"Truths that we already know become not more valuable because we find them accepted by a multitude of witnesses, or garbled in outlandish jargon; but sometimes the very familiarity with a Truth that has been inculcated to us from early youth prevents us from appreciating its value and perceiving its importance upon which a new wording often throws new light and displays the jewel that has been all the while overlooked." -Page viii-ix of The Mystery of the Ages contained in the Secret Doctrine of all Religions by Marie, Countess of Caithness (1887)
Lately I have been struggling to record notes and even find words to describe certain insights which have been accumulating in wading through the flood of information I have been processing. To further illustrate the dynamic practicality of the GEOMETRIC NUMBER WEB / COMPUTATIONAL GEMATRIA WEB and The Qabalah of Nine Chambers which comprise the primary triple number index thereof, I want to go over certain QABALISTIC RELATIONS which I have been contemplating and working with recently which will continue forward from the previous three posts of this year.
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"In parenthesis, the Tree of Life, with its glowing globes, comprehends schematically the variety of space capsules and their respective kalas. When a star is sighted in the sky the radiance seen by the human eye is not of our time, and the star itself may have ceased to shine long aeons since. Similarly, the flying lights - the subject of innumerable sightings since Hiroshima - are radiations from the lenticular energy-spectres of long dead beings that existed in remote galaxies/ They are the 'dead' in Amenta, the Shining Ones. They formed the world of shells known in ancient lore as the Qliphoth. Occultists, at last, are beginning to recognize them as such, and to salvage them from the debris of ideas interpreted as 'evil' because unknown and unidentifiable. What was unknown, what was not understood, was considered to be inimical, hostile." -Kenneth Grant, Outer Gateways, pg. 121 (1994)
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(See Critical Path by R. Buckminster Fuller, as well as Psychic Dictatorship in the U.S.A. by Alex Constantine for more on the origin of these Gematria formulae, and their potential applications.)
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"By "matter," he doesn't mean that somewhere in the deep recesses of your brain is a small bundle of liquid, sloshing around and powering your sense of self and your awareness of the world. Instead, Tegmark suggests that consciousness arises out of a particular set of mathematical conditions, and there are varying degrees of consciousness - just as certain conditions are required to create varying states of vapor, water, and ice."
(Note: MATHEMATICAL CONSCIOUSNESS = 666 using Gimel for the hard C's and Cheth for the soft, as in THE CIRCLE. This cryptographic device of using interchangeable letters-transliterations for phonetics further conceals certain formulae from automatic computation and highlights the depth and cohesion expressed through the formulaic vehicles.)
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As much as certain interests might not want it to be the case, 666 appears to indeed be a unique Key to the Qabalah as well as many other fields, particularly the Unified Field which integrates every point in space-time into what can be called THE ZERO POINT OF BEING. (Note BEING = 70 = 'O', i.e. THE ZERO POINT OF 'O', i.e. the Etheric Solar-Plasma Cell. However, note also that ETHERIC SOLAR-PLASMA CELL = 888, which has a particular connection with 666 in that it is THE PHILOSOPHER'S STONE which is the Soular 666 alchemically transmuted toward The Higher Power (999) by way of 777, i.e. the World of Shells, OVLM H'QLIPhVTh which being related to the prism of manifest vibration in shells of light and sound provides the necessary frictive vehicle of VECTOR EQUILIBRIUMS, the basis of all forms.
