The Gateway of the Human Body
In 1995 I took another concentrated foray into the female canon. I made some real progress, but was still disturbed that several things were off. Several features were entirely unaccounted for and this had the effect of keeping my mind dim. I was amazed how resistant it was to revealing itself. What I recall, however, was that the new discoveries were momentous for me personally. There are too many details for this post. But this implied that I could not give up the pursuit. Nor could I account for my perseverance. Why did I want to know the geometry of our form so badly? This crossroads taught me that I didn’t know myself. I realized that all I could do was discover myself everyday. I had some sort of penetrating belief that seemed to have me in its grip: the human form is not an accident. It was the way it was for a variety of interactive reasons. I knew a fundamental geometry was guiding it and I also knew that the same geometry influenced man’s spiritual longings. I believed the ‘uncertainty relation’, presented around 1925, was contained within the geometry. What was measurable and immeasurable co-existed in one system. This is an aspect of our duality. Because I was initially working at such a small scale with pencil and sketch pad, precision was critical. If I was off the tiniest amount it looked ugly, wrong, dysfunctional and even worthless. That fall I built up a very complex geometry and yet still, it lacked something fundamental. I did not get discouraged, however. I had faith – a faith that I did not have in any other field. I simply believed I was going to find something that would make a difference. When the work was interrupted in a rather disastrous way from 2006 to 2009, I admit my faith was shaken. But even so my belief seems to be inextinguishable. Set against the difficulties of my life, I admit, this belief is mysterious, like the relationship between a mother and a child.
Developing this work was a long meandering road where things continuously went in and out of focus. Sometimes the whole focus would go completely and the work would stop for months. But it was always in the back of my mind and I was always alert to fresh clues that might help me to account for some feature that could in turn be perfected. This was especially the case with the arms and hands. I was looking for a principle. I knew the brain was dedicating a disproportionately large number of cells to the function of both mouth/lips and hands/arms. In order to harness so much energy that was then applied to multiple tasks requiring intricate skill, I felt the geometry of the hands, arms, shoulders, but also the mouth, lips and jaw, had to be exceptionally flexible, adaptable, harmonious and effective. What would that be and why was it eluding me? Moreover, these activities involving intricate patterns of muscle action, operated through feedback loops that were being managed by the brain and in fact the whole head. Something had to be capable of this. For several years I had been quite taken by what I came to call the Squared Circle Modulus, a silly term really. I was interested because I knew that the speed of an electron in the First Bohr Radius (ground state) was determined by the Fine Structure Constant. Essentially this number 1/137 was itself determined by dividing the square of the fundamental unit of electric charge by the product of the speed of light, Planck’s Constant and 4π × electrical permittivity in free space. So it looks like this:
I understood this value was important in regulating many functions and many relations in the universe including biological interactions. This latter cannot be emphasized enough. So this gave a speed of about 2188 km/s at the ground state of the electron in the First Bohr Radius. 2188 is the product of the Squared Circle Modulus raised to the 5th power, so, approximately:
4.65583 x 4.65583 x 4.65583 x 4.65583 x 4.65583 = c/137 ~ 2188 km/s
This prompted me to start a progression – it mattered little initially what the progression might signify. All that mattered to me was that the SCM (~ 4.66 refined to 4.655831) was acting like a vital coefficient. It seemed to be as important as the golden number, only it seemed to be regulating ‘speed’ (momentum) relative to the vacuum and was relating the constant that is relevant at the quantum scale to the constant that was relevant to relativistic physics. One immediate consequence of this speed or momentum was that it also set the diameters of things. For example if you divided the Sun’s diameter by 137 you get the diameter of the White Dwarf, Sirius B, that has collapsed from 1.05 Solar Masses to a white dwarf that is super dense but no longer producing enough light or photons that can counter the gravitational force of the mass of the star. Degenerate electrons and their speeds as well as electrical repulsion among each other have blocked further collapse of the star. But overall its previous hydrostatic equilibrium has been replaced by a new equilibrium set, at least ostensibly, by the Fine Structure Constant. So ‘speed’ is part and parcel of radius, or diameter, or degree of separation. The small heaps up to the large; quantum effects heap up into classical effects; microscopic heaps up into macroscopic and they remain interdependent.
By 2000, I felt that one key ratio that described this reciprocity or mutual interdependence between quantum mechanical and classical, or small and large, was the SCM, set around 4.6558, but with built-in variables.
When I realized that the Prime Squared Circle (PQTU over circle OV) of the canon seen below, cut through the mouth and that the mouth of the adult in both canons was being reinforced by so many important geometrical functions, I decided to take the SCM seriously and be on a continuous lookout for where it might show up.
Moreover, the Fine Structure Constant was being related to the square of electric charge which bound protons and electrons together. This relationship dominates biology. I decided to start one step before alpha, the Fine Structure Constant. It was something like 29.4332 which, coincidentally, in Earth years is the number of the Saturn transit around the Sun. But in the 1980’s 1/29.43 was close to one of the ‘running’ coupling constants relevant at the scale of the electroweak force, so that when related to alpha (known as the “weak mixing angle”) it was something like .21478 or 29.4332/137.036 = 1/4.6558 . But now it is thought to be more like .22 for the W particles or .23 for the neutral “Z” particle. This interested me immediately, because as I developed the arms and hands at the Ideal Botanical Angle in a circle set over the center of the Thoracic Vesica, I found a range in the hands that extended from the mouth-to-vertex measure, that was: .2146 to .22 to .23148, the latter being the maximum for a male; the female being more in the .2146 or .22 range. However, I decided I would keep 29.43 in case it referred to something subtle at that scale. I then progressed through 137.036 until it reached the Capra nucleon speed which I upped to 64,390 and then to the speed of light at 299,792.458 km/s and from there to 1,395,783 which is strangely close to the diameter of our Sun if you include the super hot layer that extends past its immediate surface.
1. 29.433199 × 4.655831 = 137.036 (Fine Structure Constant)
2. 137.036 × 4.655831 = 638.016454
3. 638.0164 × 4.655831 = 2,970.496774
4. 2,970.4967 × 4.655831 = 13,830.13091
5. 13,830.13 × 4.655831 = 64,390.75197 (Capra Nucleon Velocity)
6. 64,390.75 × 4.655831 = 299,792.458 (speed of light)
7. 299,792.458 × 4.655831 = 1,395,783 (solar diameter)
Naturally, then, in view of this rather deep progression, that even suggests a vital diameter for a G2-yellow star, the fact that (Earth + Moon) ÷ Moon should yield the SCM (4.66) and that the human mouth also gives the same relationship as do the hands relative to the radius of the heart circle, I could not ignore its significance nor its use at Chartres, the Parthenon and the Great Pyramid. Particularly striking is the fact that this measure of 60 cubits in the Great Pyramid, where 280/60 = 4.666 becomes the internal perimeter of the King’s Chamber. So they have taken a length, a height which is also a difference, and have collapsed it into an enclosure. In the Pyramid Texts they talk about strengthening the winds in the Broad Hall of Osiris (PT 1551). With further references to iron one soon realizes they were referring to the Earth’s magnetic field and probably the accumulation of electrostatic energy, not to drive light bulbs or hair dryers, but for the purposes of spiritual baptism in a medium quite different from water. The King’s Chamber is a hydrophobic cavern if ever there was one! It seems they were trying to ‘strengthen the winds’ by a very precise amount and this amount was derived from some knowledge regarding Squared-Circle geometry, the basis of the whole Great Pyramid. This is one of the great mysteries of the Great Pyramid. Why did the builders use squared-circle relations for its design? And why did they take the difference between circle and square and make it the perimeter of the enclosure of the King’s Chamber? What did they believe this proportion of the height (1/4.66) would accomplish deep within the body of the pyramid, the great Primordial Mound or Hillock of Khepera?
I also found it intriguing to see a parallel between Capra’s nucleon speed and the speed of light.
64,390/29.4332 = 2187.66 = 299,792.458/137.036
It suggested to me that squared-circle relations were involved at a fundamental level with the Uncertainty Relation in determining the scale and momentum associated with the generation of nucleons relative to the vacuum where c sets a limit for massless energy. It also seemed to be saying something about the birth of matter – the relationship between spatial confinement and rate of motion or agitation. It also indicated that the speed 2188 km/s for the electron at the First Bohr Radius was being reinforced from 2 directions: out and in. The nucleon speed was the matter pole and was being divided by the coupling strength at the scale of the electroweak force while the speed of light was being divided by the Fine Structure Constant, the coupling strength at the outer limit of the atom. They were converging at the speed of the electron at the First Bohr Radius. The atom was self-regulating, self-adjusting in a vast cosmic soup. The relationship between c and the Capra nucleon momentum struck me as fundamental. So to see it come up as the SCM (1/4.66) – one key to squared-circle-dynamics – suggested that squared circle dynamics were a critical aspect of self-organization relative to the vacuum at a fundamental level. It seems the Egyptians were thinking at that level when they built the pyramid and wrote out the Pyramid Texts in some of the 5th and 6th Dynasty pyramids.
