surface temperature of the Earth has remained constant, despite an
increase in the energy provided by the Sun.
Atmospheric composition remains constant, even though it should be unstable.
Ocean salinity is constant.
Evolution is less a matter of species competing for inadequate food supplies than a question of species evolving to increase the total food supply and thereby their own share in the total .food supply
In effect, entire ecosystems evolve, not just individual species. Thus a competition does indeed exist, but it is a competition between ecosystems to enlarge energy flows, rather than a fight over existing energy flows; it naturally leads to environmental changes that favor the further development of life.
There is a spectrum of Gaia hypotheses, ranging from the undeniable to
radical. At one end is the undeniable statement that the organisms on the Earth
have radically altered its composition. A stronger position is that the Earth's
biosphere effectively acts as if it is a self-organizing system which works in
such a way as to keep its systems in some kind of equilibrium that is conducive
to life. Biologists usually view this activity as an undirected emergent
property of the ecosystem; as each individual species pursues its own
self-interest, their combined actions tend to have counterbalancing effects on
environmental change. Proponents of this view sometimes point to examples of
life's actions in the past that have resulted in dramatic change rather than
stable equilibrium, such as the conversion of the Earth's atmosphere from a
reducing environment to an oxygen-rich one.
An even stronger claim is that all life forms are part of a single planetary
being, called Gaia. In this view, the atmosphere, the seas, the terrestrial
crust would be the result of interventions carried out by Gaia, through the
coevolving diversity of living organisms. Many scientists deny the possibility
of this view; however, such a view is considered within scientific possibility.
The most extreme form of Gaia theory is that the entire Earth is a single
unified organism; in this view the Earth's biosphere is consciously manipulating
the climate in order to make conditions more conducive to life. Many
non-scientists see homeostasis as a process that requires conscious control. The
more speculative versions of Gaia, including versions in which it is believed
that the Earth is actually conscious, sentient, and highly intelligent, are
usually considered outside the bounds of science.
The question of "what is an organism" and at what scale is it rational to
speak about organisms vs. biospheres, give rise to a semantic debate. We are all
ecologies in the sense that our (human) bodies contain gut bacteria, parasite
species, etc., and to them our body is not organism but rather more of a
microclimate or biome. Applying that thinking to whole planets:
The argument is that these symbiotic organisms, being unable to survive apart
from each other and their climate and local conditions, form an organism in
their own right, under a wider conception of the term organism than is
conventionally used. It is a matter for often heated debate whether this is a
valid usage of the term, but ultimately it appears to be a semantic dispute. In
this sense of the word organism, it is argued under the theory that the entire
biomass of the Earth is a single organism (as Johannes Kepler thought).
The Gaia Theory posits that the organic and inorganic components of Planet Earth
have evolved together as a single living, self-regulating system. It suggests
that this living system has automatically controlled global temperature,
atmospheric content, ocean salinity, and other factors, that maintains its own
habitability. In a phrase, “life maintains conditions suitable for its own
survival.” In this respect, the living system of Earth can be thought of
analogous to the workings of any individual organism that regulates body
temperature, blood salinity, etc. So, for instance, even though the luminosity
of the sun – the Earth’s heat source – has increased by about 30 percent since
life began almost four billion years ago, the living system has reacted as a
whole to maintain temperatures at levels suitable for life.
Our home solar system forms a complex, harmonically interrelating,
multi-octave musical instrument composed of great number of octaves of
vibrational interplay. Your brain and body structures resonate to those
continually fluctuating field patterns as they beat against the Earth', Moon's,
and Sun's natural rhythms.
The Cassini division in the rings of Saturn falls at the Golden Section of
the width of the ring.
A closer look at Saturn's rings reveals a darker inner ring which exhibits the
same golden section proportion as the brighter outer ring.

Earth and the Relationship to Phi
As shown on the Distance Calculation page, the distance of the Earth from the
Sun, where Mercury is 1, is computed as follows:
((½ ( Ö3 + 1 )) ^ (½ ( Ö4 + 1 ))) * (½ ( Ö5 + 1 ))
Note: Öx indicates the square root of x
There is something quite incredible about this derivation for Earth.
Note the repeating term ½ ( Öx + 1 ) with 3, 4, and 5
First, it is quite amazing that the same form of:
½ ( Öx + 1 )
would appear in three successive terms using the integers 3, 4, and 5 for x.
3, 4 and 5 are, of course, the key integers used in the most elementary example
of the Pythagorean theory for right triangles, where
32 + 42 = 52.
The third term, ½ ( Ö5 + 1 ), is Phi!
More incredible yet is that the third term, ½ ( Ö5 + 1 ), is none other than the
ubiquitous number 1.6180339..., better known as phi, or Ø. Phi has mathematical
properties unlike any other number. The reciprocal of Ø is Ø-1, or 0.6180339...
. When a line is divided at 1/Ø, the ratio of the small section to the large
section will be identical to the ratio of the large section to the entire line.
This results in the incredible relationship of 1 and Ø between Venus (to the ¾
power) and Earth:
Similarities in the derivation of Phi and the Earth's distance.
It is also interesting that the derivation of Phi is so similar to the
derivation of the distance of the Earth from the Sun. Consider the similarity in
the formulaic construction, where the first two terms use an exponent and then a
multiplier.
Phi is derived from:
Ø = 5 ^ .5 * .5 + .5 = 1.6180339...
While the distance of the Earth from the Sun, where Mercury = 1 is:
½ ( Ö3 + 1 ) ^ ½ ( Ö4 + 1 ) * ½ ( Ö5 + 1 ) = 2.583306...
The Earth embodies the two treasures of geometry
It's as though Earth embodies the Pythagorean theory and the Golden Section in
one beautiful construction.
Perhaps Johannes Kepler (Mathematician and Astronomer, 1571-1630) had greater
insight into the universe than we may have suspected when he said:
"Geometry has two great treasures: one the Theorem of Pythagoras; the other, the
division of a line into extreme and mean ratio. The first we may compare to a
measure of gold; the second we may name a precious jewel."