"The vector equilibrium is the zero starting point for happenings or nonhappenings: it is the empty theater and empty circus and empty Universe ready to accomodate any act and any audience." -Buckminster Fuller, Synergetics, 503.03
I want to quote a chapter at length which further expresses the depth and significance of the 'Zero-Point' of the 'O', which I found while reading I.K. Taimni's 1969 book Man, God and The Universe:
MATHEMATICS AS THE BASIS OF MANIFESTATION
It is fashionable these days in scientific circles to represent
everything in mathematical terms. If we can somehow put any law or
phenomenon of Nature in the form of a mathematical equation we think we
have brought it within the realm of scientific knowledge and put it on a
scientific basis. To a certain extent this effort to reduce everything
in Nature to mathematical terms is justified because the basis of
manifestation is mathematical. The relation between mathematics and the
phenomena of manifestation has long been known and expressed in various
ways. Pythagoras called God a Geometrician, and in more recent times the
same idea has been put by Sir James Jeans in the statement that 'God
must be a mathematician.'Fundamental truths of Nature are based on mathematics and are reflected in mathematical relationships. The most spectacular demonstration of this fact was made in the formulation of the Theory of Relativity. Einstein, sitting in his room with a pencil and some paper, and not even stepping into a laboratory, discovered some of the most fundamental truths with regard to the physical universe. Some of these truths were incorporated by him in the form of a simple formula E= -mc2 which led to the discovery of atomic energy. This discovery has not only revolutionized the fundamental conceptions of Science but brought about far-reaching changes in our life. The Theory of Relativity appears to have given almost a new direction to our civilization and to have created problems which are a challenge to our current outloooks and modes of thinking.
Now, it is not only truths of the physical world which are reflected in mathematical relationships, but also those of the subtler worlds. By this it is not meant that they can these truths can be grasped to some extent by the intellect with the help of mathematics without direct realization in one's consciousness as is done in Yoga. It is true that such a knowledge is bound to be skeletal or like a map. It gives only the relations and not the contents of the realities which it represents. These latter can be known only by direct experiences on the higher planes. But this mathematical knowledge is knowledge which can be relied upon, because the conclusions of mathematics are infallible and utterly dependable. The only difficulty is in the interpretation of these conclusions which may or may not be correct and may completely vitiate the conclusion. For being without content and of a general nature they can be interpreted in different ways. That is why such conclusions are always tested by actual experiments before they are accepted. Einstein's theory was not considered valid until it had been tested by experiments made by astronomers and physicists.
That the physical universe is based on mathematical laws will be seen easily if we remember that all phenomena are essentially of the nature of vibrations or motions of different kinds. Every vibration in the ultimate analysis is a mode of motion which can be represented by a mathematical formula. Since the bhutas (Elements), which affect our sense-organs and produce the five kinds of sensations through the instrumentality of the sense-organs, are dependent upon vibrations of various kinds they are really in the ultimate analysis merely mathematical qualities. Every sensation is produced by a vibration and is mathematically related to the vibration. For example, light of a particular wave-length will produce the sensation of a particular color, sound of a particular wave-length will produce the sensation of tone of a particular pitch. Some sensations may be produced by a complex group of vibrations but these can be analysed and can always be reducted to mathematical terms. That is why sensations are called tanmatras in Hindu philosophy. The Sanskrit word tanmatra means literally 'the measure of that'. Sensations are measures of reality in this objective aspect, and we can actually represent them by mathematical formulae. We can contact reality in its objective aspect only through them as proved by Science. The whole physical universe in its objective aspect which we perceive through our sense-organs is thus reducible to a set of mathematical formulae.
That the whole of the manifested universe in its physical and superphysical aspects must be based ultimately on mathematics follows from the very nature of the Ultimate Reality. If undifferentiated Consciousness is the only Reality at the basis of the universe and all the phenomena are merely modifications of Consciousness or in Consciousness, it follows logically that all phenomena and noumena as well must be nothing but relations in that underlying Consciousness. And since mathematics is the science of pure relations it must underlie all the truths of existence and must reflect those truths in every sphere of life. The pure undifferentiated Consciousness can be compared to pure water in a perfectly still condition and the perception of phenomena by the mind to the patterns produced in the water when it is churned in different ways and with different speeds. If pure water is being churned in a tank and we consider the essential nature of the infinite variety of innumerable patterns of water we shall find that there is nothing else in existence but water and relations between its different parts. There can be nothing else. And these relations between the different parts of the water which find expression in an infinite variety of patterns are all based on mathematics and can be defined by mathematics.