What I find potentially interesting about this equation:
64,390/29.4332 = 2187.66 = 299,792.458/137.036
if it has any serious merit under at least some conditions, is that the electron speed in the First Bohr Radius (ground state) can be arrived at two ways. One way is dividing the speed of light in the vacuum by alpha (137.036) and the other is to divide the mean nucleon speed on Earth by the value of what has been called alpa-2 or say 29.4332. This would seem to suggest that an equilibrium has been set on the basis of squared-circle geometry within an atomic field. The mean nucleon speed is to Alpha-2 what the speed of light is to Alpha. The electron has adjusted by speed and radius as it ‘vibrates’ electrically around the nucleus that is many orders of magnitude removed from the nucleus under terrestrial conditions. Apparently the mean electron speed on Earth is something like 1,000 km/s. This is about 1/64th the nucleon speed. And at the First Bohr Radius it is about 1/29.433 of the nucleon speed. By analogy, the Earth/Moon pair has a mean circular velocity for 1 AU of 29.78 km/s while the Moon moves about 1.018 km/s. So their relationship is about 1/29.25. Moreover the Earth’s Equator moves about .4651 km/s which compares to its circular velocity as 1/64. The coincidence of the appearance of both ratios: 64 and 29 is striking to say the least of it. The continuity of these number-proportions is in part what the Egyptians meant by decussation of above and below; around and within as well as what they meant by the principle of Maat or Cosmic Equilibrium. The numbers point to inversions between macro and micro in such fashion that their behaviors are bound together in a shared field.
The relationship between c and the Capra nucleon speed is the same as the relationship between alpha 2 and alpha. So their relationship may be simply .2146 in an ideal or threshold situation. In the case of the human body – especially the position of the mouth – it seems that this .2146 is close to exact and that multiple geometrical resolutions converge on, or reinforce, the same position set by squared-circle dynamics. An atomic field, at a fundamental level, must be reacting to its environment both internally and externally through a squared-circle paradigm. It is so important that it keeps recapitulating itself all the way to a standing adult human who is bound together by electromagnetic energies but also is constrained to experience the gravitational cycles that influence the Earth’s surface continuously. Still, I admit, I was very surprised to see the Prime Squared-Circle (by perimeter) fall exactly on the mouth
and to see the authority, stability and beauty that it imparts. But I was also surprised to see the formula: Height (2) ÷ 1.118 = 1.7888, converge with the strict Squared-Circle formula. The Squared-Circle formula gives 1.7854. Their relationship is 1.001934784… If this same ratio is applied to the AU, incidentally, one gets exactly 500 light seconds or 149,896,229 km for 1.001934784 AU.
As I worked I felt more like a temple architect than I did a physiologist. So when a region was dim, I myself felt dim. And by some truly mysterious correspondence, the ‘temple’ felt dim. What temple? The answer to this was long in coming. But obviously the temple was acting like the Grail: it was overflowing with information. It was the place of life; where, in mysterious cycles, the Phoenix came to roost upon the altar. Every day despite discovery and exploration I had to confront my own limitations; my own ignorance. Furthermore, my life circumstances were always on edge. There was no real security. Nothing was normal. My routines were not normal. I often felt like Hephaestus locked in a cave far from the daily bustle, chained to a rock with nothing but a pencil and pad of paper or a ruler, mylar and a compass. A guard never left the shadows of the cave, a spear in his hand and a sign always hanging around his neck: DRAW – ON PAIN OF DEATH. But gradually it was my fate to come to terms with the fact that the human body was the basis of the temple design. The temple strengthened the ‘winds’ and lifted the human spirit above the darknesses of psyche and body.
Full concentration and hours of laborious searching were essential to find missing clues. I was not interested in the anatomy of corpses. I wanted to see directly into the underlying principle, the cause – that which was supporting what we call our anatomy – but also that which was supporting the soul; whether it be comparable to the Egyptian “ka” or not. I was also on the continuous hunt for any clues that might help me to understand the inner nature and even cause of the 1980 dream in which I experienced a new order of ‘seeing’. I knew the progressed New Moon was involved because it had set the clock, the timing of the event. I knew the entire dream had acted like a dynamic inner seed in which the ‘self’ had been reborn after an unexpected internal self-fertilization. I knew something quite unique had happened to my heart as well. And this change of heart was what I had craved both consciously and unconsciously all my life. I did not know anything about the tradition of a ‘second birth’ because I was uncomfortable with the Bible and never had the right circumstances to settle into any meditative state long enough to let it sink in. But I was on the path of the second birth anyway – despite all ignorance. It took years for me to understand that Parzival was a story about the second birth. What was violent, ignorant and crude was undergoing a transformation into a higher, more refined state of being within which the spiritual self was awakened. At this point one no longer has a human mother, nor a human father. This ‘more than human state’ is an experience and should probably be classed, according to the tradition of such experiences, as spiritual empiricism. But it occurs on an advanced level of spiritual development that requires considerable commitment and sacrifice, dangerous under normal social conditions as it is capable of disrupting one’s entire social existence: family life and career. This explains why certain societies set up monasteries and a decision was required to enter the discipline of a monastery. I started to realize that the male had an inner female program that at specific times needed to be integrated. That integration process was on a clock. The clock was the same as the female clock. When in ‘progressed’ mode it was a 29.53 year cycle. The male, at such times, may not be giving birth to a physical baby, but he is capable of giving birth to another form of ‘infant’ that traditionally goes by different names. In any case the 1980 dream inspired and compelled me to understand the underlying basis of body and double, since it appeared as if for the moment of the progressed New Moon, the body had ‘stepped aside’ long enough for the ‘double’ to undergo a qualitative change of state.
Between 1997 and 1998 during which I did all the heavy foundation work for a garden that surrounded our house – a garden destroyed by a hurricane in 2003 – I realized the heart region of the canon of the female was still dead. So was the region of the Solar Plexus that I did not quite yet realize was 2/3rd the height. I realized I was still trying to go about the anatomy as if needing to please physiologists. I was not listening to my own spectrum of instincts with unreserved courage. For this reason I started to drag some astronomy books into the house and exposed myself to the latest data, images of the Earth’s magnetic field and the Earth in profile. I reread about the Earth’s core, the outer core, the iron and nickel. I then looked into theories about stars, white dwarfs, supernovas, how iron is formed – under what conditions and the meaning of 56 nucleons which possess some sort of stability that blocks further fusion in a star. I then learned how to work a few gravity equations and equations involving Planck’s Constant, the speed of light and so forth. All this had the effect of sensitizing me to a feeling of how we grow from a single cell packed with information to a grown adult; in other words the path between microscopic and macroscopic. I was quickly aware that I had been changed by my 1980 dream permanently. I was no longer capable of reductionism. I could not reduce ‘mind’ to ‘brain chemistry’. I could not reduce “Self” to body or even personality. I could not even reduce it to an astrological chart. The Self seemed to have an open boundary where spirit and matter met and danced. I could not reduce psychology to the choreography of hormones. I saw hormones as agents, liaisons, connectors in a spectrum of activity that was ultimately not computable even when constrained by geometries that held all of it together and allowed it to relate back to itself through a dizzying array of feedback loops.
I was struck by the amount of controversy that prevailed in physics, in psychology and also in theories about the nature of consciousness itself. The more I read the more I came to believe that the geometry was providing the means within which all the controversy was operating and within which even deep principles like Heisenberg’s Uncertainty Relation were being housed. When I attempted to understand what aspects of energy and mathematics were blocking Grand Unification Schemes that tried to unite the Four Forces of Nature into one equation or scheme, my mind was flung wide open and I started to see the Earth’s surface with fresh eyes. I started to see many things with fresh eyes. This state of open-mindedness was first and foremost an act of faith. It was a belief that things are actually unified in ways that transcend ‘normal’ appearances – including ‘mathematical appearances’. And these forces that unify had extended to the human body and in fact were underlying its evolution and function from the beginning. I also believed they were responsible for what we call health and that illness sets in when unity has been disrupted, obstructed and when the parts within the whole have become excessively separated from one another. A lot of factors can disrupt, obstruct and separate. In ancient Egypt, this was Seth. Seth was the obstruction of unity; the disruption of harmony; the separation of the opposites engendering a state of antagonism, anger, frustration and opposition. In the moral sphere Seth opposed justice. This focused unity that I had some inborn faith in, also extended to the surrounding environment. When things go out of focus, the environment assumes a specter of evil or hostility. When things are in balance, the same environment will appear beneficent. I worked from the assumption that the relationship between inside and outside sought harmony by its inner nature.
