• the proximity principle •

vertical & horizontal hexagrammal pairs

*Author’s Note*
*All posts by m1thr0s at this site are amended articles extracted from a much bigger work-in-progress that will be defining Mutational Alchemy in all of its diverse principles and applications.  Since there is a great deal to this topic which is months away from completion, certain of its tenets deemed as standalone topics are being allowed to run ahead of the finished book. No responsible theoretician would ever imagine himself to be the only one pioneering important new insights all by himself so that where certain breakthroughs strike me as vital to the overall discussion at hand, these will occasionally find themselves posted as independent articles. This should serve several purposes at once, creating interest in the larger work on the one hand while facilitating a sense of fellowship with other like pioneers at the same time.

One of the most central tasks of Mutational Alchemy has been aligning the 32 hexagrammal pairs of the Yi Jing (aka I Ching) to the 32 Sephiroth and Paths of the Qabbalistic Tree of Life. While the Yi Jing consists of 64 binary hexagrams in total, the convention (since the time of the King Wen arrangement) has been to group them together in 32 balanced pairs. The majority of these balanced pairs are referred to as vertical pairs (or inverted pairs), indicating that the  second hexagram is exactly the same as the first one, turned 180 degrees on its head.  In cases where the second hexagram produces the exact same hexagram as the first, the convention has been to resort to horizontal pairs (or lateral pairs) where each line of the second hexagram is the polar opposite of that same line in the first one. In this way all of the hexagrams 1-64 can be reduced to 32 balanced pairs of one type or the other, without omissions or duplications of any kind.

The reason we would like to be able to do this stems from two most apparent observations regarding both of these metaphysical systems viewed as a natural syncretic fusion. In the first instance there has always existed the general doctrine of balancing opposites within the Tree of Life itself as the recommended methodology of maintaining a kind of peak efficiency therein but also as a means of increasing our ability to receive and transmit mind and matter energy by way of calculated wave-cancellations achieving a type of zeroing effect thought to be essential to the alchemical levity principle. According to this doctrine (asserted both east and west) we are able to experience ethereal ascension (and everything that this entails) by means of balancing opposites in some deliberate way. Thus, by degree, we are able to liberate the Tree of Life from all of those constraints that clog its circuitry or drag against it continuously. Make no mistake about this. The Tree of Life suffers relentless assaults in this world left unattended. Take good care of your Tree and it will take good care of you. Abandon it and all bets are off.

Drawing upon focused intention we are able to align the Tree of Life as a whole in accordance to the Divine Will of Kether (Crown) from the lowest planes to the loftiest plateaus. Since Mutational Alchemy has evolved a method of simulating hexagrammal structures as a controlled visualization exercise, the 32 balanced pairs of the Yi Jing amount to a perfect template for achieving this dynamic balancing of opposites. That the Yi Jing is built upon the same mathematical matrix as the DNA code itself means we have a very high level of confidence in its intrinsic application to life in all its forms, from the lowliest little mushroom to Albert Einstein and beyond. But how can we know which hexagrammal pairs are best suited to the various coordinates within the Tree of Life?  While it is possible to identify several discreet numerical chronologies within the 64 binary hexagrams, the Tree of Life offers us no such ordering mechanism until the Proximity Principle is finally invoked.

the ten sephiroth
figure #1 – the ten sephiroth

Figure #1:  In order to understand how and why the Proximity Principle works as perfectly as it does we need to first run through a very basic primer on the qabbalistic Tree of Life. We begin from the ten sephiroth commonly referred to as the ten vessels or the ten emanations of Ain Soph Aur, or the Limitless Light from which all things originate and are thought to return eventually. There is much which can be said of how these ten sephiroth came to be but what most concerns us here is that they are identified as enumerations (or numbers). By default, this means that in qabbalistic thinking numbers are the highest expression of mind and matter. They are the purest language we can turn to in unravelling the mysteries of Life in its infinite diversity and are thus our surest guide to Truth as well. Numbers allow us to scrutinize the whole of creation without assuming anything with respect to God or some other imagined Creator operating  behind the curtain as it were. Numbers do not tell why things are as they are since they chiefly attend to the what but in many cases the why can be gleaned logically on the basis of  rational necessity laid down in the numbers.