Only the Absolute is absolute and not relative. All else in manifestation below that State is strictly relative and since mathematics is the science which deals with relations of every conceivable type it must be the very ultimate basis of manifestation. Because the Absolute is also the womb of this relative manifested universe and is the ultimate source from which the universe comes forth it should be possible to represent the Absolute also by the ultimate reality of mathematics. What is this ultimate reality of mathematics? Zero! Zero is the undefinable, unknown, potential container of all figures and so of all mathematical relationships. It is the womb of mathematics, containing the very essence of all mathematics. It is for this reason that it alone can serve as a symbol of the Absolute.
Mathematics deals only with pure abstract relations without taking into consideration the contents of those things which are related to one another. It is obviously, therefore, concerned with the world of the Relative and not with that Ultimate Reality which we refer to as the Absolute. It gives us the foundation principles upon which the manifested universe in all states of subtlety is based, but it cannot touch the Absolute, for, in the Absolute those different parts or aspects which are related in manifestation become so completely integrated and perfectly harmonized as to appear a void to the intellect. So, all the laws and formulae of mathematics which are applicable to the manifested state must also become integrated into a state of No-Relation or No-number, as this state is called in The Secret Doctrine. But this No-number or No-relation represented by the zero is not a void in the ordinary sense. It contains all the laws and relations of mathematics within itself in an exquisitely harmonized though incomprehensible condition. From this No-number or No-relation can be obtained by differentiation or derivation all those laws of pure mathematics which regulate the relations of things in manifestation. Upon these derived laws of mathematics in their totality, whether discovered or still undiscovered, is based on the whole structure of the manifested universe in all its aspects and parts. It is according to these laws that the Great Architect of the universe plans and erects the universe through which He manifests.
It will be seen from what has been said above how and why mathematics can provide us with valuable clues in investigating, understanding and representing the mysteries of Occultism. In trying to understand the nature of Reality in manifestation through the instrumentality of the intellect we can derive help form mathematics because it is the science of pure relationships devoid of any content and can throw some light on the relations of different aspects of manifested Reality to another. Let us be quite clear in our mind what this means.
We cannot know Reality in its different aspects and different levels except through direct perception, which means the fusion of the individual's consciousness with the Divine Consciousness. But we can know the relations between these different aspects and levels of Reality because these relations are reflected in the facts and laws of mathematics. The difference between the two kinds of knowledge is very similar tot he difference in the knowledge of a country gained by going and seeing it directly with our own eyes or by looking at is map. There is really no way of knowing a country truly except by going to it and seeing it with our own eyes and coming in direct contact with it. But we can get some idea of the country, though of a different nature, by looking at its map. A map or a diagram can give an idea only of the relations of the different parts of a thing which it represents. It is a symbol, but a symbol of things as they exist in relation to one another and not as they are in reality. In a way a map or a diagram sometimes gives a better idea of a composite and complicated whole than seeing it directly or through pictorial representation. For it can give a general idea of the whole as well as the parts in relation to each other, while seeing it directly through pictorial representation gives only a partial view of a particular aspect at a time. A man who sees and studies a map of Kashmir gets a better idea of the natural features of the country than a person who goes there and see things one after another in a haphazard manner as a tourist. But of course, the map will not give him the slightest idea about the beauty of the scenery and the life of the people.
It is necessary to have a clear idea with regard to the limitations and advantages of symbolic representation of Occult truths through diagrams or in other ways if we are to utilize these properly for investigating and understanding those truths. The limitations have been pointed out above. These are mainly two: one is that we can get an idea in this manner only of the relations between different aspects of reality, and not of their real nature; the other is that we have to be careful in representing and interpreting correctly the conclusions which we arrive at in this manner. It is here that intuition comes in and becomes a necessary factor in our studies or investigations. For, while the conclusions arrived at in the field of physical science can be interpreted adequately and correctly with the help of the intellect alone, because they deal with non-sentient blind forces of Nature, the conclusion with regard to the realities of mind and consciousness cannot be left to the intellect alone. They require the light of intuition which comes from the realms of consciousness.