The average of the mean orbital distances of each successive planet in relation to the one before it approximates phi:
|
Planet |
Mean |
Relative |
|
Mercury |
57.91 |
1.00000 |
|
Venus |
108.21 |
1.86859 |
|
Earth |
149.60 |
1.38250 |
|
Mars |
227.92 |
1.52353 |
|
Ceres |
413.79 |
1.81552 |
|
Jupiter |
778.57 |
1.88154 |
|
Saturn |
1,433.53 |
1.84123 |
|
Uranus |
2,872.46 |
2.00377 |
|
Neptune |
4,495.06 |
1.56488 |
|
Pluto |
5,869.66 |
1.30580 |
|
Total |
16.18736 |
|
|
Average |
1.61874 |
|
|
Phi |
1.61803 |
|
|
Degree of variance |
(0.00043) |
|
Clouds of interstellar material have been observed throughout the universe.
These clouds spin, causing them to flatten along their rotational axis. This
accounts for the planets forming in the same plane. Gravity also causes the
cloud to collapse. During this process, the center contracts into a ball of hot
gas and dust. This will become the sun; in this stage it is called a protosun.
The next process is accretion, which results in planet formation. First, the
gases outside of the sun condense into solid materials. These particles collide
and are held together by electrostatic forces, gravity and magnetism, forming
larger particles called planetesimals, which in turn collide and form
protoplanets. These protoplanets then become planets. The composition of the
planets is a result of the order of the solid materials that formed from the
gases outside of the sun.
Atoms and molecules within the nebula combined to form larger particles. The Sun determined what kinds of particles could exist. where, in effect acting like a sluice box. The jovian planets are large, with high gravitational fields, so they accumulated much of the Hydrogen and Helium and may be viewed as the beginnings of a binary or trinary solar sytem. As can be seen by comparing the Earth-Sun formation to Jupiter-Europa and Satarn-Ttitan; there are (Phi) forces that define planetary distance to molecular densities producing planetary bodies in zones favorable to life!
An interesting fact is that, for ALL series that are formed from adding the latest two numbers to the following, and, starting from any two values (larger than zero), the ratio of successive terms will always tend to Phi! The varieties of symmetries of crystals of various minerals is a corollary of a varieties of chemical elements and various versions of their spatial packing, which generate a delightful symmetry of an exterior form and symmetry of physical properties of crystals. The varieties of chemical substances is a corollary of a varieties of chemical elements and various combinations of their spatial packing. The stationarity of a structure of steady chemical substances is provided with various kinds of chemical connections. By analogy, the stationarity of structures to gravitational systems should be provided with various kinds of gravitational connections
It has long been recognized that the Phi and the Fibonacci Series are
intimately related to the subject of natural growth. The Phi, the Fibonacci,
Lucas and related series, far from being confined to plant and animal natural
growth alone, occur in numerous diverse contexts over an enormous range that
extends from the structure of quasi-crystals out to the very structure of spiral
galaxies. And this being so, should there really be any great surprise if Phi
should also prove to be an underlying element in the structure of planetary
systems?".
Conforming to the Golden Ratio, hurricanes and galaxies share physical traits.
Gravity and angular momentum, play a role in both cases. Masses of material from
which galaxies were formed had an initial amount of angular momentum,". As a
developing galaxy's gas, dust and stars contract into a smaller region of space,
it all spins faster -- just as a skater twirls more rapidly by pulling her arms
in.
Gravitational disturbances called density waves,
rippling slowly through a galaxy, are thought to cause it to wind up and
generate the spiral appearance.
The spiral arms of a galaxy are places where gas piles up at the
wave crests. The material does not move with the
spirals, but rather is caught up in them.
Meaning there is an Intergalactic Flux of Gravitational Waves
For more than 10 years plasma physicists have had an electrical model of galaxies. It works with real-world physics. The model is able to successfully account for the observed shapes and dynamics of galaxies without recourse to invisible dark matter and central black holes. It explains simply the powerful electric jets seen issuing along the spin axis from the cores of active galaxies. Recent results from mapping the magnetic field of a spiral galaxy confirm the electric model. More recently, inter-galactic magnetic fields have been discovered
Plasma has been called the "fourth state" of matter, after solids, liquids and gases. Most of the matter in the universe is in the form of plasma. A plasma is formed if some of the negatively charged electrons are separated from their host atoms in a gas, leaving the atoms with a positive charge. The negatively charged electrons, and the positively charged atoms (known as positive ions) are then free to move separately under the influence of an applied voltage or magnetic field. Their net movement constitutes an electrical current. So, one of the more important properties of a plasma is that it can conduct electrical current. It does so by forming current filaments that follow magnetic field lines. Filamentary patterns are ubiquitous in the cosmos.
Intergalactic space is the physical space between galaxies. Generally free of
dust and debris, intergalactic space is very close to a total vacuum. Some
theories put the average density of the Universe as the equivalent of one
hydrogen atom per cubic meter. The density of the Universe, however, is clearly
not uniform; it ranges from relatively high density in galaxies (including very
high density in structures within galaxies, such as planets, stars, ) to
conditions in vast voids that have much lower density than the Universe's
average. The temperature is only 2.73 Kelvin. as 2.725 +/- 0.002 K
Surrounding and stretching between galaxies, there is a rarefied plasmathat is
thought to possess a cosmic filamentary structure and that is slightly denser
than the average density in the Universe. This material is called the
intergalactic medium (IGM) and is mostly ionized hydrogen, i.e. a plasma
consisting of equal numbers of electrons and protons. The IGM is thought to
exist at a density of 10 to 100 times the average density of the Universe (10 to
100 hydrogen atoms per cubic meter). It reaches densities as high as 1000 times
the average density of the Universe in rich clusters of galaxies.

The heliosphere is a bubble in space "blown" into the interstellar medium (the hydrogen and helium gas that permeates the galaxy) by the solar wind. Although electrically neutral atoms from interstellar space can penetrate this bubble, virtually all of the material in the heliosphere emanates from the Sun itself.

