
As Above, So Below
- At any given moment, life is completely senseless. But viewed over a period, it seems to reveal itself as an organism existing in time, having a purpose, trending in a certain direction.
Aldous Huxley (1894-1963)
New discoveries inthe science and mathematics of Chaos research are revolutionizing ourworld view. They reveal a hidden fractal order underlying all seeminglychaotic events. The fractals are intricate and beautiful. They repeatbasic patterns, but with an infinity of variations and forms. The world-viewemerging from this scientific research is new, and yet at the same timeancient. With a little thought, and the help of this web, you can betterunderstand the significance of Chaos and Fractals. You can see how touse these insights in your life to create a bridge between Science andSpirituality.
It is possible toapply this new knowledge to better understand your life, to live autonomously,based on freedom, and your own contact with the Source of the Universe,the Infinite. The revolutionary new Fractal mind-set discovered by scientistsand mathematicians can help you to see the beauty and meaning that bordersall chaos. These fractals are in space, as shown by the graphics onthese webs, and in time, as shown in all life, including your own. We areborn and die, we wake up and fall asleep, the sun rises and sets, we breathein and out. There are basic patterns and structure to time and space thatprovide a unifying coherence. As the mystic sages of long ago put it, "asabove, so below."
This web will explainsome of the science and math of Chaos. It will also suggest how youcan apply this new knowledge to fashion your own philosophy of life. A philosophy that will help you to cope with and understand disorder, to realize the underlying fractal structure behind the near infinite, andoften baffling variety of life experiences.
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The Ultimate Paradigm Shift: an introduction to the meaning of the new discoveries in the Science of Chaos. Provides a historical perspective.
The Story of Benoit B. Mandelbrot and the Geometry of Chaos: an overview of the life story and key discoveries of the mathematician who started the Science of Chaos.
The Mathematics of Chaos: an introduction of the basic math behind Chaos and the Mandelbrot set. Simple, yet accurate.
The Four Chaos Attractors: describes the four forces in the Universe which bring order out of chaos.
Law and Disorder: A Lawyer's View of Chaos Theories: overview of the new Science of Chaos, placing the Chaos laws in context with other laws of Man and the Universe. Chapter 6 Laws of Wisdom.
The Origin and Structure of the Universe - a Fractal Theory. Adaptation of Chapter 7 "Laws of Evolution of Consciousness " from the book, Laws of Wisdom.
The Significance of Number and Geometry. Short summary of the ancient Pythagorean insight of the spiritual significance of number.
The Dimensions : describes the five dimensions.
Zero Dimension First Dimension Second Dimension Third Dimension Fourth Dimension Fractal Dimension"Consciousness Exercises":
Visualization of Dimensions Meditation on the Hypercube Through Infinity To Unity: the Fractal Connectivity of Consciousness; essay by School of Wisdom meditation teacher, Chip Weston
Mandelbrot zoom color animation : shows fractal recursiveness over scales of magnitude.
A newkind of inner Fractal Music : information and free music downloads of PrimaSounds.
The rapidly acceleratingdiscoveries of Chaos are overtaking our worldview. They teach us that Newton,and indeed almost all of the pre-chaos scientists, were dead wrong in theirbasic view of the Universe. They thought that there was a predictable causeand effect for everything, and that everything happened according to fixedphysical laws. They believed in certainties, not probabilities. Their fundamental image of the Universe was a big clock. The presence of a divine being was only necessary to make the clock and wind it up. After He created the Universe, all God had to do was sit back and watch. The laws would operate in a predictable causal fashion.Old science actually usedto think that if you only knew all of the initial conditions, how the clockworked, you could predict what would happen at any point in time. Scienceassumed that everything could be known and eventually predicted. The Universewas ruled by a detailed system of unchanging laws. Cosmos and causality reignedsupreme. There was no room for chaos and so it was conveniently swept underthe rug. The inevitable outcome of the ordered machine view was the completewinding down of the clock, the end of time in complete entropy - the secondlaw of thermodynamics where everything tends to breakdown, to dissipate.This big picture of science naturally spawned the "God is dead" philosophies,nihilism, the life nausea of existentialism, behavioralism, communism andthe like. Now with the Chaos theories this paradigm is itself dead. A wholenew scientific view has been born, one much more in accord with an organicview, the common law, and philosophies of hope and spirit.
The cosmic clock image ofestablishment science first began to crumble at the turn of the century whenphysicists found that at the nuclear level the causal laws of physics didn'thold true. The behavior of the atom and individual electron could not bepredicted. Still, even in the face of incontrovertible evidence of quantumphysics, old ideas die hard. The static civil law mind set would not dieeasily. Even Einstein could not believe that God would play dice with theUniverse. He searched in vain for a unified field theory that would explainaway the chance and unpredictability so obvious in the subatomic world. Sciencestruggled to maintain its centuries old view. The belief in a causal cosmoswas now on shaky ground because it lacked a subatomic foundation. Still itprevailed because the rest of the world of physics seemed to follow linear,orderly and predictable clock like processes. Besides no one had articulateda different view to replace it. The subatomic world was considered an insignificantanomaly, an exception that proved the rule.