In spite of these limitations there is no doubt that mathematics can be of great help in investigating, representing and understanding the truths of the inner life; it can provide us with a map of the country which we shall later explore unaided within ourselves. The value of a map under these conditions cannot be overestimated; it may not help us directly but at least it helps us in having a correct perspective and keeping to the right course, and not losing our way. A military commander who has to carry out operations in a country is provided with a map of the country and not picture post cards. This is the function of philosophy in tackling the problem of Self-discovery and Self-realization. It gives us a sort of map of the country which we have to explore.
Let us now discuss very briefly the significance of numbers, for mathematics is ultimately based upon numbers, and all numbers should therefore have some relation with the basic realities of manifestation. If we examine the series of numbers beginning with 1 we find that they increase from 1 to 9, and then after that the numbers begin to repeat themselves in various permutations and combinations as shown below:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
100, 101, 102, 103, 104, 105, 106, 107, 108, 109,
110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
120, 121, 123, 124, 125, 126, 127, 128, 129, 130...
The evolution of all numbers from the number one is an interesting mathematical problem but we are not concerned with it here. All that we need note here is that there are only nine fundamental numbers, 1-9 and their derivatives, flanked by two intriguing mathematical entities O (zero) and (infinity) which are really no numbers. These eleven mathematical entities which seem to have a specific identity of their own are, therefore, not only the basic realities of mathematics but must somehow represent the basic realities of existence and their relations to one another. The correlation of these eleven mathematical entities with the realities which they represent is an interesting problem, and research in this field will be very rewarding, for, it will throw new land interesting light on the nature of these realities and the relations which exist between them. But even with the little knowledge which Occultism has placed at our disposal we can see the tremendous significance of these numbers and their correspondences with the fundamental realities of existence, both in the unmanifest and manifest state. The Occult doctrines fit in very nicely in this scheme of correspondences, and, if there are any gaps or discrepancies, a thorough investigation of these will be of great help in throwing further light on the mysteries of these realities. In the scientific study of any problem nothing is more useful than the exceptions and discrepancies which sometimes crop up in the working of a natural law. It is through the investigation of these exceptions and discrepancies that new vistas of knowledge and lines of enquiry open up before the investigator.
We have already referred very briefly in the chapter on the concept of the Absolute to the intriguing and to a certain extent unpredictable characteristics of zero which make it eminently suitable for representing the Absolute in the world of mathematics. The zero contains within itself potentially all mathematical quantities and relationships that can be possibly imagined, each + quantity being balanced by its exactly - quantity. It is not, therefore, a symbol of nothing but everything present in a harmonized and balanced state. It is a symbol of No-thing for it does not contain any quantity as such, yet all quantities are present in it potentially, and can be drawn from it as need arises. The zero is thus a natural symbol of the Absolute. A careful investigation of its properties may enrich our concept of this Reality.
Let us now descend from the realm of No-number or zero into the realm of numbers. Here obviously 1 is the starting point, for all numbers are made up by the successive addition of 1, as shown below:
1, 1+1=2, 2+1=3, 3+1=4, 4+1=5, 5+1=6, 6+1=7, 7+1=8, 8+1-9, etc.
We see thus that one is a fundamental number, the father of all other numbers, all of which can be derived from the proliferation of one. And since one, unlike zero, is also in the realm of manifestation it must represent that level of Reality which is the very basis of manifestation, that Principle in which is rooted the tendency or the power to manifest. What is this level of Reality or Principle? In order to be able to answer this question we have first to consider two facts.
One is the primary differentiation of the One Reality into the Siva-Sakti Tattva. This tattva or principle being the primary dual tattva must obviously be represented by the number 2. This means that there must be another level of Reality between zero and 2, which corresponds to the number 1 in the fundamental series of numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The symbolization of the Siva-Sakti Tattva by a bi-focal ellipsoid also presupposes the presence of another tattva corresponding to a sphere, for an ellipsoid can form only by the separation of the centre of a sphere into two separate foci of an ellipsoid. As an ellipsoid presupposes the existence of a sphere from which it is derived, as 'two' pre-supposes the existence of 'one' from which it is derived, so a bipolar dual Siva-Sakti Tattva or + and - Principle presupposes the existence of a non-polar unitary tattva or Principle from which it is derived.