For the first ten billion kilometres of its radius, the solar wind travels at
over a million kilometres per hour. As it begins to collide with the
interstellar medium, it slows down before finally ceasing altogether. The point
where the solar wind slows down is the termination shock; the point where the
interstellar medium and solar wind pressures balance is called the heliopause;
the point where the interstellar medium, travelling in the opposite direction,
slows down as it collides with the heliosphere is the bow shock.
The solar wind consists of particles, ionized atoms from the solar corona, and
fields, in particular magnetic fields. As the Sun rotates once in approximately
27 days, the magnetic field transported by the solar wind gets wrapped into a
(Phi) spiral.
The shape of galactic rotation curves (i.e. the galactic rotation velocity as a function of the distance from the galactic center), has led astronomers to the conclusion that galaxies must be surrounded by an invisible massive halo of 'dark matter' which exceeds the visible mass by up to 10 times However, even a large additional amount of dark matter would not exclusively determine the galactic gas dynamics.

Their underlying assumption with the old model is that gravity is the only force
determining the dynamics of the galaxy. However, practically all rotation curves
indicating the existence of dark matter have been obtained by observing the
Doppler shift of gas (usually the 21 cm line of hydrogen) rather than of stars.
It is generally assumed that the gas provides a tracer for the motion of the
stars, but this assumption neglects the fact that ionized atoms are very much
affected by electromagnetic forces: it is easy to show that with the generally
assumed galactic magnetic field of 10-6 Gauss, the Lorentz force on a thermal
proton is about 10 orders of magnitude stronger than the gravitational force
(assuming a galaxy of the mass and size of the Milky Way) and should therefore
completely determine the dynamics of the plasma, which in turn should also have
an impact on the neutral gas because of recombination.
magnetic fields are a key part of the interstellar medium and scientists are finding they may play a major role in galactic formation, such as helping to form the (Phi) spiral arms of galaxies

rotation is a large part of the higher velocities inside the galaxy, and this
is perhaps some of our missing energy; and note there is also rotation within
the rotation being an expression for the rotation of plane of polarization, of
an electromagnetic wave, induced by the field of a gravitational wave
propagating along the same direction
[(Gμd2Ω4)/(3ω)], ω and Ω being their
respective frequencies. Plane-parallel magnetic fields with a dominant
azimuthal component 'Phi" prevail in
spiral galaxies. This can be easily understood
because differential rotation is strong in spiral
galaxies
the recursive irony of which is that they are themselves the primary thing that is pulling and twisting themselves together in this definite, time-space spiral galaxy pattern . . . . . their motion is "fixed", within a loose envelope . . . . time dependent . . . on a well-defined galaxy spiral clock cycle (non-linear, with varying time rate/s); that is, it has a definite sequence as measured by it's (non-linear) space dragging and time warping characteristics, over time and space (see spiral arm pair magnetic fields above)
Amazingly, recent galaxy-cluster mapping has shown geometry!
Microwave data gathered by the WMAP satellite indicates the Larger Universe may
be in the shape of a polyhedron with a Phi symmetry
; due to gravitational / expansive forces finding equilibrium in minimum-energy
vectors. Close packing is the full pattern implied by the supercluster geometry,
It's the most economical, space/energy conserving arrangement of equal size
spheres.
Thanks for your reply. I'm aware of the uniform background
radiation issue. I think it is fascinating that Genesis says in the beginning,
the world was without form and void, i.e., nothing. That God created the
universe out of nothing, that the universe had a beginning, an unintuitive idea
not anticipated by science, and come the 20th century, science tells us that, by
their methods, it looks to be true. Otherwise, I'm not an astronomer, I leave
scientific issues to experts.
My question is why is this topic important to your beliefs? If not Big Bang,
then what, and how does this bring us closer to knowledge of the feminine Person
of the Godhead? ...
Thanks for your reply back.. Actually I think the question is more important
then the answer.. which is why it is important to me..
The real importance to me is the discovery that the universe is alive and not a
clock; which seems to be a left over from a totally objective science. Also,
there are many things left over regarding women's connection with
Nature/Creation as separate from a God/Creator which are in need of repair on a
social level. It is a matter of creating complementary world views along a
living ethic which is not found in gasoline alley. In a view where an explosion
replaces what may perhaps be better pictured by a birth, is not the Mother
aspect of Creation also lost? I simply do not know how God created everything,
but I know I am alive in a living universe with a Mother and Father, I see
people being married and having children. I believe this same living
intelligence I see in Nature to be the source of life and all things....
Thanks again. I definitely agree, the universe is not a clock as in the old
deterministic viewpoint. You make a good point about semantics; creation could
just as easily, and perhaps better, be imagined as a birth rather than an
explosion. It wasn't really an explosion in the ordinary sense of the word. It
was an as yet not understood, difficult to imagine, Becoming. I will reflect on
your message
~*~
The entire universe is a vast living consciousness with
individualized nodes of living consciousness existing within it.
In the most simplistic terms, this cosmology describes the central sun of our
particular galaxy as a living entity—intelligent light plasma. The ‘arms’ that
extend and swirl out from that central sun are like ‘children’ of that core
awareness. These plasma extensions reach out to the periphery of the galaxy
where solid matter is formed, and this is where the ‘play’ of material creation
is acted out. These conscious extensions stretch out and form solid worlds and
living beings in infinite variety to express their own individual ‘dream’ of
creativity.

Why does Phi appear in humans?
Humans are also the consequence of the Golden Mean, from the Heavens to the DNA,
from the Sonic Resonance of the Earth to the Alphabet of the Heart,
Sacred geometry can be described as a belief system attributing a religious
or cultural value to many of the fundamental forms of space and time. According
to this belief system, the basic patterns of existence are perceived as sacred
because in contemplating them one is contemplating the origin of all things. By
studying the nature of these forms and their relationship to each other, one may
seek to gain insight into the scientific, philosophical, psychological,
aesthetic and mystical laws of the universe.