Not included in Figure #1 are the topological constances of  Ain Soph Aur or its antapex counterpoint Daath which positions between sephiras 3 and 4 on the Tree of Life schematic.  That’s because neither of these epicenters are regarded as vessels per se, nor even emanationsbut are hidden (even from the hidden) and have never been considered to be sephiroth in themselves. Their roles are paramount in all cases but their properties are set apart from the Sephiroth and Paths.  We approach them somewhat differently than sephiroth and paths accordingly.

the lightning bolt
figure #2 – the lightning bolt

Figure #2:  illustrates the ten sephiroth superimposed by what is typically referred to as the lightning bolt. There are two kinds of lightning bolt descending from Kether (Sephira #1, Crown) generally conforming to the principles of Yin and Yang of which the one displayed here is the dominant, Yang bolt. There are numerous ways to analyze the lightning bolts but for our purpose at this time the important point to observe is that it establishes the chronology of the ten sephiroth from one to ten. Chronology is the science of arranging events in their order of occurrence in time, so the lightning bolt is giving us our timeline while the sephiroth are the discreet events occurring along that timeline.  The lightning bolt is also coordinating space since it begins from an above beginning (or alpha) location and concludes at a below (or omega) one. In all, we have a coherent Heaven Descending chronology established which coincidentally adheres to a 4:4 timing making it especially robust in terms of visualization applications.

That the chronological ordering of the ten sephiroth is entirely coherent means that we can implement that standard uniformly across the Tree of Life Paths as well. Exactly why this seems to have never been done before is something I have no explanation for but this is a good time to point out that the qabbalistic Tree of Life is an ongoing work in progress with numerous competing fractions attacking it from both similar and dissimilar points of view. Nor is linear chronology the only possible standard for us to build upon, but it is at least one standard that can be applied correctly without resorting to ambiguous subjective rationalizations.

the 22 manifest paths
figure #3 – the 22 manifest paths

Figure #3:  illustrates the dominant Tree of Life today with its 22 manifest paths, but there are more than one Tree of Life in circulation and there have been some pretty smart people proclaiming some terribly inaccurate models, apparently unable to ascertain the gaping holes in their own logic. The Tree of Life is a perennial theme across many cultures over very long spans of time. I will explain the importance of the arrows in a moment.

Mutational Alchemy has a distinct advantage over other models by virtue of having an actual physics brewing at the heart of everything. That raises the bar by more than just a notch or two and forces us to go where others may have feared to go in foregone epochs.  But the Tree of Life has become a compendium of half-logics over time where the standards being adhered to are lacking any respectable system of checks and balances, so people can assert just about anything and no one can correct them except to say that it does (or does not) agree with some other half-baked assertion.  Mutational Alchemy confines itself to falsifiable truth as much as humanly possible and this allows us a very different approach than we see in most other models.

the 16 hidden paths
figure #4 – the 16 hidden paths

Figure #4:  displays the 16 hidden paths  which ought to have garnered a great deal more attention than they have by now. The 16 hidden paths (aka the hidden diamond) define all those pathways not accounted for in the 22 manifest paths system. There are many characteristics of the hidden diamond that make it vital to any serious discussion of the inner workings of the Tree of Life. I am including it here as a kind of rebuttal of the Lurianic Tree of Life arrangement as well as various other arrangements that may assert a different ordering of paths without considering the stunning uniformity of the Hidden Diamond taken as a whole. In point of fact it has hardly been observed at all – an omission which (once again) leaves us dealing only in half-truths with respect to Tree of Life analytics. In Mutational Alchemy, the Hidden Diamond is accounted for via the 16 binary tetragrams which more-or-less parallel the so-called 16 geomantic figures (popular with medieval kabbalists) but for certain alchemical errors found rampant within that historical doctrine and methodology.  Another term for the 16 binary tetragrams is Tetragrammaton, since that is exactly what they amount to. How or why this could be so adamantly disregarded for so long is anyone’s best guess but it should serve as a reminder to us all how much work has been left unattended with respect to the Tree of Life.

