Text: A Mathematics Of Historical Evolution Marko Rodin, a researcher living in Hawai'i, has discovered a pattern in our base ten decimal system which happenes to describe every natural system in the universe from an atomic to universal level. It does more than unite physics with biology and gravity with magnetism; it shows them to all be part of the same ever-unfolding process. Which is interesting. But then I looked back at the pattern and saw that, not only did this system describe both the movement of galaxies and the structure of DNA, it also describes the movement of history. As far as I know, this is the first time that a breathtakingly simple relationship between the numbers 0 through 9 has been found to be both the model of molecular bonding and the course of human sociological evolution. So we decided to share it. Marko Rodin's theory is that the relationships between numbers are real relationships which exist throughout nature, and he discovered a remarkable pattern of relationships in the numbers 0 - 9. The beginning of the pattern is that these numbers exist in bipolar pairs. We begin at the outside: 0 is in a pair with 9. Now, 0 isn't really a number, it's a place holder, a point of origin. Which means that 9 has no real polar opposite; it stands alone. (Bear with me for a moment; it sounds strange in the beginning.) We move one step inwards: 1 is the opposite of 8. Two is the opposite of 7, 3 of 6, and 4 of 5. These numbers are polar opposites. And the sum of each of these pairs is 9. These polar pairs have very interesting properties. For example, if we take any numeral and multiply it from 1 to 9, we get a series of 9 numbers beginning with the selected numeral and ending with the archetypal value of 9. For example, the first and last numbers of the multiplication series for 1 are 1 and 9; the first and last numbers for the multiplication series of 9 are 9 and 9. Nine is the common factor which crowns each series; after this, the series is repeated. Now, let us look at the series of two polar opposites. We can choose any of the pairs. Let us choose 3 and 6. The multiplication series for 3 is 3,6,9,3,6,9,3,6,9. The series for 6 is 6,3,9,6,3,9,6,3,9. If we ignored the last 9 of both series, we could say that the series for these polar numbers are opposites. However, we will not ignore the 9, and with it (and continuing the multiplication series indefinitely) we see that since both share the 9 at the same point it is less correct to say that the number series are opposites than that they are flowing in opposite directions: circles going clockwise and counterclockwise, if you will. This is true for each of the polar pairs. Nine has no polar opposite, and the value of each point on its multiplication series is 9. If we regard the two series of each pair as equivalent circles or wheels turning in opposite directions, 9 appears as a straight line with no deviations. So we see that numbers exist in polar pairs, just like yang and yin, male and female. And the union of these pairs, and the straight line between them, is the number 9. There is also another interesting pattern in numbers, a continuously doubling circuit. In religious symbolism the number 1 often represents God, the Divine Unity, which when multiplied by itself or divided by itself always equals itself. This is also the first numeral of the decimal system. However, doubled, this number is 2. Doubled again it becomes 4. Four doubled becomes 8, which when doubled becomes 16, the archetypal value of which is 7 (1 + 6 = 7). Seven doubled is 14, the archetypal value of which is 5, and 5 doubled is 10, the archetypal value of which is 1. One doubled is 2, and so on. (Another way of representing this is that 1 doubled is 2, the next number is 4, then 8, 16, 32, 64, 128, 256, 512, 1024, etc. The values of these numbers are the doubling circuit.) This repeating numerical circuit is, again,, 1,2,4,8,7,5,1 and you will note that it does not include 3,6 or 9. (Three, 6 and 9 form their own doubling circuit.) This doubling sequence has many remarkable features, but let us for the moment move on. Okay, what do we have so far? A doubling circuit, from which the numbers 3,6 and 9 are absent, and a pattern of polar numbers, from which 9 is absent. Now the magic (without any tricks) begins. Marko Rodin, while playing with numbers, placed the numbers 1 through 9, in order, at equally spaced intervals around a circle. Then, starting with 1, he formed a line to the next numeral of the doubling series, which is 2. The line continued to 4, then up to 8, then to 7, then to 5, and then back up to 1 again, where it continued to 2. This never-ending loop looks like an infinity symbol. The polar numbers are paired on opposite sides of the circle, lining up horizontally as mirror images of each other. The numbers 3,6, and 9 formed a gap which is nested in this circuit. The number 9 is at the apex and center of the 3,6,9 circuit. This symbol illustrates a fundamental pattern of the universe, represented by numbers: a continuously evolving but ever-repeating spiral containing dual and opposite patterns (which often nevertheless continue in the same direction), represented by negative (-) and positive (+). Furthermore, as the illustration suggests, nested within such patterns is a third factor: an invisible field. This field is here represented by the 3,9,6. If we look at this diagram as a whole, we see, first, that 9 is along the axis of this system. What is represented here as a triangle is, again, actually a nested field. We also see that in this diagram, if we follow the direction of the line, the outside of both halves of the spiral are