Synchronization of pulse-coupled biological oscillators #2 (Sex & ESP)
Supernature. The Natural History ~ Psi & Chi
Recent experiments appear to have revealed the possibility of the existence of quantum entanglement between spatially separated human subjects. In addition, a similar condition might exist between basins containing human neurons adhering to printed circuit boards. In both instances, preliminary data indicates what appear to be non-local correlations between brain electrical activities in the case of the human subjects and also non-local correlations between neuronal basin electrical activities, implying entanglement at the macroscopic level. If the ongoing expanded research and the analysis of same continues to support this hypothesis, it may then make it possible to simultaneously address some of the fundamental problems facing us in both physics and biology through the adoption of an interdisciplinary empirical approach based on Bell's experimental philosophy, with the goal of unifying these two fields.
Almost universally, ancient
texts and traditions say to us, in the language of their time, that we are part
of all that we see, that we are related through a Force to the events of our
world, to one another, to the processes within our bodies and the Cosmos and
beyond. In our most sacred traditions, this Force is described as all-powerful,
something that permeates all of Creation. It's not "out there" somewhere. It is
a part of ourselves as well as a part of all that we perceive.
Now Western science, beginning in about 1993, through accredited academic and
scientific institutions, has performed experiments with unexpected — and in some
cases very surprising — results, experiments demonstrating that the ancient
tenets appear to be true. In these experiments, the only way that the curious
and bizarre behavior of nature and particles in the subatomic world, the quantum
world, could be explained was if those particles were all connected through a
previouisly unrecognized Force.
So what's happening right now, in the early years of the 21st Century, is that
Western science is moving toward accepting the ancient idea of this unity field
that links all of Creation.
Some scientists are calling this field Nature's Mind. Some scientists are
calling it the Mind of God (a famous name given to it by Stephen Hawking in his
book A Brief History of Time.) Many researchers now are calling it the Quantum
Hologram.
This unity field, this Quantum Hologram, responds to the things that we do and
the way we think and feel.
Synchronicities
are those moments of "meaningful coincidence" when the boundary dissolves
between the inner and the outer. At the synchronistic moment, just like a dream,
our internal, subjective state appears, as if materialized in, as and through
the outside world. Touching the heart of our being, synchronicities are moments
in time in which there is a fissure in the fabric of what we have taken for
reality and there is a bleed through from a higher dimension outside of time.
Synchronicities are expressions of the dreamlike nature of reality, as they are
moments in time when the timeless, dreamlike nature of the universe shines forth
its radiance and openly reveals itself to us, offering us an open doorway to
lucidity.
Synchronicity was one of Jung's most profound yet least understood discoveries,
in part because it cannot be appreciated until we personally step into and
experience the synchronistic realm for ourselves. Jung's discovery of
synchronicity was in a sense the parallel in the realm of psychology to
Einstein's discovery of the law of relativity in physics. Because it is so
radically discontinuous with our conventional notions of the nature of reality,
the experience of synchronicity is so literally mind-blowing that Jung
contemplated this phenomenon for over twenty years before he published his
thinking about it. Jung's synchronistic universe was a new world view which
embraced linear causality while simultaneously transcending it. A synchronistic
universe balances and complements the mechanistic world of linear causality with
a realm that is outside of space, time and causality. In a synchronicity, two
heterogeneous world-systems, the causal and acausal, interlock and
interpenetrate each other for a moment in time, which is both an expression of
while creating in the field an aspect of our wholeness to manifest. The
synchronistic universe is beginning-less in that we are participating in its
creation right now, which is why Jung calls it "an act of creation in time.
"
To illustrate what he meant by the word synchronicity, Jung brings up an
experience he shared with a patient of his. This particular patient was very
caught in her head, and the analysis was seemingly going nowhere. She was stuck,
trapped in the self-created prison of her own mind. Jung realized there was
nothing he could do. In Jung's words, "I had to confine myself to the hope that
something unexpected and irrational would turn up, something that would burst
the intellectual retort in which she had sealed herself." She had an impressive
dream the night before, in which someone offered her a golden scarab -- a
valuable piece of jewelry. At the moment she was telling Jung the dream, there
was a tapping on the office window. Jung opened up the window and a scarabaeid
beetle, whose gold-green color closely resembles that of a golden scarab, flew
into the room. Jung caught the beetle in his hand, handed it to her and said,
"Here is your scarab.
"
The shock of recognition in the synchronistic moment in which Jung's patient
realized her dream of the previous night was being both literally and
symbolically enacted in her waking life, pierced through her resistance and
cracked her defensive shell wide open. At the moment of synchronistic
transmission, a fundamental shift in perception took place within her which
inwardly transformed her and made her receptive in a new way. From that point
on, Jung commented, "The treatment could now be continued with satisfactory
results.
"
There was no conventional, linear causal link between the patient's dream and
the beetle tapping on the window the next day. But there was clearly an
equivalence and meaningful connection between the two co-related events which
was not based on linear causality. In addition, the patient, as an active, egoic
agent in space and time, didn't cause or create the synchronicity, which was
acausal and happened of its own accord. And yet, in some mysterious way, the
beetle tapping on the window was intimately related to her.
To quote Jung, "Synchronicity is no more baffling or mysterious than the
discontinuities of physics. It is only the ingrained belief in the sovereign
power of causality that creates intellectual difficulties and makes it appear
unthinkable that causeless events exist or could ever exist. But if they do,
then we must regard them as creative acts, as the continuous creation of a
pattern that exists from all eternity, repeats itself sporadically, and is not
derivable from any known antecedents." This quote by Jung has an interesting
footnote which adds the following, "Continuous creation is to be thought of not
only as a series of successive acts of creation, but also as the eternal
presence of the one creative act.
"
Synchronicities are cystallizations in linear time of a nonlinear, acausal,
atemporal process, windows into the realm outside of time and space, a world in
which we ourselves are active participants in and of "the one creative act."
Synchronicities are both timeless and temporal, which is to say they are
possessed of a double nature with regard to time. Synchronicities can be deeply
religious and mystical experiences, expanding our sense of who we imagine we are
and transforming our intimate relationship with ourselves.