Then along came the Scienceof Chaos in the last part of this century to show that causality did notapply everywhere else as thought. In fact close measurements revealed thatthe unpredictable appeared in what was previously believed to be the mostordered and predictable of systems, the swinging of a simple pendulum - thevery heart of a clock. As James Gleick's book Chaos shows the braveearly explorers of Chaos found that Science had been fooling itself for centuriesby ignoring tiny deviations in its data and experiments. If a number wasslightly off what the causal laws predicted, the pre-chaos scientists simplyassumed there was an error in measurement in order to uphold the sanctityof the law itself. In order to preserve their pseudo-cosmos, scientists limitedtheir investigation to closed and artificial systems, avoiding the turbulenceof open systems like the plague.
Causality was the prime assumptionbehind all pre-chaos science and it never occurred to anyone to questionit. This conceptual bias created a blind spot of enormous proportions. Butthe reality of open systems, the Chaos lurking behind all order, would notbe denied. The charade of perfect order and fudged experimental data couldnot last forever. By the nineteen seventies it began to crumble, the conceptualblinders were falling from the eyes of more and more scientists. By the nineteeneighties the fly in the ointment, the unpredictable results in what shouldhave been perfect predictability, could no longer be denied. The Scienceof Chaos was born. Our understanding of the world will never be the same.
After nearly two decades nowof work by Chaoticians made up of the leading scientists and mathematiciansin a wide variety of fields, the evidence is overwhelming. The world is nota gigantic clock where everything happens in an ordered and predictable manner.The real world is fundamentally disordered, free. Chaos reigns over predictability.Simple, linear systems which are causal and predictable are the exceptionin the Universe, not the rule. Most of the Universe works in jumps, in anon-linear fashion that can not be exactly predicted. It is infinitely complex.Freedom and free will - the Strange Attractors - prevail over rules and determinacy.
Yet Chaos is no enemy anddestroyer of Cosmos, for from out of Chaos a higher order always appears,but this order comes spontaneously and unpredictably. It is "self-organized."The creation of the Universe is an ongoing process, not just a one time eventat the beginning. All and everything - and everyone - is part of this creativeprocess. Over time all systems - from molecules, to life, to galactic clusters- are continually creating new organizations and patterns from out of featurelessnessand chaos. The world is not a Clock, it is a Game, a Game of Chance and Choice. In the game random processes - chance and serendipity - allow room forfree will, individuality and unpredictable creativity.
The Universe is governed bylaws, but the laws are of a different kind than previously thought. Likethe common law system, the Laws of Wisdom are inherently flexible. They are not written in stone, they are general. They leave infinite room for creativity within certain general parameters. A few fundamental principals exist to establish the parameters, but the Law governs much more loosely than previously thought. The Laws are subject to changes and modifications over time and depend upon the particular facts. Like the common law, the Laws of Nature appear to have flexibility; many thingsare decided on a case by case basis. Self organization is the rule, not theexception. Everything is not pre-determined by a rigid and complex systemof detailed laws which specify exactly how everything works. There is nodetailed blueprint of the universe, just a general set of Laws.
In the words of physicistPaul Davies in his book The Cosmic Blueprint (1988):
There is no detailed blueprint,only a set of laws with an inbuilt facility for making interesting thingshappen. The universe is free to create itself as it goes along. The generalpattern of development is "predestined", but the details are not. Thus, theexistence of intelligent life at some stage is inevitable; it is, so to speak,written into the laws of nature. But man as such is far from preordained.
The image of God playing dicewith the Universe was threatening and fearful to the old scientists, eventhe great ones like Einstein, who incidently grew up in a civil law system.But that was only because they did not understand the order lurking in Chaos,the great beauty inherent in chance. For we now know that it is only throughchance that new and unpredictable relationships can be created, entitiescan self organize to further evolution and create entirely new symmetriesand coherence. With the image of the machine clock gone, the insights ofrelativity can finally be appreciated. Time is not mechanical, it dependson space. Time is flexible, essentially unpredictable from moment to moment,but this does not lead us hopelessly adrift. We can still navigate from thehidden order which appears over time, the statistics from segments of time,from iteration. The order implicit in Chaos is unpredictable on a case bycase basis, but still reliable and workable on the long run.
God's dice liberates us fromthe prison of determinism, the hopeless tedium of the cosmic clock and theinevitable death of entropy. We have instead an intelligent Universe, whereever new and evolving life forms thrive on Chaos, where negentropy createshigher order from decaying forms. The clock is not winding down as the secondlaw of thermodynamics had thought, it is ever being created anew. God isback in the picture, not just as the creator of the machine who then left- the ghost in the machine - but as the Strange Attractor, the origin ofinexplicable and unpredictable order from chance.
This is a new kind of order,a "fractal order," based on a relatively few basic structural principalsfrom which many transitory laws follow. The Laws of Wisdom we must learnfor the journey to self realization are flexible, evolving. Like thecommon law, they are articulated afresh moment by moment, case by case.The laws are stable, but they do not stand still. Exactly how the basicprincipals will apply to form governing laws all depends upon the circumstances,the consciousness involved, the entities, the case.
The free will of the individualin connection with the infinite is now primary. All is not determined, everyonehas a chance to decide their own fate. The philosophic implications of Chaosare positive and encouraging. The Universe is not a clock, its a game. Enjoyit!