moving down towards the same point, although one is going clockwise and the other counterclockwise. In other words all motion is flowing down towards a single direction, although this is being reached through the union of two opposites. We call the overlapping point in the center of the infinity symbol shape the point of origin. Okay, that's it for complicated explanations. This is a new theory, and it just happens that most people haven't recognized these relationships before. Now, the diagram we have here is what forms the basis of our grand unified field theory; we discovered that it models logarithmic growth, the basis of the music scale, the convection currents on the sun, everything. Well, everything in nature. What struck me is that the exact same pattern models the evolution of society. What this pattern suggests about history is that, first, there is continued progress. (This is the doubling circuit.) However, although there is continued progress, this progress takes place in a spiral, meaning that even though society is at a higher position than it was before, the same patterns keep emerging throughout history. Before we tried to unify our countries, and now we're trying to unify the world; before the Jews had Abraham, and later they had Moses; that kind of thing. This is a principle coded in our decimal system. Next, history evolves through the interaction of two opposites, or two parts of one whole, which appear to be moving in opposite directions but actually, through their interaction, carry humanity forward in one direction. This could mean many things. It could refer to men and women both contributing equally to humanity but having done so using different means. It could refer to Hegel's dialectic of history, which states that in human society there is a thesis and antithesis. According to Hegel's theory, every society has a thesis, or driving force, and this force creates an opposition to itself, which is the antithesis. Eventually these two forces clash, and from them a new force, or thesis, emerges, which once again creates a new antithesis. Through this process society continues to evolve. This is one of the theories which Marx modeled his socialism on. Within this system we have a field. In our field theory we had referred to this as magnetism, etc., but in this model it seems to suggest that there is a common invisible force which permeates all of the society, existing equally in both halves of the whole. And this force centers around the 9, which is at the axis of the entire system and has no opposite except for the point of origin. Since we're on sociology, we can perhaps consider the force to be a universal paradigm or the Holy Spirit of God intermingling with humanity, depending on our perspective. The axis could refer to a conceptualized model of the universe, perhaps a religion, or perhaps the Founder of a religion, what the west refers to as Prophets and part of the east as Avatars. So here is the summary. Civilization evolves continuously, following a logarithm similar to that of biological growth, and certain historical themes are repeated at continually more advanced levels. Human civilization has two seemingly contradictory forces which simultaneously propel the society forward. Perhaps these forces are decay and regeneration, science and religion, reward and punishment, mercy and justice, male and female, tradition and innovation, calibration and feedback, birth and death, fear and love, economics and spirituality, or something different such as thesis and antithesis, law and technology, the individual and society, unity and diversification, or humility and sovereignty. Additionally, an invisible force permeates the entire civilization and (it would seem) holds it together. For argument's sake let's call this force love. This force itself pivots around a central point, and this point is also on the axis about which all the movement of the civilization revolves. For the sake of our continued argument I will toss out the idea that this point is the Prophet of God, such as Jesus or Muhammad; Marx would have said it is economics, and others would say it is genetic predisposition. When the polar forces are harmonized they mirror the attributes of the axial point. And this entire pattern is our decimal system. It also, if our theory is right, is the same pattern which models the laws of our physical universe. So, that's a brief mathematical diagram of the forces of history, with the details left out. The Spiral And Toroid In Religious Thought Marko Rodin has developed a theory showing the mathematical relationships which nature reflects. Fundamental to these are the toroid and the spirals which it is composed of. the toroid, or spherical vortex (what scientists call a vortex ring) is not only the form of a smoke ring and countless other patterns of motion. It, and the spiral, are also recurring themes of religious symbolism. The center of the toroid is the Absolute, the Primal Point, the Concealed Treasure, the Hidden Truth. It is the Word "Be" manifested through increasing windings throughout the universe, the Source from which all potentialities arise. As you spiral through the successive stages of the universe of God's revelation, you come closer to convergence with the Essence from which you arose. The Point of Unity is both the Center from which you unfold and the conclusion to which you journey; in and out, you reach the Source. And, through the successive windings of the eternal spiral, you remain always on the same thread. The Tree of Life represents the successive manifestations of the spirit of God. This symbol is used in many places, among them