Synchronicities are expressions of the dreamlike nature of reality -- like with
Jung's patient, our night dreams can manifest in our waking life, but also in
the sense that, just like with our dreams at night, our inner process is given
shape through the seemingly outer world. In a night dream, the seemingly outer
dreamscape is synchronistically reflecting the internal psyche of the dreamer,
as the dream is not separate from the inner world but is nothing other than the
psyche within apparently externalized. There is an instantaneous correspondence
between the inner and outer worlds not because they are two separate dimensions
that are communicating faster than the speed of light, but because they are
inseparably united as one seamless, already unified, whole continuum.
Being unmediated manifestations of the dreamlike nature of reality, we can
interpret synchronicities just like we would interpret a dream. Mythologically
speaking, a scarab is an archetypal symbol which represents, as in ancient
Egypt, death/rebirth and transformation. Gold symbolically represents the
highest value. Being offered a golden scarab in both her night and waking dreams
was a form of synchronistic notarization by the archetype, highlighting its
arrival on the scene. The synchronicity was an expression of -- as well as the
doorway through which -- Jung's patient was personally enacting an archetypal
process of the renewal of consciousness. The synchronicity bore the stamp of the
excited archetype, revealing to her and making real in time that she was
actually taking part in a timeless, mythic drama of death and rebirth.
Catapulting her out of the limited frame of reference of the conceptual mind,
the synchronistic moment helped her access a deeper part of herself, as well as
re-connecting her to the universe at large in which she lived.
Synchronicities are both the vehicle through which and an expression of the fact
that we are waking up to the dreamlike nature of the universe. Being genuine
wake up calls from the awakened part of ourselves, synchronicities are
emanations of the part of ourselves that is waking up projected into time.
What I call the "deeper, dreaming Self," is the part of us that is the dreamer
of both our night and waking dreams. Being "nonlocal," which is to say not bound
by the conventional laws of space and time, as well as being multi-dimensional,
the deeper, dreaming Self can simultaneously express itself through inner
experiences such as inspirations and dreams as well as by attracting events in
the seemingly outer world so as to coagulate itself in embodied form.
The deeper, dreaming Self was simultaneously the dreamer of the golden scarab in
the patient's night dream, the inspiration for her to tell Jung the dream in
their session, the source of the beetle which was tapping on the window at
exactly the right moment, the impulse which animated Jung to open the window,
catch the beetle, offer it to his patient and say what he said, as well as the
patient's inner, revelatory experience of transformation which was the result.
Being multi-faceted and multi-channeled, the deeper, dreaming Self nonlocally
arranged all these dimensions enfolded within the field into a singular
psycho-physical experiential gestalt in which the oneness of spirit and matter
became visible.
Interestingly, the synchronicity with Jung and his patient was an experience in
which Jung himself played an active, participatory role. As the synchronistic
moment was irrupting into time, he found himself dreamed up by his patient to
pick up and play out a role in her dreaming process. At the moment of
synchronicity, Jung went from passively sitting in the audience hearing about
her process to being drafted into the act and stepping into a scene in the play
of his patient's mind. Not merely witnessing his patient's synchronicity, he
found himself spontaneously enacting it with her, playing his part and saying
his lines perfectly, as if sent by central casting. In offering her the precious
jewel of a golden scarab symbolizing death and rebirth, Jung spontaneously found
himself being an open instrument for the synchronistic universe to manifest
itself through him into materialized form and express itself in our world.
Jung and his patient were reciprocally collaborating in dreaming up their shared
synchronistic event together. They became "quantum entangled," interdependently
and inseparably merged in the co-creation of each other's synchronicity. The
synchronicity was not monopolized by Jung's patient, as it didn't solely belong
just to her. Participating in his patient's synchronicity, Jung was at the same
time just as much having a living experience in and of his own synchronicity.
Even though the synchronicity was a reflection of his patient's inner landscape,
it was simultaneously a synchronistic reflection of a deeper process taking
place within Jung, too. For Jung to be hearing a patient's dream of a golden
scarab and to have a golden scarab fly into his office was an externalized,
synchronistic reflection of the archetypal process of death and rebirth which
was happening inside of him. It is noteworthy that a synchronistic event can
collectively reflect and be mutually shared by more than one person in both
similar and singularly unique ways.
To experience a synchronistic event is to necessarily be changed at our core. No
one could have convinced Jung's patient that her synchronistic experience should
be dismissed as a mere coincidence, as she had an inner knowing of its
meaningfulness due to how it transformed her. She no longer lived in a dis-enchanted
universe.
Synchronicities by their very nature demand our active participation, as they
are not something we can just passively watch and remain unaffected by. Imbued
with a deeper fragrance of meaning, a synchronistic event is a revelation which
contains within it a potency to insinuate itself into our very being and alter
us from within. Synchronicities can transform us on a cellular level, as they
are crystallizations into and out of the space of consciousness itself that have
form-ulated themselves into our dimension as an expression of the part of us
that is already awakened. Synchronicities' inherent revelatory nature is
ultimately offering us the realization that we are playing an active,
participatory and hence, co-creative role in the unfoldment of the universe.
Registering the revelation embedded in the synchronistic moment is to
necessarily have an expansion of consciousness, as the lens through which we
view, interpret and place meaning on the nature of our experience has broadened
by and through the very synchronicity itself. Because it is rich in the nutrient
of meaning, a synchronistic event affects and deepens our state of awareness and
perception, which is another way of saying that synchronicities are expressions
of consciousness itself. Just like symbols in a dream, synchronicities do not
exist objectively, separate from our own mind.
Synchronistic moments feel like grace, as they induce in us the feeling that we
are right where we are supposed to be. Being numinous, synchronicities have a
strong feeling component and emotional charge, which is both an expression of
while simultaneously flowing into, influencing and altering the surrounding
field of consciousness. A manifestation of the field as a whole, synchronicities
are a field phenomenon, and to receive their full blessing we need to relate to
them as such.
Synchronicities are a reflection of the deeper, underlying nonlocal field of
consciousness waking up to itself through us. The gift of synchronicity cannot
be realized from the point of view which imagines we exist as a separate person
who is "other" than the field in which we are arising. Jung and his patient's
shared synchronistic event was a living experience of being connected to
something greater than themselves. Synchronicities are acute outbreaks of the
archetypal, collective mind-field crystallized into our personal sphere through
the third-dimensional medium of time and space.