The second fact we have to consider is that in the concept of the Absolute as a harmonious synthesis of all opposites, and an integration of all tattvas there is no place for a centre. It must be an undifferentiated state which we generally indicate by the word nirvisesa (without distinction). A centre means centralization, and centralization means partial distortion and deviation from the perfectly uniform undifferentiated, nirvikara (undistorted) state of the Absolute. And yet without a centre there can be no manifestation.
Even the primary differentiation of the Siva-Sakti Tattva requires the presence of a centre which can then separate into two foci. This second fact also, therefore, points to the existence of a level of Reality which comes between the uniform undifferentiated Absolute and the dual Siva-Sakti Tattva. This level of Reality must be a centralized reality but non-polar, unlike the Siva-Sakti Tattva. It must contain within itself the principle of individuality and the potentiality of manifestation, for without a centre of individuality there can be no manifestation. It is this level of reality which is represented by the number 1.
So when we talk of the One we do not refer to the Absolute but to this aspect of level of Reality which comes between the Absolute represented by zero and the Siva-Sakti Tattva or the Father-Mother Principle represented by 2.
[Note: SHIVA-SHAKTI TATTVA = 222.]
Let us not try to identify this Reality by any specific name and refer to it merely as the One for the time being. We see in the above illustration the value of mathematics in helping us to arrive at definite conclusions with regard to these things which are beyond the realm of intellect. If our conceptions of the Absolute and the Siva-Sakti Tattva are correct then the existence of a Reality coming between these two and corresponding to the number one in the mathematical series 0, 1, 2, 3, etc., becomes inevitable. This Reality correspoding to the number one can be considered as an aspect of the Absolute but we shall not go into this question here.
The level or aspect of Reality corresponding to the number 3 is obviously the Triple Logos who is the very basis of a manifested system. His triple nature, as has been pointed out in a previous chapter, is the result of the appearance of the subject-object relationship which brings into action His Chit (Mind) aspect, the basis of Divine Ideation. All triplicities, which we find in Nature everywhere, are derived from the triple nature of the Logos, are reflections of His Life and Consciousness, as has been pointed out already in chapter VI.
It is not possible to discuss here in detail the correspondences between the fundamental numbers from 0 to 10 and the different levels of Reality which they represent, but the following chart gives some hints with regard to this interesting question and may be taken tentatively by the student for further thought and enquiry. The significance of numbers and the powers and potencies associated with them is a subject of very wide scope with which many Western occultists are familiar. It is not only of theoretical interest but forms the basis of many occult arts.
We have not dealt with the significance of geometrical figures in this chapter. Many examples of geometrical symbolism will be found in different parts of the book.
The Absolute (0) and its fractal pattern of division into units as described by Taimni is very similar to that described by Ouspensky with his 'Chains' of increasing complexity as quoted at length in The New Model of the Universe. What is fascinating, yet difficult to understand and still more to explain is how meaning can be conveyed through mathematical equations in more ways than merely what is happening such as in the form you find yourself transducing, i.e. basic language. Consciousness itself, as well as the quantum charges that comprise the states of wave-particle/vibration-materialization of all manifestation, becomes actuated by 'mathematical conditions,' or dynamic states of interacting quantum forces acting integrally over incalculable periods of space-time (which in the case of the individual, implies another near-incalculable set of super-imposed 'timelines') - which us humans perceive and utilize still but a mere fraction of ourselves for our own relativistic purposes with more or less general proficiency.
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Clairvoyance, 'clear seeing' or 'second sight', as well as clairaudience and other forms of Extra-sensory perception is explainable via the theory of mathematical induction and the subconscious mind has already been found to calculate things automatically, as exemplified in simple things like physical movements where we calculate the force with which to move limbs to achieve desired results without having to consciously calculate anything. And again, it shouldn't come as much of a shock to materialistic-minded people that there are numerical quantifications of phenomena since in a materialistic paradigm for anything to 'exist' it must be quantified and able to be committed to a peer-reviewed journal for it to be considered valid or significant. For more on this aspect see The Mathematical Basis of Psychic Abilities, Spiritual Phenomena, and the Religious Instinct.