The Epic of the Kings, The Mahabharata, and the Bible. I is an emanation without deviation. The universe is created through its vibration on the face of the waters. The serpent of wisdom coils around it, leading to divine knowledge or to Maya, the coils of illusion. In Indian Mythology the Nagas, serpents who embody the energy of earth and waters, coil around the sacred pearl of divine knowledge. Following the plan of Vishnu, the gods and demons preserved cosmic order by tugging in opposite directions on Sesha, the serpent wound around the world axis (Mount Madara, or Mandara; precisely, this churning of the ocean was between the Asuras, ancient dark gods, and the devas, or mortal gods of heaven). By this cooperation of opposing forces the milk sea produced the nectar of immortality. This theme of spirals runs throughout religious mysticism and various myths. Buddha is often conveyed with his hair as a series of balanced curls, demonstrating his inner tranquillity. Conversely, Madusa's hair is in the form of snakes and shows the decay of the spiritual. Christ has been depicted by Christians as crowning the Axis Mundi, the vertical connection between earth and heaven, surrounding which spiral the coils of manifestation. The Navajos use opposing serpents in their sand paintings, healing through a union of conflicts and path to the center. Many peoples, among them the Maoris of New Zealand, have tattooed themselves to control the flowing of their internal energy vortices. The Hindu god Siva dances to destroy the world and lead to its rebirth; the Dervishes dance in a contraction which becomes the expansion of the mortal mirroring the ecstasy of the Divine. The Hopis give the name "Mother Earth" to a representation of a labyrinth; mandalas are used for centering through the levels of consciousness by meditators; the Egyptian pharaoh's third eye was the mastered serpent force. The spiral is the journey of the soul, as portrayed in Dante's Divine comedy or John Bunyan's description of the spiraling path from the City of Destruction to the Celestial City. And always these spirals coil from the Indivisible Source; such as the transcendent point OM unfolding as the spiraling of Sakti, creating a path which the Yogi winds up to realize heaven. Islamic Arabesque is a visual description of the Name of God, showing the creation of the universe through the contraction and expansion of a single breath. Whether or not we consider any of these particular traditions valid, it is clear that this theme, of spirals around a central axis, has played a major role in religious thought for as far back as our collective memory reaches. Another source of symbolism has been letters. The Hebrew, Sanskrit and Arabic letters were considered attributes of God. They conveyed the modeling of man, the universe, and all systems between. These letters correspond to numbers. And so mathematics and sound are the essence of the world. The New Model: A Reconciliation Of The Sciences A template for the universe exists. And it was with us all along, used by us every day, without us ever realizing what it was. It is so simple, and yet it describes everything. It is the decimal system. Religion. Gravity. Magnetism. they are all described by the relationships of the numbers 0 through 9. Marko Rodin, a researcher living in Hawai'i, has made this claim. And so far everything we know about science supports it. What follows are the fundamentals of this theory; the mathematical principles which nature mirrors. We have a huge body of mathematics based on approximations of reality, with the simple principles underlying even the common observations not understood, when all this time we have had an explicit description of the universe in our base ten decimal system. I'm not sure whether it's more incredible that the answer is right here in front of us, or if it's more incredible that we could have so utterly missed it. Right now science deals in approximations. Our numbers approximate reality, and because of this we have to make corrections and use cumbersome formulas. In fact, every four years there is a gathering of scientists who recalculate the constants and carry them out further. The relationships between numbers are not random or haphazard, and they are reflected in biology, physics, and every other aspect of our physical world which science has begun to explore. Two numeric systems are coupled in the decimal system. Like all things, numbers unfold from a center our. They begin with the number 1. The first series is composed of the numbers 1,2,4,8,7,5, and forms an infinitely repeating doubling circuit. These numbers can recreate themselves, and we see their relationships in matter. the 3,9,6 circuit is inside of this circuit, impelling it forward. This nested circuit is responsible for the motion of the first circuit. It is a field. The Doubling Circuit Marko Rodin's theory states that, although a number may have several digits, it corresponds to only one location, or one point. Therefore numbers may be described according to their archetypal values (e.g., 71 = 8 ). The instant we look at numbers this way, the patterns which compose the decimal system are revealed. For instance, the doubling circuit. If we start at 1, and double it, we get 2. Keep doubling, and we get 4, then 8, 16, 32, 64, 128, 256, 512, 1924, etc. These numbers expand infinitely. But if we look at the values of these numbers, we see that no matter how far we rise, we are merely repeating the same numerical series, over and over again; 1,2,4,8,7,5 and back to 1. this series does not include 3, 6, 9. A primary feature of nature's system is a coil, what we