Synchronicities are glimpses of transcendental unity, what in Latin is called
the "unus mundus," the one world. The unus mundus is the unitary and unifying
realm which underlies, pervades and contains all dimensions of our experience.
The unus mundus, just like the deeper, dreaming Self, is a psycho-physical
reality, a universe beyond time and outside of space in which psyche and matter
are inseparably co-joined as interconnected parts of a deeper, unified field.
The unus mundus is a world in which we have already woken up. It is a realm
beyond duality, beyond the opposites, beyond even the concept of beyond. In the
unus mundus, opposites like matter and psyche form the outer and inner aspects
of the same transcendental reality. Revealing its designs through events in the
outer world as well as the psychic landscape within, the unus mundus is
actualizing itself in time as we divine our wholeness through the synchronistic
clues encoded within the fabric of experience itself.
Paradoxically, synchronicities are a living, unmediated materialization of our
unconscious, while simultaneously being a nonlocalized manifestation of the part
of us that's waking up into a more expanded consciousness. Like a genuine
symbol, synchronicities are utterances of the soul, as they contain, are an
expression of and unite the opposites. Synchronicities are soul-making in
action.
ARCHETYPES
Synchronicities occur when we step out of the personal dimension of our
experience and access what is called the archetypal dimension of experience. If
we are absorbed in and identified with the person-alistic perspective, we
person-alize our experience, imagining we exist as a separate person isolated
from the space around us. We thus become entranced into a particularized point
of view which develops a seemingly autonomous life of its own and becomes a
self-reinforcing feedback loop, a true "self" fulfilling prophecy. To become
identified with the fixed reference point of the separate self limits our
freedom, entraps our creative potency and hinders our compassion. To the extent
we recognize the dreamlike nature of our situation, however, we step out of a
person-alistic and reductive viewpoint based on linear causality (i.e., the
perspective of the illusory skin-encapsulated ego) into a more archetypal
perspective in which we find ourselves playing roles in an eternal, mythic and
divine drama of incarnation.
The synchronicity with Jung's patient was revealing something not just about her
inner, personal process, but was a revelation of a deep, archetypal process
which exists within the collective unconscious itself. The synchronicity was
simultaneously revealing a dynamic which is both personal and collective -- it
is at the moment of being truly deadlocked that a deeper archetypal dynamic
within the psyche becomes activated and nonlocally expresses itself
synchronistically in and through the canvas of the seemingly outer world, as
well as within ourselves. To quote Jung, "The patient with the scarab found
herself in an 'impossible' situation because the treatment had got stuck and
there seemed to be no way out of the impasse...It is this kind of situation that
constellates the archetype with the greatest regularity." What is true
individually is also true collectively -- when we, as a species, find ourselves
in an "impossible" situation with no exit plan, it is this very kind of dilemma
which constellates the healing and revelatory archetypal realm to become
synchronistically activated.
Though it sounds like a big, fancy word, an "archetype" is something we all
experience and know intimately from the inside. Indefinable, an archetype is
like a psychological instinct or informational field of influence which patterns
our psyche, our experience of the world around us and how we experience
ourselves. Jung calls archetypes "typical modes of apprehension." An archetype
is like the underlying grid-line or blue print which in-forms and structures how
we perceive, interpret and respond to our experience.
The personal dimension literalizes our experiences, while the archetypal
dimension symbolizes, mythologizes and dreams into our experiences with the
utmost creative imagination. Archetypes are the image-making factor in the
psyche, informing and giving shape to the images in our mind and the dreams of
our soul, and as such, they insist on being approached imaginatively.
When an archetype gets activated within us, it nonlocally constellates itself
outwardly in the surrounding field. Conversely, when an archetype is activated
in the seemingly outer field, it simultaneously constellates and is a
synchronistic reflection of the same activated archetype within ourselves. An
activated archetype's magnetic field-of-force orders and organizes the entire
field to synchronistically re-arrange itself so as to embody the archetype "in
form." The archetype is thus pure inform-ation. Archetypes nonlocally exert
their in-forming influence through the frictionless and super-fluid medium of
the collective unconscious itself. The archetypal, synchronistic realm vaporizes
illusory boundaries -- revealing spirit -- and builds bridges which mediate and
connect the inner and the outer, the conscious and the unconscious, and dreaming
and waking.
Synchronicities occur at times of deep archetypal excitation in the field, which
is to say moments of crisis, transition, creative tension and dynamic intensity.
The archetype that gets activated by the field precipitates itself into the
field as a synchronistic expression of the very field which activated it.
Periods of disturbance in our world are both a manifestation of and trigger for
a corresponding archetype in the collective unconscious of humanity to draw to
itself everything it needs to synchronistically render itself visible in form.
Times of distress, both individually and collectively, catalyze a deeper,
self-regulating and healing archetypal process to awaken within the human psyche
which simultaneously expresses itself throughout the whole universe.
There is a profound and intimate synchronistic correlation between what is
happening deep within the collective unconscious of humanity and what is playing
out collectively on the world stage. Just like a dream, whatever we are
unconscious of gets dreamed up and out-pictured in and as our waking dreamscape.
What plays out in one person's night dream is a reflection of their inner
process; similarly what is getting dreamed up by all six and a half billion of
us on the world stage is a reflection of a process going on deep inside of the
collective unconscious of humanity.
When a formless archetype of the collective unconscious is at the point of
becoming conscious and incarnating, it has an energetic charge that will seize
people, get them in its grip and compel them to act itself out so as to give
shape and form to itself. What we are unconscious of and don't remember, we act
out in the outside world.
Like the underlying, invisible axial system is the skeleton of an emerging
crystal, the archetypes of the collective unconscious in-form, pattern and
structure our unconscious itself. The inner archetypal dimension is revealing
itself by influencing and animating our unconscious, causing us to act out and
give shape to the archetypal realm in the world theater. This is happening both
individually and collectively on the world stage.