By this point I was already treating the meter as both a finite measure and a proportion. Its greatness was as a proportion. The 39.37 inches meant nothing in and of itself. But I also became interested in the meter as a principle. It had been derived from a principle that society tended not to offer as part of the ‘Metric How-To Manual’. I had been struck somewhere between 1989 and 1997 by a combination of the writings of Peter Tompkins and R.A. Schwaller de Lubicz, who presented a whole new way of looking at ancient Egypt. Schwaller had spent some 15 years in Egypt while Europe was embroiled in turbulent disarray. And he examined the Temple of Luxor with a fine tooth comb in an atmosphere of peace and sanity. During that time he insisted that he found not just a few isolated occurrences, but thousands of examples where the meter had been used as a measure!!! According to his stepdaughter, Lucy Lamy, the meter was in evidence in mastabas as early as the First Dynasty! I was slow to come to grips with the implications of this discovery. But in any case when I reviewed the ‘history’ of the meter I realized that there was no way anyone could match the Egyptian meter by going out with instruments – even satellites – and boiling down the Earth’s size to exactly that known to the Egyptians. There were too many variations in the surface. Whoever made the solemn decision to select a meter of 39.37 inches, it is in my view a credit to their sense of history and the often underground debt owed by the entire Western World to the conscience, wisdom, knowledge and ability to preserve records for which the Egyptians were famous. Sir Isaac Newton (1642-1727) did not have to wait for the meter to be established in Europe to learn the size of the Earth from which he could compute its mass. All he had to do was send people to the King’s Chamber and measure it carefully. However, this would not have done much good were he not also in possession of the principle that would allow him to deduce the scale of the measures reported. If the KC was built in a uniform way; and if it was in fact supposed to be a manifestation of the royal cubit, then its perimeter would have been the same as a circle with a diameter of exactly 10 meters. That meter would have been 39.37 inches if the cubit was .5236 meter. Provided Newton was aware the Egyptians had derived the meter from squaring the Earth polar circle, and provided he knew the scale of the King’s Chamber, then he could deduce the size of the Earth – for the purposes of finding its mass – by simply knowing that the 10 meter circle is the circle-in-the-square so that the square has a perimeter of 40, instead of 31.416. The Earth’s circumference, then, would be 40 and some zeros. There is a tradition that even goes back to Herodotus and Aristotle that the Earth could be measured as 40,000,000 which obviously refers to the meter.
This history of measures is fascinating. I for one am deeply moved that the Europeans in the 19th Century (1793-1799) would pay homage to the Egyptians by adopting the principle of the Squared-Circle represented by the meter which is simply the side of the square divided by 10,000,000 which brings it into the range of the human armspan. Attempts were made to measure the meter prior to 1793, but these measures were not in agreement with each other. A provisional measure was adopted in 1793 and basically stuck. What is extraordinary is that this provisional measure should be the same as that used by the First Dynasty Egyptians. As it turns out the meter is shy of the actual terrestrial Polar Circumference. So there are more than 40,000,000 meters in that circumference. However, what really matters is that it expresses a principle that we do not know enough about. That is Squared-Circle relations in geometry.
With or without the imperfect history of the meter, I had already taken to the meter in 1985 when starting the baby steps of the female canon. It was a language that I found eloquent. Every time I constructed a 5 x 10 cm rectangle and performed the golden section which brought out 3.82 and 6.18, something felt right immediately. I believed that the meter was maintaining a principle and I believed the principle was deep. I was eventually intrigued naturally to learn that the mean height of the female in North America is actually about 1.618 meters (an American is a little taller than a Canadian) so that the mean navel position for a modern North American female might be about 1 meter which is very close to the length of a pendulum that beats the second of time (.997 m). One meter, by the way, is about the mean tidal flux on the ocean. The Earth’s crust rises and falls around 20 cm, but on the ocean the tidal flux is about 1 meter. In some areas of shore the land configuration is such that the tidal flux is much, much higher (e.g. 15.25 meters in Minas Basin, Nova Scotia), but the ocean flux is about a meter.
One day back in January, 1998 I was interested in actually being able to compute circular velocity so I could get a feel for the equivalence principle in gravity. And I realized that the Earth was only at the position of the mean Astronomical Unit (149,597,870 km) twice a year (April 4th and Oct 5th, 1998). I obtained charts for all the positions of Earth + Moon for 1998 and started to come to terms with the difference between a statistical mean and the reality of a full year of time. Time is definitely a fourth dimension in all this work. But it is not as easy to demonstrate its effects. Prose and other forms of writing are good at conveying the role of time in the spiritual development of a human. I am quite conscious of time during certain phases of important cycles. But at other points, I almost become oblivious to time. Time measures energy and process. Without process we are nothing; without it we lack depth. Everything great undergoes a process. In physics time is an inseparable component in all measurements.
The Astronomical Unit: A Critical Separation: ~ 150,000,000 km
I realized the AU was close to 500 light seconds, but also the number 15 in the metric system. So the full diameter of the Earth’s orbit was nearly 1000 light seconds. In terms of time two photons leaving the Sun at the same time but traveling in opposite directions would end up covering the 1000 light seconds in 500 seconds of time. But spatially it was 1000 seconds worth of light travel giving around 299,200,000 km. I often reduce zeros in order to study the principle of the behavior of the number. Then I restore them to attempt to understand the function at hand. Obviously the 150,000,000 km separation between Sun and Earth is critical. I cannot imagine anybody alive on the planet today who does not feel sensitive to that distance of separation. We know how easily drought can set into a region. We know what fire can do on a massive scale. We know what too much ice and snow can do. We know what too much rain can do. We know what happens when the range in temperature is too severe. We know what happens when the body is overheated or cooled down below 98.6° F. Our metabolic efficiency is altered dangerously. We know what happens when parts of the food chain are wiped out due to excess heat, sunlight, ozone depletion, or other forms of imbalance. We know how quickly sunlight can damage skin and eyes. All of us know, the more we learn about neighboring planets, that the Earth’s surface is delicate. What it supports is delicate. The water cycles that it maintains are unique. The atmospheric composition is unique. The green life supported by all these features is unique. Since man lives on the Earth’s surface, it struck me that I had to pay more attention to the Astronomical Unit (AU) and that I ought to superimpose the growing geometry over the AU and see what numbers break down. Not only that. I needed to see where they broke down. In the back of my mind I expected I would find things but had no idea what, or how what was found would help to fine-tune the system of proportions I was hunting for. I was certain the numbers would offer insight into the behavior of the meter; behavior that was interactive and operating in an entirely meaningful context. I felt it would suggest something about how the whole was self-focusing into its parts. And how the parts were managing the all-important feedback loops that permitted a living system to grow, respond, adapt, learn and possibly perform that leap in consciousness that transforms the humdrum into something special.
Since living things like to grow toward the light source, I began to get a feel for the seed at the Earth’s surface growing toward the Sun. I also kept in the back of my mind a sort of holographic notion of ‘made-in-the-image-of’. I imagined the entire Sun/Moon/Earth relationship as being recapitulated at a specific scale relevant to biological molecules, even as far down as the scale of the tubulin protein dimers and smaller. One half the dimer is only dealing with some 55,000 Daltons of mass. But presumably one could talk about 1 Dalton or two or three when discussing hydrogen bonds. But even so, there was a limit before the nucleons were too remote from electrons to be part of the physical process. The charge between nucleons and electrons was critical and the speeds of the mass-energy were important because they contributed to the reality of stability and dependability upon which the bio-chemical interchanges and growth progressions relied. The more I thought about the Earth’s surface and its atmosphere the more convinced I was that the geometry was a superb scope or lens with which to examine the underlying resolutions of approximately 500 light seconds; 150,000,000 km, 92,955,600 miles, etc.
I will repeat, left to my own instincts, I believed the AU could be examined in the image of the human body as if a prime geometry were being recapitulated, scale-by-scale, until a seed was born in optimum conditions: conditions where life-energies could self-focus and maintain themselves long enough to establish conscious memory of the existence of that life-structure. The whole seed was in the embrace of the entire principle of the year, which of course can be construed as a circle. In the case of Neptune and Venus it really is a circle. In the case of the Earth there is some eccentricity off a mean circle by nearly 2,500,000 km in either direction (perihelion/aphelion). In the case of the Earth perihelion is around 147,100,000 km from the Sun and aphelion is about 152,102,100 km from the Sun. I drew this eccentricity into the geometrical illustrations of the canon but the eye cannot pick it out easily. It appears to be a circle. I show ½ the circle only to conserve space.
By 1998 one word began to dominate my mind: resolution. I started to picture the entire solar system as a massive self-focusing system that sought resolution among parts within a single whole, with time always functioning as a fourth dimension!! A quick glance at just a few initial figures is immediately interesting, if initially awkward for the mind. Above we see the following: 150,000,000 km, 75,000,000 km, 92,707,045 km, 57,300,000 km. We also see 309 light seconds, 191 light seconds, 500 light seconds. We note immediately that all these numbers appear in the first few lines of Series E.