the 48 sephiroth & paths
figure #5 – the 48 sephiroth & paths

Figure #5:  simply combines figures #3 & #4 to clarify the totality of Tree of Life paths available to us. It is always a good practise to take stock of all available possibilities and resources when embarking on a project involving any sort of alchemical distillation.  This allows us to be reasonably confident that we have not omitted anything vital to our final calculations, or if anything is omitted, that it can be accounted for on some coherent basis. If we were creating a map of any geological terrain, we might leave out underground water tables for instance, reserving that for a different kind of map altogether. In many respects the type of map we are dealing with in the Tree of Life is even simpler than the geological map would be, despite it being infinitely more important.

So at this point we should easily recognize that we are looking at 10 Sephiroth and a grand total of 38 linear paths, 22 of which can be deemed emanative or manifest + 16 secretive or hidden. The so-called Proximity Principle should (if we needed it to) be able to tell us the proper chronological order of either all or some of these linear pathways; which ever we choose to emphasize. As we will see, it does exactly that…

numbered sephiroth & paths
figure #6 – numbered sephiroth & paths

Figure #6:  Probably the first thing to be observed here is that this really isn’t very complicated. The only complication going on with this rationale is how so many reasonably intelligent and informed people seem to have altogether missed it, or else grossly underestimated the cost of downplaying it.

RULE: The closer the numerical proximity sephira to sephira, the smaller the path number.
Inversely: The further the numerical proximity sephira to sephira, the larger the path number.
Note: Since the Sephiroth 1-10 precede the Paths, our first path begins at #11:

◉Starting from Sephira #1: Three unclaimed manifest paths  (1–2, 1–3, 1–6)
◉sephira 1–2 = path #11  |  ◉sephira 1–3 = path #12  |  ◉sephira 1–6 = path #13

◉Starting from Sephira #2: Three unclaimed manifest paths  (2–3, 2–4, 2–6)
◉sephira 2–3 = path #14  |  ◉sephira 2–4 = path #15  |  ◉sephira 2–6 = path #16

◉Starting from Sephira #3: Two unclaimed manifest paths  (3–5, 3–6)
◉sephira 3–5 = path #17  |  ◉sephira 3–6 = path #18

◉Starting from Sephira #4: Three unclaimed manifest paths  (4–5, 4–6, 4–7)
◉sephira 4–5 = path #19  |  ◉sephira 4–6 = path #20  |  ◉sephira 4–7 = path #21

◉Starting from Sephira #5: Two unclaimed manifest paths  (5–6, 5–8)
◉sephira 5–6 = path #22  |  ◉sephira 5–8 = path #23

◉Starting from Sephira #6: Three unclaimed manifest paths  (6–7, 6–8, 6–9)
◉sephira 6–7 = path #24  |  ◉sephira 6–8 = path #25  |  ◉sephira 6–9 = path #26

◉Starting from Sephira #7: Three unclaimed manifest paths  (7–8, 7–9, 7–10)
◉sephira 7–8 = path #27  |  ◉sephira 7–9 = path #28  |  ◉sephira 7–10 = path #29

◉Starting from Sephira #8: Two unclaimed manifest paths  (8–9, 8–10)
◉sephira 8–9 = path #30  |  ◉sephira 8–10 = path #31

◉Starting from Sephira #9: One unclaimed manifest path  (9–10)
◉sephira 9–10 = path #32