Archetypes can possess individuals or whole nations. Archetypes bedazzle
consciousness in such a way that it becomes blind to its own assumed standpoint.
When an archetype takes over a person, group or nation, they can be said to be
the incarnation or the revelation of the formless, transpersonal archetype in
human form, as they synchronistically em-body and mirror back to us this
archetypal dynamic which exists deep inside of all of us. When the archetypal
realm incarnates, something of the eternal, imperishable dimension
synchronistically reveals itself to us as it enters the realm of time and
embodiment. Synchronicities are revelations in the nick of time. As our present
moment in time indicates, whether we continue to destroy ourselves or wake
ourselves up depends upon whether or not we recognize what is synchronistically
being revealed to us.
What we don't remember, we aren't associated with. Our dis-memberment from our
experience and dis-association from a part of ourselves polarizes and empowers
our split-off part to project itself outside of ourselves and express itself by
acting itself out in the outside world. We will either become possessed by our
split-off part and unconsciously act it out in the world, or we will project it
out so that we dream up the seemingly outer universe to act it out for us. This
is another way of saying that our waking universe is a function of our
consciousness, or lack thereof.
When an archetype synchronistically manifests itself in full-bodied form in the
outside world, its full blown localized revelation in time is necessarily
correlated to -- and an unmediated manifestation of -- a more fundamental,
nonlocal condition which simultaneously exists both outside of time and inside
the timeless part of ourselves. An archetype synchronistically revealing itself
in the outside world is a reflection that this same condition is in the process
of being inwardly realized. The outer, synchronistic materialization of the
inner, archetypal process is itself the vehicle through which the archetypal
process both actualizes itself in space and time and is inwardly realized.
The spirit that animates synchronicities, if we can speak of such immaterial
matters, is the same spirit which inspires our dreams at night. This spirit, the
aforementioned "unus mundus" or "deeper, dreaming Self," is dreaming our dreams
at night, our life during the day, as well as ourselves. The unus mundus/deeper,
dreaming Self arranges situations in our life, both micro and macrocosmically as
a way of synchronizing itself, which propels us into greater alignment with the
implicate field of open possibility, as we refine and re-find ourselves in each
moment anew. To the extent we realize the dreamlike nature of reality, the
universe becomes a continually unfolding oracle as we become a revelation to
ourselves.
In a synchronicity, the conjunction of two cosmic principles, namely psyche and
matter, takes place, and in the process a real exchange of attributes occurs as
well. In such situations the psyche behaves as if it were material and matter
behaves as if it were an expression of the psyche. Synchronicities are
emanations of the sacred marriage in alchemy, where the opposites of spirit and
matter reciprocally inform each other as they unite in a timeless embrace.
Instead of orienting ourselves one-sidedly just to the spiritual to the
exclusion of matter, or material matters disconnected from spirit, Jung felt
that the psychological/spiritual task of our unique time in history is to live
and incarnate the realization of the unity of spirit and matter which
synchronistic events are revealing to us. Instead of, or in addition to the
spirit coming down from the heavens above, spirit's guidance is emerging and
rising up from within matter itself and is waiting to be recognized.
Subjectively, synchronistic phenomena evoke in us the feeling that we are not
alone, that there is a silent partner that we share our lives with who is
dreaming with us. It is as if there is an autonomous factor deep within us
arranging our experiences so as to help us to wake up. Part and parcel of a
synchronistic event's numinosity is its sense of meeting the "wholly other,"
whether it be within ourselves or through the medium of the outside world.
Paradoxically, through synchronicities we connect with ourselves by becoming
introduced to the part of ourselves which is other than who we imagine ourselves
to be.
Recognizing the synchronistic matrix which patterns our experience empowers us
to be creative, co-operative and active partners in our own awakening process.
The more we are open for synchronicities to happen, the more they happen, for
synchronicities, just like symbols in a dream, are not separate from the
dreamer, which in this case is us. To the extent we recognize the dreamlike
nature of our waking universe is the degree to which our life is experienced as
synchronistic. Once we become lucid in our waking dream and recognize that we
live in a synchronistic universe by our very nature, the universe has no choice
but to shape-shift and reflect back our realization by materializing itself
synchronistically.
Being initiatory rites of passage, synchronicities empower us to view life
synchronistically. Seeing through synchronistic eyes has nothing to do with
overlaying a fabricated interpretation upon events to make them appear as if
they are synchronistic. Seeing synchronistically simply involves recognizing the
underlying synchronistic web which is always weaving itself through our
experience. This is analogous to how being inside of a night dream and viewing
the dream as if it were a dream would have the instantaneous effect of allowing
the dream to more profoundly manifest its dreamlike nature. Changing our
perspective within the dream didn't cause the dream to become a dream; the dream
had always been a dream, we just hadn't recognized it before. Similarly, we live
in a synchronistic universe, and by recognizing this, we allow the universe to
manifest itself more synchronistically.
Synchronicities are like "cultures" from another dimension which create and
enrich culture in ours. Like a bug in the system, synchronicities are cultures
which virally propagate themselves through the field of consciousness, which
means that synchronistic awareness is contagious. Synchronistic awareness, the
consciousness that recognizes the synchronistic nature of the universe and has
become lucid in the dream of life, is something we can turn each other onto and
catch from one another. Synchronistic awareness is the invocation and revelation
of the "eternal presence of the one creative act" in which we are all
continually sharing, partaking and participating. Synchronistic awareness
activates and reproduces itself in and through the field, as it is
self-generating in nature, which is to say it is birthing itself through our
consciousness into the world.
Just like Jung, we can help each other catch the "bug" of synchronicity. We can
co-operatively cultivate a net-work of allies who creatively collaborate in
bringing forth the precious jewel of synchronicity. The archetypal field becomes
greatly potentiated for synchronicities when we get "in sync" with other people
who are also waking up to the synchronistic universe. A field which is
lubricated for stimulating and stabilizing lucidity gets conjured up when we get
in phase with each other through the shared, open heart of synchronistic
awareness. Co-operatively engaged, synchronistic awareness activates our
collective genius and creates true culture in that it effortlessly, endlessly,
nonlocally and virally transmits and fractally reiterates itself throughout time
and space. Shared synchronistic awareness magnetically draws and attracts the
universe into itself, materializing itself in, as and through life itself,
creating a revelatory universe in the process.