191, 309 and 500 are all in a row from Column X to XII on Line I. 573 and 927 are next to each other on Line 3 Columns X and XI. 1500 is also on Line 3 next to 927 in Column XII. 309 appears again when we divide 927 by 3 to obtain the female Pelvic Vesica Piscis. 309, is a lunar number. Note 75,000,000 km is 250 light seconds. In 25 years there are 309 synodical months. In 75 years there are 927 synodical months. In 50 years there are 618 synodical months. In 1000 years there are 1236 synodical months. These numbers seem to be expressing the way what has been resolved at the Earth’s surface self-focuses as a result of both spatial interaction and the flow of time which gestates and grows, cyclically. The year does not divide into even numbers. It is not 12 Synodical Months; it is 12.3682369 Synodical Months per year (equinox to equinox). With the appearance of this 1236 number right away one feels that an organic process is at work. Organic processes tend to be characterized by the golden number. Time is the trajectory of the process. So there should be no surprise that the golden section family shows up in measures of time. The synodical month is creative and dynamic. In the year there are 1.2368 x 10 synodical months. The year is a product of the decimal and golden section functions.
We can see these angles again below with the figure in place. I have outlined in red the Ideal Angle and selected the 137.5° sector of the Heart Circle also in red.
At the Earth’s surface the whole, it seemed to me, was being implied in the parts as if through a means of self-focus that uniquely balanced gravity with electromagnetism with the subtle co-operation of the strong nuclear force that provided the mass that as an ensemble was being controlled by the Sun’s mass-gravity and also the gravitational influence of our nearest neighbor, the Moon. At the Earth’s surface the acceleration of gravity is strong enough at 9.78 m/s² (Equator) to hold mass to the Earth’s surface – despite the overwhelming gravity of the Sun. But the Sun is causing the Earth and Moon to fall together toward the Sun continuously, balanced by the centrifugal momentum of the circular speed almost as if the planets were being pumped or pulsed around the Sun as if via a gigantic heartbeat. I know nothing about gravity waves, but it makes sense that gravity would move in waves given its effects. I have been intrigued for some time at the relationship between the 160 minute pulse reported back in January, 1976 in the New York Times and the Earth ionospheric ‘shout’ said to be 69 times a day. I already described in an earlier post the use of this 9/69 ratio to determine the head size relative to the body height and found it to be perfect for situating the mouth by several, converging geometrical pathways. I use it (.13043478) instead of the more whole 13/100. This is an example of extreme precision in the canon that I felt the mouth warranted. Remember, the mouth to vertex measure is the basis of the SCM ratio. It is divided into the distance from the vertex to the pubic bone. The implications of this 9/69 association between the Earth ‘shout’ and the solar pulse, is that our image of how the Sun is affecting gravity may not be telling the whole story. We might have an imperfect understanding of the vacuum and we may not understand entirely how it gravity is operating and that it may be influencing the planets as if it had a double cycle: diastole and systole. The further implication is that only at the Earth’s surface has a balance been struck that permits human pulses and human oscillations to endure. There has to be some critical cross-over effect or exchange between gravity and electromagnetism that, at the Earth’s surface, has assumed a creative function within a creative ‘equilibrium’. This also affects the mind – how we think and record perceptions.
In the image below the circle being squared is OV. The square with the same perimeter is PQTU. The 2:1 rectangle that passes through the mouth and pubic bone is PQNM and has a value of .7854 × 1.5708. The pyramid MON unites circle and square. The span that recapitulates the 60 cubits of the Great Pyramid is here seen from the mouth to point O at the vertex. Here it is .2146. The Pyramid that has its apex on the mouth has a base RS which is identical to the width of the golden rectangle and we will see ahead is synonymous with the ‘Shared-center-of-Mass’ circle inside the Earth – that the Earth and Moon
create together. I should also point out right here that the female hand falls shy of the circumference of the Heart Circle but seems to be identical to the mouth-vertex measure (~ .2146 of Unity)! The male hand appears to be – in certain categories – a little longer than the mouth-vertex measure. This vertex-mouth measure is archetypal. It is precise and can be used as a module if desired. It is simply 2 – 1.785398163 = .214601836. The reciprocal of this is 4.65979. Just as the hand has some mobility at the wrist, so does the jaw have some mobility below this point. The mouth is as active as the hands. The Moon also has mobility while sharing in a common center of mass within the Earth and participating in the same ratio with the Earth that the hands do to the Heart Circle.
I will return to the subject of the mouth ahead. This is one part of our system that not only pertains to the physical world. It also has relevance in the spiritual world and seems to act as some sort of gate or portal between spirit and matter. It’s quite amazing really. The ancient Egyptians were very particular about speech and about the relationship between the heart and the mouth; between Ra and Thoth; and Ra and Ptah. When they stressed the manner with which something was spoken, they were stressing the quality or state of the heart. And this affected speech: the relation between square and circle.
The vacuum must be playing a role in the way constants have been set and the way quantum mechanical behavior works with macroscopic, relativistic behavior. We must contend with degrees of curvature of space-time and that can create problems for mathematics when we attempt to deal with energies approaching a ‘0’- point. What seems to happen is that ‘focus’ is lost. ‘Resolution’ vanishes and we have to back away from notions about a ‘o’ point or the idea of absolute singularities. It then seems that a family of constants adjust to one another until they have reached an agreement of some kind. It seems that geometry must be playing a role as the field , pattern or bridge that links the two scales or behaviors together. One archetypal geometry, intuited by humans for eons, is squared-circle geometry. The ancient Egyptians went to great lengths to build the Great Pyramid in accordance with this geometry.
Below I have drawn the template for the male canon of proportions. The semicircle here represents about 6.18425 synodical months or 182.625 days. Recall that the golden section of the synodical month is the 19th day, or 18.25133 days. All children can draw semi-circles. What makes this semi-circle interesting is that it measures 6.184 synodical months. The synodical month determines the female ovulatory clock, which is to say 6 ovulations, 3 per ovary in the period of this semi-circle. It is important to emphasize that Nature has synchronized the synodical month to the golden section number. And recall that in the North American female, the golden section of the average body height is 1 meter + .618 meter. When the Height is Unity, the golden section is .382 + .618 = 1. Note that the relative male Pelvic Vesica is .382 of Unity, where unity is ½ the height or in other words is the width of the Prime 2:1 rectangle. The female is .412 or 1.236/3. I should also note that the surface gravity of the Moon is exactly the same as the mean height of an American or British woman. It is 1.62 m/s². In this instance the length 1.62 meters is dependent upon the fourth dimension of 1 second. At Chartres the First Elevation has special meaning – being 9.79 meters – when one includes the dimension of time. I personally cannot ignore 1 second of time, because for decades my heart rate has been 60 beats per minute or 1 beat per second. The First Elevation at Chartres is interesting because it corresponds fairly closely to the surface gravity at the Earth’s Equator. The means by which the elevations are calculated is through triangulation. The base of the triangle seems to be derived from the Great Pyramid as alluded to by Charpentier who did not have the benefit of knowing the 1925 Cole Survey. The base of the triangle is ½ of 29.53 or 14.765 m. The first hypotenuse is 1.2 x 14.765 which gives 17.718. Through Pythagorean Theorem, we can easily compute the right angled height to the first elevation which ends up being the square root of 95.922299 = 9.793993 m. By adding about 2 cm the builders would have the surface gravity at Chartres where the center of the Earth’s mass is a little nearer than at the equator. So more distance would be covered by a falling object in the same time frame. But the point is, 1.62 m is not just a spatial measure. In the case of a North American or British woman, it is the average height that can be seen in the context of 1 second. The Moon’s gravity is about 1/6th that of the Earth’s.
1.236 is .618 x 2. Also note that the Escape Velocity from the surface of the Sun is ~ 618 km/s. This is c/485.4 or c ÷ (300 x 1.618). The head square shown here in white is based upon 9/69 where 69 is the height or ~ 150,000,000 km.
This idea of resolution or self-focus – especially with the continuous appearance of the golden section family of numbers – convinced me that scientists were incorrect to dismiss the Moon’s measures and even apparent angular diameter in the sky as seen from Earth as accidental or meaningless. There has been a tendency to reduce the Moon to various categories or labels that have rendered it dead and of no special significance as if the Earth would just be going along fine without it. To tell you the truth, this attitude toward a key member of this self-focusing system, causes me considerable discomfort. The notion that we all have bigger and better things to worry about than the Moon is itself a deception. We all have jobs to get to during the day. But that does not mean it is necessary to leave the baby to drown in the bath water or fall down three flights of steps. What is small and right under our noses is often what is most important. A tiny baby will grow. And who knows what it will grow into? It seems that the collective maternal instincts of humanity are still being diluted by an overly flaunted arrogance spawned by the domination of male aggression. The ancient Egyptians associated perhaps their most productive, wise and efficient “neter” with the complete Synodical Month, which depends from the triadic relationship among Sun, Moon and Earth. Within a fascinating African group known as the Dogon, each tribe was allotted a planet. The most important tribe, the Aru, chose the Moon over the Sun as their ‘planet’. They said it kept them humble, but I believe it was because they knew the role the Moon played in secret male initiations that guided them into spirit state. They knew it governed cycles of renewal critical to human well-being.
