FOREWARD
"Jung suggested coining the term 'synchronicity,' so that certain aspects of reality which are not included in the causal description of nature can be interpreted as synchronistic events without the necessity of regressing into an archaic form of magical-causal thinking.  Similarly, it seems to me desirable to introduce a new qualitative concept of number to complement our hitherto prevailing quantitative number concept, without falling back into magical-numerological speculation on this account. . .Mythological images and numbers have always been associated with each other."
                                                       M. L. von Franz, Number and Time
 

ABSTRACT:  Syndex II is about the processs of discovering synergetic, rhythmic symmetries on a graphic enspiralment called Synchrograph C.  On this number wheel, the natural numbers are spiralled 60 times around a radial array of 108 increments to the number 6480.  Contemplating the C-graph over the years has produced several revelations, including the following Holotomic Sequence, (12, 24, 72, 360, 2520, 27720, 360360, 6126120, etc.) created by prime number multiplexing, and the exemplary 9/11 wavecycle, discovered by Bob Marshall.

This book is not about number mysticism, or numerology.  No occult theory of numbers is presented, no cosmic code of alien descent, no ideologies.  Rather, it outlines the history of numbers and writing and the ancient science of astronomical measurements.  Classical cultures are characterized by certain general basic ideas, of which metrology is foremost.  We show why certain cultures considered certain numbers "divine," and why we should turn our attention to them in modern times.

Most of these numbers seem to have originated in Sumerian culture and are the result of geodesic and cosmological measurements (such as the Precession of the Equinoxes) discovered thousands of years ago, in the mists of prehistory.  These numbers are important in certain inherent rhythms in the base-10 system of numeration.  These synergetic qualities have hitherto remained unnoticed in classical number theory.
 
 



In antiquity, knowledge of an alphanumerical canon spread throughout the Middle East, to Greece and India, back to the Moslem Empire, and from there into medieval Europe to catalyze the Renaissance.   India raised mathematics to a high art, and the most revered of numbers was 108, the number of OM and the Universe, the number of Brahma.

This number formed the basis of the Ages and Yugas, which are all multiples of this sacred numberword.  Yugas include 432, 864, 1296, 1728 and add to 4320.  Ages include 648, 1296, 1944, 2592 and add to 6480.

108 is itself  3 x 36--part of the Sumerian sar, 3600, also dubbed the number of the Universe, a unit of Divine Time, a year of the gods (3,600 earth-years).  The number of zeros tacked on the end of these cosmological numbers is almost irrelevant, and merely emphasizes their vast importance.

Inasmuch as 108 is 3 x 36 and both systems mutually include the square of 36 (1296), it becomes evident that the classic 360 degree circular unity is the common denominator of these separate systems (360 degrees of 60 minutes or 3600 seconds each).

According to Neugebauer (1952), "the division of the circumference of a circle into 360 parts originated in Babylonian astronomy of the last centuries B.C.  The sexagesimal number system as such is many centuries older and has nothing to do with astronomical concepts."

However, in a far newer work, Sumerian scholar Zecharia Sitchen (1993) differs in opinion, attributing both mathematical astronomy and  360 circular unity to the Sumerians, based on his own cuneiform translations.  He also refers to "the role that the key number 12 played in Sumerian science," and the "celestial 72," which comes from the precessional shift of 1 degree.  He notes that 120 sars equals 432,000 earth-years.  This is the number of the Great Yuga.

On Synchrograph C all the numbers that represent the two Hindu astrocalendaric systems fall in the same zero axis.  The sum of the Yugas falls at 2/3 of this axis.  6480 divided by 3 = 2160, the Platonic Month:  12 x 2160 = 25920, Platonic Year.

Contemplating the  C-Graph led Marshall to deduce Sumerian origins for the holotomic sequence of circular unities, and the source of ancient Hindu cosmology.  The Yugas fall in perfect tertiary symmetry, while the Ages assume a perfect quadratic symmetry.

The Yugas can be generated as 36 x 12 = 432; 36 x 24 = 864; 36 x 36 = 1296; 36 x 48 = 1728.  Likewise, the Ages: 18 x 36 = 648; 36 x 36 = 1296; 54 x 36 = 1944; 36 x 72 = 2592.

360 is divisible by all eight base digits except prime number 7.  To include 7 as a divisor, the prime circular module must be raised to 2520, the Auric Key, and smallest number to accomodate the greatest amount of factors of division, the lowest number divisible by all base digits.

The key to Sumerian metrology is not as simple as the sexigesimal 6 x 60 = 360.  Even in Sumeria, the sexigesimal system (60-division) was only applied in strictly mathematical and astronomical contexts.  The sexagesimal numerical system had a decimal substratum (36 x 10 = 360).  In other matters they used 24-division, 12-division, 10-division, and 2-division.

The real key involves the sequence in which prime numbers naturally occur in the baseten continuum.  This is demonstated by multipling the third and fourth Holotomes together: 72 x 360 = 25920, a number given for the Precession of the Equinoxes in Sumerian cuneiform records.  This number relates directly to Yugas and Ages.


              72 x 36 = 25920 divided by 2 = 12960; divided by 3 = 8640
by 4 = 6480; by 6 = 4320
72 + 360 = 432

Contemplation of the numberwheel 108 discloses the complete menagery of "sacred numbers."  864 is 12 x 72, holotomes A and C; 1728 is 24 x 72, holotomes B and C.
Both systems share 362  = 1296.

The key numbers of ancient metrology and the Holotomic Sequence are found in positions that issue a perfect symmetry (such as the quadratic array of the four-digit palindromic sequence: 1881, 2772, 3663, 4554) where only chaos exists in classical number theory.  Nature's behaviors coincide with the most crucial divisions of the synergetic continuum of baseten number.

Prime numbers figured prominently in metrological and numerical canons of ancient times, a system of interlinked measures, numeration, astronomical cycles, and geodetic standards.  They also figure prominently in the graphic symmetries of synchrographics and the wavecycles of numeronomy.  The same functioning of prime numbers in whole increments is still the principle basis for describing nature's transformations in synergetics.

Jung asserted that number forms the particular element which unites the realms of psyche and matter.  It is real in an archetypal, qualitative sense and a quantitative sense, uniting the imaginal and physically knowable.  The psychic dynamics of the concept of number appear archetypally as its "transgressive" aspect in the realm of matter.  Numbers above the threshold of consciousness appear as quantitative discontinuities and qualitative individual numbers.  But according to the Jungians, in the unconscious they interpermeate and overlap participating in the one continuum that runs through them all.  Thus, we find certain synchronicities in the Syndex numberwheel mandalas, creating metaphysical and empirical harmonies.

Certain authentic mathematical structures can originate in the unconscious even though Western number theory has traditionally followed a very different path.


: Robert Marshall, Master Numeronomist  Iona Miller
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Created 7/10/99
Last Updated 10/19/99

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