That is the short and long of the Proximity Principle!  It is not a complicated rule of thumb in itself. It is both strong and irrefutable if we are going to base our path numerations on rational chronological ordering. Mutational Alchemy can do this without any hesitation inasmuch as it aspires to a falsifiable truth in all cases and is not beholden to any hand-me-down doctrines requiring of us to blindly acquiesce on the basis of faith alone. The Proximity Principle  affords us the ability to chronologically align the 32 hexagrammal pairs of the Yi Jing to the 32 Sephiroth and Paths of the qabbalistic Tree of Life with a high degree of confidence, complete with an inscrutable (internal) checks & balances. That confidence cannot be shattered by any rational criticisms I have ever been able to identify in the nearly 40 years I have been closely monitoring this state-of-the-art alchemical thesis.

22 hebrew letters
figure #7 – 22 hebrew letters

Figure #7:  demonstrates the logical placement of the 22 letters of the Hebrew alphabet in coordinated alliance with the Proximity Principle. Eliphas Levi is often credited as the first occult scholar to have made this connection, which was later picked up and expounded upon by certain members of the Golden Dawn. In the Hebrew language, letters double as numbers and are assigned composite personality profiles as well as an odd assortment of alchemical attributions. There are at least two kinds of chronological orderings for us to be aware of which are very different from each other. The first type of chronology is empirical where events along a timeline are fundamentally objective, such as occurs with numbers. The second type of chronology is consensual  where events along a timeline are fundamentally subjective, and are thus more volatile and subject to change at any time. We can still make use of consensual chronologies but are much less able to rely upon them accordingly.

alchemical attributions
figure #8 – alchemical attributions

Figure #8:  catalogues the conventional alchemical assignments we find in practice at the time of this writing, in concert with the Proximity Principle such that their exact positionings are unique to this methodology and subject to change at a moment’s notice.  Here again, we can assimilate these kinds of orderings, but cannot rely upon them to be especially enduring. We even find multiple variations of these assignments asserted by the same author at different periods of their lives, so we can extrapolate from this that all such assertions are highly volatile by their natures, the crux of which is rooted in their consensual constitutions. The hexagrammal fields system asserted under Mutational Alchemy are of the empirical kind and are thus highly stable with the passing of time.  I am not listing those assigments here at this time but rather reserving that for another article and/or articles.

adjusted thoth assignments
figure #9 – adjusted thoth assignments

Figure #9:  demonstrates the effect of the Proximity Principle on the Book of Thoth tarot system created by Aleister Crowley and illustrated by Lady Frieda Harris. Crowley introduces a few changes of his own in that undertaking but still leaves the matter of positioning dangling precariously without adjustment, apparently oblivious of the fact that a rather serious problem exists here. In general, issues of this sort do not get addressed until we hit a crisis of some kind forcing their resolution. Mutational Alchemy can tackle this problem better than anyone else to date, simply because we need to know where each of these 32 balanced hexagrammal pairs belong with respect to the Tree of Life. Were there no particular need to resolve this technical issue it would probably go unchecked for another thousand years or more. Fortunately this particular need does exist so that this problem has now been identified and corrected. It may still take awhile for most people to become aware of the matter at all, but when they do they will be pleased to know that it has been thoroughly studied and spectacularly resolved.

note: where certain card positions have changed it is because they link to certain Hebrew Letters, so it is these letter/number assignments that is correcting their positions. Liber Al vel Legis (aka the Book of the Law) addresses Thoth assignments at one point in one small passage. It only addresses letter/image assignments and says nothing regarding positions. Book of Thoth enthusiasts will be pleased to know that Mutational Alchemy has not altered ANY of these letter/image assignments but where the Proximity Principle has repositioned a few letter/number values, the Book of Thoth positions have also changed. Everything follows on the numbers in this system.

m1thr0s / abrahadabra institute
questions: m1thr0s729@gmail.com