The heart is also perhaps more important than it seems. It is more than just a physical pump. Consciousness itself is affected by heart rhythm. I was driving a car on a tight road south of Route 3 on the way to Elizabeth, New Jersey, many years ago. I was in the right lane. Suddenly, the largest truck I have ever seen came barreling down an on ramp and did not slow down. He was supposed to yield and did not. The next thing I knew the front of my station wagon was under the body of his truck. Time altered in the twinkling of an eye. I believe I held my breath and slowed my heart rate involuntarily. It felt as if death was an instant away. At that moment I felt myself leaving my body. I was just expanding or floating outside my body as if my heart had stopped. My conscious attention was smeared out so that I felt two places at once: outside the car looking in and inside my body looking out. I had no idea what to do. Then I felt a counterforce surround the car. It was a unique experience. It acted like a bubble that was at the same time a buffer. This counterforce pressured me to jerk the wheel with the bubble in short, little, leftward jabs. Time remained completely altered. My entire identity was out of commission because my heart was as if stopped. Somehow, the car was ‘bumped’ out from under the truck which never saw me. His rear wheels did not make contact with the car. I jerked the car out of his way right over to the concrete median without hitting the median. He roared off. All the other cars had nearly stopped and were now far behind. They must have expected an accident. I nursed my way to the next off ramp. I took the car onto a flat dirt area facing south. I turned off the ignition. I still had no identity. And then suddenly my heart reaccelerated. It pumped so hard that it knocked violently against my sternum like a hammer against a rock. I could not control it. Finally I let out my emotions. I must have stayed there a half an hour before I felt it was safe to keep going. It was as if all the blood had left the heart and gone somewhere else. I knew the time only because I consulted the car clock to decide whether I should return to New York or keep going to Elizabeth.
Now, Kely was walking down Ninth Avenue in New York City just below Port Authority at the time I was encountering the truck. At the moment I was under the truck she was assailed by terror. Her heart appeared to stop. She stopped dead on the sidewalk as people swerved around her. She knew mentally that I was in mortal danger. Her heart would not go. Then, as suddenly, the danger passed. Her heart reaccelerated and pounded violently in her chest. When she felt normalized she resumed her stride down Ninth Avenue, believing I was okay. She recalls this incident like it was yesterday. It was vivid and memorable. Later I spoke to her on the phone and told her about the incident. She described what happened to her on Ninth Avenue. We both realized that it was another example of synchronicity. I had already had a few such experiences. But this was the closest brush with death and the only time I felt at least partially out of the body. Two principles are operating here at once. The heart appears to be synchronized to states of consciousness and to the stream of consciousness and to the perspective that distinguishes between objective and subjective reality. This can undergo metamorphosis. But two human beings, separated by spatial distance that would require time to breach, can experience an event simultaneously due to some type of non-local connecting principle. One imagines some form of quantum entanglement that keeps them in a common state even when separated by distance that blocks ‘normal’ communication. This quantum entanglement is an aspect of what I mean by self-focus and the heart participates in that act of self-focus or resolution. Moreover it is in a dual relationship – between the vacuum substrate and the macroscopic, ‘outside’ world. This undoubtedly is a composite effect of both distribution of blood and electromagnetic lines of force that emanate from and thread through the heart. The heart must supply glucose to cells of muscles and the brain for consciousness to be sustained on Earth. But iron is the key with 4 Nitrogen atoms in hemoglobin, by which oxygen is carried. The brain needs a constant oxygen supply. Oxygen is needed to convert glucose eventually to ATP molecules. So the heart is synchronized to the way the body supports consciousness. Synchronicity between two hearts separated by real distance has to be accounted for on another basis. However, this dimension of synchronicity had a profound effect on my decision to superimpose the growing geometry over the Astronomical Unit. In this ‘lens’ I wanted to see what geometrical language was spoken by the meter as a proportional measure.
For a very long time astrologers keep placing a ‘coalescence’ of Sun and Moon in the chest as well as behind the eyes in the head. So the conjunction of Sun and Moon is pictured in the thorax, what the Egyptians called the “hatys”. The heart is in the midst and the two lunar breasts are to either side where blood becomes milk. Red becomes white. We think again of the grand unification of the white and red crowns of north and south in ancient Egypt. The neter responsible for their union was Thoth who was at times referred to as “The Heart of Ra.” Note how this entire image below is supported by or rooted in the heart. Also note that when we are looking at a right profile it is the White Crown over the Red Crown. When looking at the left profile it is the Red Crown over the White Crown. The Red was associated with the North and the White with the South. In the Pyramid Texts the Two Crowns were frequently identified with the Eye of Horus as if they were part of the same metamorphosis. The Crown in ancient Egypt had a spiritual significance not unlike the great headdresses of the Aboriginal people of North America.
As we go forward we will just bear this in mind on many levels simultaneously. It doesn’t really matter what one believes. Science is constrained to try and seek evidence even for what we don’t understand. There must be some reason why astrologers for so many years have placed Sun and Moon together in the thorax. And this involves iron because of the chief role played by iron in the transport of oxygen. The Earth’s core is predominantly iron and nickel both of which can have 56 nucleons in their nuclei. 56 nucleons are especially stable. The Earth’s core has been called a self-exciting dynamo. And this self-exciting field extends far beyond the Earth’s surface. So it is passing through all living things, rocks, atmosphere, water and so forth.
When I learned that the Moon was in a squared-circle relationship with the Earth and that it shared a center of mass with the Earth, my attitude changed permanently. When I found that Capra’s ‘nucleon speed’, calculated with the aid of the uncertainty relation, was in the same relationship to the speed of light as the Moon was to the Earth + Moon, namely something like 4.657 for c/64,400, and 16,216/3476 = 4.66 for Earth and Moon, I did not think it was a mere chance event. Rather, I saw it as a resolution that has enabled life to form and develop on the Earth’s surface. Even if we do not completely understand exactly what holds the mass-carriers in their compressed, agitated states where the 64,400 km/s worth of ‘speed’ has become trapped, the proportional relationship between it and the massless constant C (299,792.458 km/s) strikes me as highly significant because squared-circle relations indicate that an internal balance has been struck between two tendencies: massless volatility versus massive, compressed internal agitation. In a star this balance contributes to an overall hydrostatic equilibrium that maintains the shape of the star and its longevity. This hydrostatic equilibrium must also be contributing to the integrity of the solar system as well, remembering that the electromagnetic force falls off also by an inverse square ratio and so weakens quickly. Gravity holds the planets in their orbits. But when we get down to individual atoms at the Earth’s surface, we find that electromagnetic forces are once again powerful and dominate bio-chemical processes. The parameters of these relationships are clearly tight. The margins are narrow. Life is conditioned and for many of us ostensibly quite unfree. For humans, freedom is more a state of balance – the Egyptian Maāt – than it is unrestricted movement or just restlessness for its own sake. Dynamic, cyclic balance holds a more profound key and what I believe I have stumbled upon is the importance of squared-circle dynamics in the establishment of that balance. In that sense, the Great Pyramid with its expression of squared-circle dynamics, could also be called The Stone of Maāt. There is no good reason not to do this. But it could also be called the House of the Benben Stone because of the effects of squared-circle dynamics. We saw in earlier posts that in the canon of proportions squared-circle dynamics have manifested in some important places. One is the adult mouth. The other is the wrists that separate hands from arms. This same dynamic at the Great Pyramid separates square from circle or 280 cubits from 220 cubits, yielding 60 cubits that the builders made into the perimeter of the King’s Chamber. This 60 cubits is 31.416 meters, the meter Lucy Lamy points out was being employed with the royal cubit in the First Dynasties of Egypt. At the Earth’s surface the feeling is that there is a cross-over effect between the strength of gravity and the strength of the electromagnetic force. That is why the Fine Structure Constant is so important. It defines the strength of the electromagnetic interaction at the First Bohr Radius and beyond.
In this image above note that the Earth + Moon is about 16,210 km or 16,210,000 m. I’ll mention again that the average female height in the United States is about 162 cm. It’s the same in Britain. There are different ways to consider the radius of the Earth and Moon. I still see 3474.8 as the Moon’s diameter, but also 3476 km. The radius of the Earth with the same volume as the ellipsoid that has been measured quite carefully with new techniques, is about 6,371 000 meters.