represent numerically as a doubling circuit. And this coil is composed of polarities. Bipolarity Everything in nature demonstrates a harmony of bipolarities. Male and female, negative charge and positive charge, yin and yang. This is also true for numbers. The numbers 0 through 4 reflect 5 through 9. Four and 5 are polar opposites, as are 3 and 6, 2 and 7, and 1 and 8. Zero is an empty space, a place holder, and it is opposite 9. The symmetry of our decimal system is a principle of nature. DNA, for example, is a series of two repeating coils, and wrapped within these coils is a magnetic field. There are many indications that the polar numbers really are reflections of each other. One way is to look at their multiplication series. If we take any numeral and multiply it from 1 to 9, we get a series of 9 numbers beginning with the selected numeral and ending with the archetypal value of 9. For example, the first and last numbers of the multiplication series for 1 are 1 and 9; the first and last numbers for the multiplication series of 9 are 9 and 9. Nine is the common factor which crowns each series; after this, the series is repeated. Now, let us look at the series of two polar opposites. We can choose any of them; 1 and 8, 2 and 7, 4 and 5, or 3 and 6. Let us choose 3 and 6. The multiplication series for 3 is 3,6,9,3,6,9,3,6,9. The series for 6 is 6,3,9,6,3,9,6,3,9. If we ignore the last 9 of both series, we could say that the series for these polar numbers are opposites. However, we will not ignore the 9, and with it (and continuing the multiplication series infinitely) we see that since both share the 9 at the same point it is less correct to say that the number series are opposites than that they are flowing in opposite directions - circles going clockwise and counterclockwise, if you will. This is true for each of the polar pairs. Nine has no polar opposite, and the value of each point on its multiplication series is 9. If we regard the two series of each pair as equivalent circles or wheels turning in opposite directions, 9 appears as a straight line with no deviations. A Key To Numbers How are numbers related to each other? How is matter related to numbers? How is magnetism related to gravity? All of these questions seem answered by an extremely simple diagram. This is the essence of Marko Rodin's theory. Take a circle, and space the numbers 1 through 9 evenly around it, in order. Begin with 1, and form a line following the doubling circuit - from 1 to 2, form 2 to 4, to 8, to 7, to 5, and back to 1. The resulting never-ending loop looks like an infinity symbol. The polar numbers are paired on opposite sides of the circle, lining up horizontally as mirror images of each other. The number 9 is at the apex and center of the 3, 9,6 circuit. It is the assertion of this theory, illustrated by this symbol, that a fundamental patter of the universe, represented by numbers, is a continuously evolving but ever-repeating spiral containing dual and opposite patterns (which often nevertheless continue in the same direction), represented by negative (-) and positive (+). Furthermore, as the illustration suggests, nested within such patterns is a third factor - an invisible field. This field is here represented by the 3,9,6. In this symbol, the current pivots around the axis; in other words, there is no base to the triangle. When 9 is negative the 3 and 6 are positive, and vice versa. When the 9 is positive energy is flowing towards the 3 and 6, and when it is negative current is flowing towards 9. If we look at this diagram as a whole, we see, first, that 9 is along the axis of this system. What is represented here as a triangle is, again, actually a nested field. We also see that in this diagram, if we follow the direction of the line, the outside of both halves of the spiral are moving down towards the same direction, although one is going clockwise and the other counterclockwise. In other words all motion is flowing down towards a single direction, although this is being reached through the union of two opposites. We call the overlapping point in the center of the infinity symbol shape the point of origin. Let's repeat this. The relationships between numbers are real. The music scale follows a doubling pattern. Squares and square roots follow a doubling pattern. This logarithm is the pattern of growth. And numbers themselves are polar - except for 9. Each polar number pair - for example, 2 and 7 - equals 9. There is perfect symmetry wrapped around a single point, coiling outwards the way that petals are wrapped in a rose, or a nautilus shell spirals outward. And the fact that growth takes place in outward spirals following recurring doubling patterns is not an accident. Nothing moves in straight lines; all movement curves. This is because nature follows the same pattern as numbers. And as all numbers revolve around the 9 which is itself one third of a repeating sequence, it is our assertion that there is a constant energy emanation from all centers of mass. This emanation is in a time sequence of thirds. Others, looking for this radiation, have called it tachyons or solitons. We call this emanation aetheron flow. In all the universe, only aetherons move in a truly straight line. All mass warps around the aetherons, and all other movement curves around the aetheron flow. There is an aetheron emission form the center of all atomic nuclei, and it is this emanation which is responsible for electron spin. It is also responsible for the diagonal or diamond grain of interconnected matter; molecules are not attached in squares, but in diagonals, such as the hexagon of a snowflake or the grain of