Higher consciousness is a
frequency of mind, not a higher electrical brainwave activity. However, both
consciousness and electric energy do resonate within the same universal magnetic
field. This primal, carrier field is the fabric of the universe. Higher
energies, in the form of etheric or life energy, also resonate in the Field just
as electrical energy does. Furthermore, mental energies resonate in the Field
and emotional energies resonate in the Field. The Field is the underlying link
that allows all actions to play out in the universe. It is the reason that the
universe is a connected wholeness rather than a collection of isolated people
and objects.
Full "What the Bleep" Movie page (click here) .. and... 'What dreams may come'
Celestine Prophecy
Please watch these entire films on u-tube.
Following up on the groundbreaking work of Masaru Emoto, Sereda exposed water to the sounds of the sun, and the water crystals changed to a beatific shape. A subject drank restructured water and their blood cells showed a healthy response, and prayer/intention directed at water can beneficially alter its structure, he detailed. Such water must be drank right away as the restructuring may be temporary, he added.
Could water itself be a kind of memory system, actually containing the Akashic Records?
Sereda pondered. He noted in addition to healing, structured water could potentially be useful in exploring nuclear fusion, reclaiming polluted areas, and developing "super sensors" - instantaneous signals that can be sent out into the galaxy.
Revolutionary New Discoveries About Water!
You can now apply this same view to other interactions in your life.
Understanding the energy dynamics in your life is key to the full awakening of
your etheric self in this world. We all can help our world by incorporating
energy and living more vibrationally~!.

Begin to see, as never before, the wonderfully patterned beauty of Creation. You may see true artistry, far above any human contrivance. This indeed is the very source of art. By contact with it your aesthetic senses are heightened and set upon the firm basis of truth. The journey to explore more about the holy grail of nature’s design will certainly be very exciting
I am whatever is. Whatever is, I am. I am whatever is visible. Whatever is
visible, I am. I am whatever is invisible, Whatever is invisible, I am. I am
whatever is alive, Whatever is alive, I am. I am whatever moves and breathes.
Whatever moves and brethes, I am. I am the very spirit of life. The very spirit
of life, I am. Everything that exists in time is part of me. I am everything
that exists. ~Invocation to Lakshmi, India
Some of the modern theories about the birth of the universe would agree with
this point of view. The modern concept accepted by most physicists is the
universe is a hologram within some vast intelligence. It doesn't take much of a
leap to believe that Intelligence is the Creator as expressed through the Father
and Mother.
THE SECOND VERSE IN GENESIS ( IN THE HEBREW) USES THE WORD
SPIRIT (MOVED)--
BROODED OVER (AS A MOTHER BIRD) THE DEEP.
The Spirit of God moved--literally, continued brooding over it, as a fowl does,
when hatching eggs. The immediate agency of the Spirit, combined, arranged, and
ripened them into a state adapted for being the scene of a new creation. The
account of this new creation properly begins at the end of this second verse;
and the details of the process are described in the natural way an onlooker
would have done, who beheld the changes that successively took place.
If the seven days of Genesis are viewed as
axioms or laws of physics they are quite amazingly accurate.
Maybe even,
Including the fact that life precedes the heavenly bodies; and yet the usage of the
words "let the waters and earth bring forth" occur after the
astrophysics.
Gen 1:3 And God said, Let there be light: and there was light. ((C)
RELATIVITY / THE FUNDAMENTAL CONSTANT)
Gen 1:7 And God made the firmament, and divided the waters which were under the
firmament from the waters which were above the firmament: and it was so.
(DYNAMIC SPACE/TIME)
Gen 1:9 And God said, Let the waters under the heaven be gathered together unto
one place, and let the dry land appear: and it was so. (GRAVITY AND MASS)
Gen 1:11 And God said, Let the earth bring forth grass, the herb yielding seed,
and the fruit tree yielding fruit after his kind, whose seed is in itself, upon
the earth: and it was so.(ORGANIC CHEMISTRY AND QUANTUM BIOLOGY)
Gen 1:14 And God said, Let there be lights in the firmament of the heaven to
divide the day from the night; and let them be for signs, and for seasons, and
for days, and years: (ASTROPHYSICS)
Gen 1:20 And God said, Let the waters bring forth abundantly the moving creature
that hath life, and fowl that may fly above the earth in the open firmament of
heaven. (SEA LIFE AND AVIATORS)
Gen 1:24 And God said, Let the earth bring forth the living creature after his
kind, cattle, and creeping thing, and beast of the earth after his kind: and it
was so. (ZOOLOGY)
Gen 1:26 And God said, Let us make man in our image, after our likeness: (HIGHER
CONSCIOUSNESS)
The erroneous definition of God is the most malevolent and powerful manipulation of consciousness. This false inheritance has entrenched within the psyche the archetypal duality, creating conflict on the deepest strata of Human behavioural reference and resulting in deep wounds of separation, spiritual abandonment and betrayal.
To believe a theory is a leap of faith. Under the best of circumstances, they
will be revised or encompassed some day. Nevertheless, they are the best truth
of our time. This shift in emotional frame of reference not only increases our
chances of being right by being original-it can be a path to spiritual
fulfillment. The modern cosmologists' quest for the initial conditions, the
composition, and the evolutionary history of the universe is the profoundly
spiritual endeavor to know the universe as it truly is.
We need to reconstruct Christian philosophy upon the original mythic and mystic
symbols (Archetypes ) of the first century Christian church; most especially to
include the feminine aspects of God and Creation through the Sprit and the
Bride. We would then find other ways to model reality in communion and
continuum; and discover a ‘complementary principle’ of mind and matter, creator
and creation, possible.
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look for ALL the following
rhythmic biological cycles
environmental rhythm
self assembly
pulse cycles
biological clocks and reproduction
symmetry
Phi
dynamics
commutative information
synergy
parity
cybernetics
homostasis
symbiosis
super nature
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