6,371 + 1737.4 = 8108.4
When doubled you have 16,216.8 km. One important factor to recall in all this is that the 1.62 number is also a square number: (4/π)² = (1.2732395) ² = 1.621138. Since 1.2732395 is the squared-circle principle itself, namely 40/31.416 = 1.2732395, it is important to realize that this number 1.62 may well be an effect of the inverse square force of gravity. And it is quite interesting to see that 1.62 m/s² shows up on the Moon’s surface as its surface gravity. I already cited an example of synchronicity between a man and a woman above. Others will have even more spectacular examples to report in their own lives. There is no good reason that the second of time does not act to synchronize spatial states and states of consciousness between distances separated as much as 376,300 km (between surfaces of Moon and Earth). Physicists predict non-local connecting principles over much greater distances than that. Our entanglement with the Moon may be much more than meets the eye. Moreover, terrestrial consciousness may have been entangled with the Moon much longer than we realize. It is probably so deep in our memory that in fact it is trans-racial and even trans-gender. We should go to sophisticated lengths to protect the Moon. At no time should it ever be treated as a garbage dump or be used for target practice. Right now we face one of the greatest tests and greatest opportunities in human history to learn how to set aside all self-destructive tendencies and be sure to treat the Moon with care and precision.
The second and ½ second may be critically synchronized among several factors. For example it’s possible that heart rate is synchronized to ATP production which is synchronized to the way the cell metabolism utilizes glucose in the input of energy that augments the photon strength that is caught and amplified by microtubules in the cell’s centriole. First the microtubules may experience quantum coherence over a geographical region that concerns the center of conscious attention. When a threshold has been reached, the wavefunction may well become unstable such as we find at moments of bifurcation in systems theories. Roger Penrose suggests (1994, 1996) that the internal instability as more mass-energy is engaged in the wavefunction, causes the collapse of the wavefunction via quantum gravity, forcing the wavefunction to choose a particular state over a set of possible states characteristic of quantum wavefunctions. I believe tidal gravity or quantum scale effects of tidal gravity routinely collapse these wavefunctions in such fashion that they generate or encode engrams by which the brain learns, remembers, recalls, and is able to react.
It is well worth remembering that the liver manufactures the glucose but it does not distribute it with regularity and force to the rest of the system. It is the heart that pumps the glucose to all points in the anatomical field that require it. So the fact that this heart circle is centered over the middle of the thorax is quite significant.
Ideal Botanical Angle
When I set to work from several different angles I eventually found that when I set the angle of the upraised arms at the Ideal Botanical Angle within a circle centered over the heart and used an AU that was the Moon x 43,200, in imitation of the scale of the Great Pyramid to the Earth, I found that armspan to be:
150,111,360 x 1.078689 = 161,979,392
If I used an Earth position of 150,338,000 km I could get an upraised armspan of about:
150,338,000 x 1.078689 = 162,168,000 km.
This date corresponded to 1.004947 AU or in 1998, April 21, or 17 days from the mean.
With this armspan I was back to the mean height of a woman in North America and Britain, the square of 4/π, and the Moon’s surface gravity. Within the Prime 2:1 of approximately 75,000,000 x 150,000,000, every other value could be known. But what really mattered was that when I applied the squared circle principle to the arm at this angle, it gave a good approximation of the Earth + Moon at a higher decimal scale. The Earth would be about 127,366,403.8 km or 10,000 x the Earth. This measured out to the wrist just about exactly where we take our pulses. So the very spot where we measure or count our pulse corresponds to the Earth’s surface, or perhaps a shade below it. The Moon’s radius then corresponds to the hand and up to that pulse. Because of this fact, it made complete sense to me that I was supposed to be studying the armspan within a circle placed over the center of the Thoracic Vesica Piscis. The thrust generated by the ratio between the Aortic Arch (with its critical chemoreceptors that communicate through the vagus nerve to the brainstem) and the center of the heart that we use to restart a stopped heart seemed to be determining the ‘ideal’ radius of this “Heart Circle” which also was determining the width within which the Thoracic Vesica Piscis of the male was being inscribed. This was 1.618 ÷ 1.5 = 1.078689 = 2/3 x 1.618. Many roads were leading to 1.078689 including the Solar Plexus/Navel or 1.33333 ÷ 1.236068. One of the beauties of this is reflected in the cross-over equation where musical intervals cross with these illustrious members of the phi-family. It is worth showing the equation:
1.618 ÷ 1.5 = 1.078689 = 1.3333 ÷ 1.236068
So that: 1.618 × 1.236068 = 2 = 1.5 ×1.33333
What has been defined here is the octave which in our Prime 2:1 rectangle corresponds to the Height of the figure. Specifically here it corresponds to the AU for say, April 21, or about 150,338,000 km. In names we might paraphrase:
the aortic arch × the navel = the heart center × the solar plexus.
In the image below 1.078689 is measuring from the center of the heart to points F and E which correspond to the center of each ‘Moon’ circle. So theoretically the hands + wrist are measuring the radius of the Moon which is in a squared-circle relationship with the Earth. Since the Moon wanders off what is left is the Earth’s surface. The wrist imparts considerable mobility and dexterity to the hand. The pulse we feel on the Earth would seem to be a result of a relation between various interacting gravitational influences – both inner and outer. The heart attempts to regulate its pulse while also being flexible within that confluence of gravitational pressures coming from within the Earth and outside the Earth.
1.07868 is also measuring from the ground to the top of the femur heads where they plug into the pelvic bone. From the crown downwards, 1.078689 measures to the base of the male sex organ. Between the two is .15737 which is close to 1/10th of the squared circle with 1.5708 on a side. In any case, this one measure (1.07868) stabilizes walking. It defines male sexuality, it provides the width (here “xz”) within which the male Thoracic Vesica is generated; it defines the proportion for the leg as it joins and supports the pelvis; it is the radius of the Heart Circle that measures the armspan at the Ideal Angle of Botany – which is a spatial effect involving shared light on a common stalk where the sharing divides by the golden number into 137.5° and 222.5°. It will also offer the basis by which we will calculate the width of the male Pelvic Vesica Piscis coming up. All this arises from one position: the center of the chest which, within the Prime 2:1 rectangle, is 1.5 or ¾ of 2, .75 of the Height.
1.078689 also appears with 1.236 in a rather interesting way. Together they form a rectangle that frames the triangular sacrum in the male pelvis. In the image below you can see that 1.078689 is “op”. “on” is 1.236. From LM down to the tip of the coccyx is 1.618 and from ON up, it is 1.618 to the top of the scrum ‘op’. The entire male pelvic complex is framed by an exact 3:2 rectangle, the very same rectangle that frames a Vesica Piscis construction. Note that the tops of the femur heads divide the whole pelvic complex in ½. From the ground to PS is 1.078689 × Unity of the Prime 2:1. In turn QR or PS also divides the sacrum in ½. The femur head comes in at an angle only as far as rectangle ‘opmn’ that frames the triangular sacrum. If the width across the Greater Trochanters of the femurs is 3, the width across the Iliac Crests is 2.618. Their relationship is 1.1459 which is the same as the male Pelvic Vesica Piscis derived from dividing 1.236 by 1.078689. Recall again that the reciprocal of 1.078689 is .927. The reciprocal of .078689 is 12.708, another member of Series E like 927.
The Earth and the Thorax.
There are a few surprises associated with this system of proportions that in fact are quite precise and worth examining now while everything is fresh. Scientists are fairly sure that they now know the boundaries of the solid iron inner core of the Earth and the molten outer core that might be responsible, through movement, for the self-exciting dynamo currents that activate the Earth’s main magnetic field. The heart in some respects – with the lungs – is a child of the Earth’s field. So once the Earth and Moon had been ‘named’ in this Heart Circle, and demarcated at the pulse of the wrist, it made sense to test both the Earth’s cores (inner and outer) and the SCOM circle (about 1700 km below the Earth’s surface) and see where they fell in the two canons. We’ll start with the male because only the male uses a circle of 1.078689 and also establishes the width of the Thoracic Vesica through the same ratio: 1.078689 × Unity.
In this figure above I have highlighted the exact relative size of the Earth’s solid Inner Core once the ‘Earth Measure’ had been established out to the wrists. The Inner Core is thought to have a radius of about 1221 km and a diameter of 2442 km or just over 19% of the Earth’s diameter ( ~ equatorial diameter ÷ 5.236) (here ML). So within our 2:1 archetype above we can easily break down the proportions. The female Thoracic Vesica will be .3333 and we see it in orange passing through the male mouth. The male Thoracic Vesica is .359563 and we see it in blue forming the outside skin of the chest and passes through his nostrils. The inner core is about .32473118 and seems to be just contained by the ribs! The fit is quite remarkable. Recall again that the Earth’s surface here is where wrist and hand meet and where ‘Earth’ and ‘Moon’ are touching. In the metric system the Earth and Moon measures are ‘named’ quite precisely when the arms are lifted up at an angle identical to the Ideal Angle of botany that divides a circle by the golden section. As it turns out the hand is in the same ratio to the whole radius as the Moon is to the Earth + Moon. That ratio is of course the SCM. The radius of this circle is centered in the heart. The hand represents the difference, once again, between circle and square.