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"Expect him not from the East, nor from the West; for from no expected house cometh that child. Aum! All words are sacred and all prophets true; save only that they understand a little; solve the first half of the equation, leave the second unattacked. But thou hast all in the clear light, and some, though not all, in the dark." -Liber AL.I.56
Further note on The Qabalah of Nine Chambers:
18 x 37 = 666
18 is commonly known as symbolic in the Jewish tradition of 'Chai', or 'Chi', meaning Life, Alive, or Living. 18 is 6+6+6, or the Solar-Power cubed and 37 is ChITTA, 'Mind-stuff'/'Thought', equated with the Qabalistic Ruach, or Psyche/Nous/Manas. 666 can thus be thought of as Mind imbued with the Power of Life and Creativity. Each of the Nine Chambers is a multiple of 37; 111 being 37 x 3. Note: 37 is YChIDH, Yechidah, the Soul in Kether - the innermost spark or Flame (LHB, 37) of THE WHITE LIGHT. See the section on the symbolism of 37 in A Mathematical Journey Into the Number 666.
37 x 3 (1+1+1) = 111 (1+1+1=3)
37 x 6 (2+2+2) = 222 (2+2+2=6)
37 x 9 (3+3+3) = 333 (3+3+3=9)
37 x 12 (4+4+4) = 444 (4+4+4=12, 1+2=3)
37 x 15 (5+5+5) = 555 (5+5+5=15, 1+5=6)
37 x 18 (6+6+6) = 666 (6+6+6=18, 1+8=9)
37 x 21 (7+7+7) = 777 (7+7+7=21, 2+1=3)
37 x 24 (8+8+8) = 888 (8+8+8=24, 2+4=6)
37 x 27 (9+9+9) = 999 (9+9+9=27, 2+7=9)
(37 x 37 = 1,369) (1+3+6+9=19, 1+9=1)
37 x 37 is 1,369, which happens to be the sum of the Abstract Triad; ChSD, 72 + GBVRH, 216 + ThPhARTh, 1,081. 1369 is the Greek Ο Ζωης, 'The Living God', and Θεος Εικων Θεου, 'Image of God', showing the unfolding nature of the numeric sequence it is significant that 1369 is also Ω Φαλλη, O Phallus, or The Phallus, which is used in The Star Ruby (also see the considerations in Liber 414, "The Phallus is the physiological basis of the Oversoul.") Two other phallic correspondences that equate to 1369 are THE CADUCEUS OF HERMES and THE TRIDENT OF NEPTUNE, both of which illustrate the concept of channeling the Power of Creation (OSh, 370 + 999 = 1,369) and thus embodies the Fractal-Holon of The Qabalah of Nine Chambers. There is also a particular relationship between 1369 and 666 being that it does not have the same sequential feature as the ordinary triple numbers, and 1+3+6+9 = 19, a numerical corollary to 37 and 18 (6+6+6) [ 19+18=37. ] 19 conceals the spectrum 1-9, with 36 in the center of 1369 hinting at the SUM of (1-36=) 666. 1369 is also VRVCh ALHIM MRChPhTh OL PhNI HMIM, 'And the Spirit of God moved upon the face of the waters.' (second half of Gen. 1:2)
Not only is Jesus 888, but Christos, 1,480 (37 x 40) is also a multiple of 37 making the full title 2368 (37 x 64). Considering ADM in its ordinal value (1+4+13), along with Eve (ChVH, 8+6+5 = 19) we also find 37, and note that EDEN = 64, the number of permutations of Yin and Yang in the I Ching, or Book of Changes. Note also that 2,368 is 1,369 + 999, i.e. The Phallus + The Bride. 64 is also Aletheia, 'Truth', and 37 is 'LAW' - both of which are Maatian concepts of 'Truth and Justice'.