crystals. This aetheron flow is responsible for motion. It is the cause of the non-decaying spin of the electron. Just as it is in a tornado or a whirlpool, the center of mass for all objects, from which the linear emanations come, is an empty space. The Earth, its magnetic fields, atoms' nuclei, all of these are toroids. You can never go through the exact center of anything; there is always a deflection because of the aetheron emanation. The aether emanations are the source of all movement. They create a negative draft counterspace, which is gravity. And to the action of the aetheron emanation there is a reaction of two parts; when the emanation is positive this reaction is negative, and when it is negative this reaction is positive. In terms of numbers, if there is a positive 9 the 3 and 6 are negative, and if there is a negative 9 the 3 and 6 are positive. A negative 3 and 6 is negative magnetism (inward), and a positive 3 and 6 is positive magnetism (outward). Because of the aetheron flow, these vortices are present in the gap spaces between bound matter; when molecules are arranged in a lattice pattern which aligns and is in harmony with these vortices, the result is a magnetic object. Phasing There are three family number groups - the 3,6,9 group, and the two polar components of the doubling circuit - 1,2,4 and 8,7,5. The universe is phased in thirds. This is because the aetheron emissions are phased in thirds; one emanation, and two reactions. We see this timing in the circuit key. At both sides of the doubling circuit there are tree steps (1,2,4 and 8,7,5). Then the circuit goes through the center point, and there is a reversal. As soon as you go through the axis there is a reversal in direction. There is horizontal symmetry, not vertical, because the 9 does not bend, it goes only forward. It is a monopole radiation; it is one. And all duality has this singularity related to it. For example, the duality of yin and yang is actually trinary, the S curve wraps between both halves. The 9 corresponds to the center of mass, from which the monopole emerges. Everything is based on thirds. We think the universe is based on duality's because we see the effects and not the cause. There are three family number groups, which we have already looked, and they are phased in thirds--again, based on the phasing of the 9, representing the aetheron flow. The first number group of 1,4,7. And 1 + 3 =4 +3 =7. The second family number group is 2,5,8. And 2 + 3 =5 +3 =8. Three is forward motion, and 6 is backward motion. 7 + 6 =4 + 6 =1 (7 + 6 =13=4 + 6 =10=1), 8 + 6 =5 + 6 =2. Two numeric series are coupled in the decimal system. 1,2,4,5,7,8 can recreate themselves and are the properties of matter. The 3,9,6 series is within but apart from the previous series, and propels it forward. Multiplication systems are contained within multiplication systems; numbers always exist in the same relationships, and their order in a particular series is just a matter of phasing. The series of multiples of 1 is the control, and because of this, based on what we have already discovered, it is of no surprise to learn that the members of each family number group are separated by thirds in the series of 1-9 times 1. In other multiplication series, the series above is contained in different phasing. For instance, in the multiples of 2 and 4, multiples of 1 are located, in order, every 5 steps. In the 5 series they are located every 2 steps. Numbers are not just devices which can be used for clever manipulations. Rather, the relationships and patterns of numbers are real patterns and relationships, and when applied to the real world they show that the entire universe is formed of patterns which are consistent from a microscopic to universal scale. The relationships we show are believable simply because they work, they are testable, they can be seen. Okay, what do we have so far? A doubling circuit, from which the numbers 3,6, and 9 are absent, and a pattern of polar numbers, from which 9 is absent. Now the magic (without any tricks) begins. A Preferred Frame Of Reference The universe has a preferred frame of reference which is consistent at any scale. this is true both spiritually, for the soul which is defined in its relation to its Creator, and physically, as objects accelerate toward the center of mass. Nothing exists alone; truth is defined by relationships. Let us picture and Egyptian pyramid. Here we have an example of what Marko Rodin describes as the preferred frame of reference in physical terms. We can pretend that the point of the pyramid is a center of mass, or the "aetherons" which are emitted from this center of mass. The pyramid close to the point is narrow; at the base it's wide. As we approach the point there is convergence. Since all movement is in relation to this point, movement is a flow of compression and decompression. If we imagine this movement taking place on the pyramid's sides, and then imagine a line from the point to the ground, reaching the ground at a 90 degree angle, to be the axis of the pyramid, we find that our movement is never on the same line as the axis, but described around it. This model is also consistent with Einstein's physics, which refers to gravity as acceleration due to the curvature of space-time. In fact, all "matter" is actually a curvature of space-time. Therefore, there is nothing but space-time and motion, which is pretty much the same thing, and, again, there is curvature and acceleration towards the center of "mass". Marko Rodin sees the same effects, but presents a different explicit rationale for this existence.

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