Below we see the way the Inner Core fits the female canon. The fit is tighter and simpler. It is as if the solid iron/nickel core were determining the proportion that links Sun and Moon together in the thorax: namely heart (blood) and breasts (milk). The way the inner core fits is so striking, it really does raise questions: about iron; about the term ‘core’; about why the Egyptians kept only the heart in the body after death; about why the Egyptians were so concerned about the dramatic event called “psychostasia” where they depicted the heart being weighed before the Hall of Judgment before the ka was free to move on to other realms. The heart was weighed against the Feather of Maāt which could be summed up as balance between above and below; inside and outside. It could be called truth or truthful speech. It could be called justice and also precision in following the Observances of Maāt as they were called. Are we to conclude from this image that the Inner Core here points to the accomplished truth of the personality; its very core and that everything depends upon what is in the heart?
Note below how the Moon’s circle encompasses knees and hands even as the female hands and arms are, relatively, a little shorter than the male hands and arms. The Earth surface corresponds to the pulse on the wrist. The hands then imitate the Moon. In 29.53 days the Moon travels around the Earth a distance of about 2,610,543 km while in the same time period at the Equator a particle is rotated about 1,186,682.6 km. The relationship between the two is about 2.2. The Sun exerts 2.2 times more inverse square gravity on the Moon than the Earth does and the Moon exerts about 2.18 times more tidal gravity on the Earth’s surface than the Sun does on the Earth’s surface. There are about 2.2 days between the Sidereal Month and Synodical Month. At Chartres, the proportions of the transepts are as 1 to 2.2, or about 61.8 ÷ 28. The ratio between the Moon’s Vc (Circular Velocity) around the Earth and a particle rotating at the Earth’s equator is 2.2. The mean speed of all terrestrial electrons is about 1,000 km/s and at the First Bohr Radius it is about 2,188 as determined by the Fine Structure Constant. Their relationship is 1:2.188.
In the image above I highlighted the Thoracic Vesica and Pelvic Vesica, not the Earth’s Outer Core. I widened the Earth Circle to the hand and then marked it with a white line to highlight the hands. The pulse is between the white line and the hand. I have indicated the orbits of Mercury, Venus and Earth/Moon. The Venus orbit seems to support the diaphragm and gets under the heart. Curiously it is venous pressure that causes the blood to return to the heart and 1/4th of it returns by volume to the liver first via a specialized portal vein that extracts nutrients from the small intestine through the capillaries. When the liver has worked these nutrients it then sends the blood to the heart. The liver is highly vascular. It is in the Solar Plexus region and recall that the center of the heart × the solar plexus = 2 or 1.5 × 1.3333 = 2 and 1.618 × 1.236 = 2. In music, the Major 4th × the Major 5th = 2, the octave.
Below we see the Inner Core and Outer Core together. The total diameter is about 6962 km with a radius from the center of the Earth of about 3481 which is a mere 5 km larger than the Moon’s Diameter. So 2 Moon’s fit next to each other in the Inner/Outer Core complex, thought to be predominantly iron and nickel and constitutes around 54.63% of the Earth’s diameter (12,742 km).
It is an interesting observation that this Outer Core Circle cuts off the crown of the skull a little above the hairline. This suggests the way the Egyptians (and even the Gothic Period with Saint Remy at Reims Cathedral in France), excised the crown of the skull though they cut more deeply than this. Presumably they then made an offering of it to God. It was as if they were answering the age-old ‘grail’ question: “Who or what do you serve with the Grail?” Now, in the brain everything is inverted. The feet and legs and hands and mouth are all upside down along the Rolandic Fissure in the cerebral cortex. They are motor-sensory termination points. They have to be there because they retain specialized engrams that pertain to specific activities that will involve hands, wrists, feet, legs, and so forth. Where this crown has been excised suggests that the individual is not living for his or her own will. Everything they do is in the service of the Divine Will. In this sense one could argue that our civilization is the exact inversion of the ancient Egyptian Way. Nothing was Luciferian; nothing was rebellion. This may also indicate a state of Grace; a spiritual state whereby the individual had been physically ‘dead’, paralyzed, crucified, and then subsequently spiritually liberated through the conservation of energy normally engaged in our most prized motor-sensory activities. In the Pyramid Texts we read all the time about the stoppage of these activities. That energy is conserved and augments and strengthens the energy in the Broad Hall, Cavern of Osiris, Cavern of Sokar, etc. Yoga is often a first step toward this type of inhibition and stoppage of mind, motor-sensory, restlessness, trivia, etc. The energy can then be used to amplify and build spiritual potential capable of opening higher centers. Note too, that the same Outer Core Circle marks the base of the sacrum, the very bone thought to contain the extra energy of the Goddess Kundalini that male initiation practices very much wish to raise up from the ‘wilderness’ within which it is enclosed. The initial awakening or stirring of the kundalini is a lot like awakening the Medusa from a deep sleep. There is a point of terror where one truly wishes the path had not been embarked upon at all! However, once awake, there is no turning back and one must muster the courage to swallow the consequences of the gift of that extra measure of pristine force. If it progresses naturally the Medusa will transform into the most beautiful of all things – a beauty overflowing with surprise.
Note below how the OC neatly contains two Moons. The contours of the
upraised shoulder muscles precisely follow the top curvature of both circles. The Inner Core appears to support the shoulders and arms while the ‘Outer Core” appears to move them as if like ball-bearings around the Inner Core. Note also that if the 1.078689 width contains the male Thoracic Vesica, the Outer Core is contained by about .926 which is Unity ÷ 1.07991.
SCOM Circle and Golden Rectangle.
In this figure below I have put in the Shared-Center-of –Mass Circle (SCOM). According to this system of proportions it has a diameter that is identical to the width of the Prime golden rectangle, which brings us full circle. We are all the way back to where I started in 1985, with two rectangles: the Prime 2:1 and its cousin 2 × 1.236. The SCOM Circle is set at about 73% of the Earth’s Diameter with a mean separation between centers of mass of Earth and Moon set at 384,401 km. Note the value of the Fine Structure Constant: it is 1/137 or ~ .0073.
Moreover, note below that 73 appears in Line 1 at Column VIII. 8472 is in Line 4 next to 5236 and next to 8472 is 13708, the reciprocal of 73 and both describing the value of the Fine Structure Constant. The royal cubit as a spatial measure seems to be related to the Fine Structure Constant via the square of the golden number or 2.618.
In the male canon this upraised armspan that gives the metric measure of Earth + Moon (for AU of 150,338,000 km) has a relative radius of 1.078689 × Unity. When we divide this the way Earth and Moon divide we have about .8472 (Column XV, Line 4) and .23148 for the male. This is a bit large for the female. We get the relative proportion of the SCOM Circle by taking 73% of .8472 = .618456 (Line 2, Column XI). When doubled this gives 1.236912 (Line 4, Column XI). What is remarkable about this is when we consider how many synodical months there are in ½ the year, or the semi-circle of the Earth+Moon orbit. It is 182.6211 ÷ 29.53066 = 6.184118. One feels that this proportion that links 73% to 6.184118 implicates the SCOM circle in the process of gestation. There are 12.3682369 synodical months in the year. 73% of that is 9.02 which is about 266.6 days. The average number of days for human gestation is usually given as 266. Gestation is an internal process and we have seen that it is internalized within the Pelvic Vesica Piscis, the same shape we see Christ framed by at Chartres. The two circles that overlap to create the female Pelvic Vesica are contained within the Golden Rectangle with width 1.236. Clearly the proportion of the SCOM circle must be playing an internal role in stimulating a cycle of gravitational pressure variation that converges at the Earth’s surface so that external gravity and internal gravity interact.
The Earth’s surface is acting like a gigantic spherical drum. It is as if we are all born from that drum. It is continuously undulating. Perhaps it could be called an ellipsoidal tympanic undulation. And this undulation proceeds in cyclic waves governed by constantly changing relations among Earth, Moon and Sun. Tidal variation cycles are particularly strong and generate particularly ‘affective’ waves that stimulate everything on Earth. There is no depth, no position, no proportional situation that could exceed the harmony suggested by the location of the Earth/Moon SCOM below the Earth’s surface so that it occupies about 73% of the whole diameter. I also think that the ratio of 1:100 with the value of the Fine Structure Constant is probably not a meaningless coincidence. Particularly striking about these harmonies is the way decimal relations dovetail with the preponderance of the golden proportion. The names of the numbers remain. What changes are the numbers of zeros to the right of the name. The meter is a decimal measure. It is taking the value of the squared-Earth-circle and dividing it by the decimal function (namely 10,000,000 for the side of the square).
The SCOM circle is the same circle that is divided by 3 to obtain the width of the female Pelvic Vesica Piscis! The relationship between the SCOM Circle and the male Pelvic Vesica is found through the value 1.078689 which measures the armspan in the position of the Ideal Angle giving the golden number in the AU Canon (namely 150,000,000 × 1.078689 = 161,800,000 km) , and also the width within which the male Thoracic Vesica is constructed! This is a highly unifying ratio as we have been seeing, but here we see that:
Male Pelvic Vesica = (SCOM ÷ 1.078689)/3
This amounts to inscribing the Pelvic Vesica of the male within 1.236 ÷ 1.078689 = 1.14583536. Another way to put this is just as interesting. The Vesica width itself is simply 1.236 divided by twice the golden number or 1.236 ÷ 3.236 = .381966 or ~.382. .382 is 1 ÷ 2.618. We just saw 1.14583 earlier in the proportions of the Pelvic Complex. Across the Greater Trochanters is 3 and across the lateral edges of the Iliac crests is 2.618. 3/2.618 = 1.1459. The height is 2. When this number, 1.1459 is divided by 3 we get .382 of Unity for the hips compared to the female .412. I repeat, .382 is Unity divided by the square of the golden number or 2.618. The golden number and its family shape function, efficiency and beauty. The golden number is not just a division. It is not static. It is the consequence of growth which is under pressure from the environment and from within. It is subject to gravitational pressure variation cycles. The result is a dynamic, adaptable pattern of reactions through which consciousness accumulates experience.
In the female there is a coincidence between the SCOM circle shown here as RS and several things at once. Note the joyful beauty that seems to arise so simply from the Aortic Arch (at IJ). This corresponds to the golden number measured
from the ground but also the top of the SCOM circle when it is centered over the midpoint or pubic bone instead of over the heart. It takes on special significance when placed over the midpoint of the body. The top of this circle of course exactly coincides with the golden number. The arms proper rise up from this golden number position. So you have golden number (1.618) and golden section (1.236 = RS) working together and meeting at the top of the heart – the Aortic Arch on line IJ. I repeat, the Aortic Arch is the top of the aorta. It is under a lot of pressure. It has chemoreceptors that send information back to the brainstem to inform the CNS of the state of the blood. The recurrent laryngeal nerve also wraps around the Aortic Arch as if adhering to an ancient history whereby the state of the heart and speech are united. I often catch myself ‘talking from my heart’. I have little consciousness of talking from my head. The heart seems to shape my words almost like a large voice box that pumps out words and sentences – what the ancient Egyptians referred to as “Words of Power”. Of course this also involves the lungs. The Vagus Nerve (n.10) is dominant in linking these central functions to the brainstem. But whereas I am highly aware of the role of heart, lungs, throat and tongue in driving words, I have no awareness whatsoever of the brain and its motor drive in shaping or originating words. It all seems hidden in the head as if the head were the most occult of all places not unlike the ancient conception and function of the Holy of Holies. This is one reason why I used the golden number to situate the ‘head of Atum’ inside the Great Pyramid as if it itself were the ’cause’ of the Pyramid and the means by which the Great Ennead of Egypt fashioned man in the image of Atum-Ra.
As echoed in Plato’s Timaeus, the head is the means by which man is made in that likeness. What is great about the Great Pyramid is to see how it links head to heart with this scheme. Recall the Hebrew “David” meant “Beloved of God: he who has linked his head to his heart”. In the image above, the Subterranean Chamber corresponds to the point where the Common Carotid artery departs the Aortic Arch. The Common Carotid Artery will nourish the head and brain with blood. On another level, linking head to heart refers to an advanced spiritual state that involves a metamorphosis of the ka, or double.
Note also how the Pelvic Vesica Piscis is involved in shaping the Greater Trochanters of the femurs. The curvature of the Vesica determines the relationship between the femurs and the Iliacs. The mouth of the Pelvic Vesica nearly coincides with the center of the Solar Plexus in the female (1.3333) and exactly coincides with it in the case of the male! This is the midpoint between the kidneys and is also the midpoint of the abdominal circle that had once been the short length of the Prime Golden Section (.764 out of 2).
The breasts and heart are wholly contained within the SCOM circle as well as most of the Earth’s Inner Core when it is placed in this fashion. In the woman, the Pelvic Vesica and womb seem to be perfectly integrated with the entire Thoracic Complex that does not depart from Unity. The more you look at his image the more joyful it makes you feel. Moreover, the Thoracic Vesica Piscis falls right on the mouth, whereas with the male it falls on the nostrils as if inviting advanced, highly directed yoga. One imagines that the woman might do yoga for quite different reasons. But the most impressive feature of all, when the SCOM circle is placed over the pubic bone, it that it coincides with the width within which the Pelvic Vesica Piscis is defined. It is inside this Vesica that we are all gestated in 9 Synodical Months or ~ 266 days.
In the image above I have also noted one more point of unity in the female canon. Her hand appears to be exactly coincident with the span from mouth-to-vertex, which also seems to be the full height of the heart and this proportion corresponds to the SCM – identical to the 31.416 meter difference at the top of the Great Pyramid and the proportional relationship between the Capra nucleon speed and the speed of light in the vacuum.
It seems that the woman is less likely to exceed the 1.03 armspan than the male. I have kept the maximum Heart Circle here for comparative reasons. Like the navel there is likely an oscillation between male and female which oscillates around the exact .618034 in the case of the navel and between 1 and 1.0472 in the case of the armspan. The female tends to be around .625 and the male around .605 for the navel. It is likely the same with the arms and one must go individual by individual. The SCOM Circle itself would appear to be following a principle. But if so I stumbled upon it by accident. The accident occurred when attempting to understand what proportion might guide the male arms and hands besides just a tendency to do rougher labor work. I was imagining a conservation law within the Prime construction 2:1 + 2:1.236. The final constraints are 2 and 1.236 which relate as 1.618, the limit of all Fibonacci series. It is a natural, if wonderful, occurrence. If the female program is first and if the pelvic region must dominate for all of humanity to be born into the world, then by a conservation law, energy will be taken from some other areas. And if the male must develop higher speed and longer hands and arms with wider chest and bigger lungs, then energy will be taken from his pelvic region which will swivel less and be more stream-lined. At the same time, being more compact it may be that it concentrates energy in the sacrum and stores it up like a reserve. This inner Yin energy then beckons. It longs to be released from its dark, deep prison. Some men must descend into their own darkness to release ‘Persephone from the grip of Hades’.
The sense of descent in the sacrum is very pronounced. And once one enters the Pelvic Box the descent goes down to 1.618 of 2 (from ‘LM’ down to ‘nm’). The symbolism is quite remarkable. The heroes of many a myth – including that of Christianity – must descend into hell in order to be reborn. You have Lucifer; you have Orpheus; you have Theseus; you have Christ; you have Jonah. All must descend into the dark ‘house of yin’; house of Hades; “hell”, “purgatory”, the “Chaos”, etc. At the point of the Golden Number a conversion takes place. With increased confinement, the energy must accelerate and demands release. The Genie begs to be released from the V-shaped bottle! Really ‘Seth’ becomes ‘Horus’. ‘Lucifer’ converts to, or transforms into, ‘Christ’, etc. It is the two poles of one individual that undergoes the conversion. From deepest despair, alienation and a feeling of having been totally forsaken, one is resurrected to a state of exaltation. One is knocked down onto the ground – helplessly glued to the black earth. And then one is miraculously ‘raised’ back up again by unseen hands and experiences a great expansion of being. When this experience occurs in a dream it feels ‘religious’, ‘numinous’. It is impossible to convey because most of us only know the qualities from the outside. When you experience it from the inside everything changes. You see everything differently quite as if you were seeing ‘quantum effects’ directly, not merely reflected in macroscopic appearances. Nothing gets easier, really, but things just feel right at last. You discover that you yourself are the central drama of the self. This of course makes it more difficult to lean on outside illusions, but it can make one feel more isolated. You find you speak a language different from others when you feel it should not be different.
I’m quite surprised that so much triumphant joy would rise up from this image. This was not intended. I only intended to find the principles that delineated the differences between male and female forms. Her joy seems to be rooted in what is ‘right’. And what is ‘right’ has here been determined solely by the geometrical interactions that took me from 1985 to 2006 to find. Note how the SCOM Circle links the inner pyramid with ½-base equal to 1.5708 to the 2:1 rectangle with dimensions 1.618 x 3.236. 1.618/1.5708 = 1.03005. This is a good mean horizontal armspan for females. The radius of the SCOM circle reaches up to 1.618 but it is exactly contained within the 1.5708 pyramid. Its top or outlet coincides with the Aortic Arch of the heart. This is the root of the blood vessels that will cause the arms and hands to grow!