Holonomic Alchemical Science -- Kent Palmer hero. Here we will go back to the roots of HOLONOMIC Alchemy in Egypt to find our starting point for the introduction of a new form of science ALCHEMICAL which actually has very old roots within our tradition. Hopefully this will vindicate the SCIENCE alchemical searching of Newton and other alchemical practitioners within the Western tradition who saw through a glass darkly that something was missing in the Western Scientific perspective on Nature. That Kent D. Palmer, Ph.D. something is a new way to look at systems P.O. Box 1632 theory that will be introduced in this essay. Orange CA 92856 USA Hopefully by the end of the essay you will be 714-633-9508 converted to the Alchemical perspective [email protected] presented here yourself and want to consider yourself as an Alchemist as I do. Perhaps that will give you a new perspective on the Copyright 2000 K.D. Palmer. All Rights Reserved. Not for distribution. possibilities of science itself that goes beyond Version 0.01; 09/19/00; hsA00f00.doc the narrow confines which is presented by Western Scientific practice today. It is this dehumanized Science that underlies the Keywords: Holonomics, Holon, Special pervasive destruction of the earth based the Systems Theory, Emergent Meta-Systems, use of the out of control Technology which Autopoietic Systems, Reflexive Systems, calls for a deep rethinking of our position on And Dissipative Systems, Archon, Holoid, the use of Science and Technology in Archetypal, Jung, Alchemy, Imaginal, general. It is this rethinking that leads us Hillman, Giegerich back into our tradition to attempt to discover what went wrong and why that caused us to be alienated from our own place in the Establishing the Context context of the earth. One answer to that question might be that one of the places This work attempts to make the case for an where things went wrong was when we attempt to reinstate Alchemy as a vital part abandoned Alchemy which saw us as the of our scientific and philosophical tradition. subject, instrument and object of our own Unfortunately since Newton Alchemy has experiments rather than nature which as been languishing as it has lost its direction Bacon advised we torture on the rack to force through the myriad interpretations that have it to reveal it's secrets. Even though we are been projected on it and due to its own dreadfully cruel to other human beings we myriad interpretations by alchemical are less likely to want to torture ourselves, practitioners within our tradition. We have and if we see ourselves as connected to the actually lost our ability to understand rest of nature then by extension perhaps we alchemy so that it has become foreign to us would be less likely to want to torture the even though it was a substantive part of our earth and our fellow inhabitants, if our scientific tradition for a long time. It is a science was not alienated from us as Husserl great secret that Newton who is seen as the describes in his book Krisis. Alchemy can be father of modern physics spent most of his thought of as non-alienated and non-anomic time on alchemical experiments. It is only science prior to its reification. Alienated recently that scholars have begun to delve science means that through it we become into this shadow side of the great scientific decathected objects of other investigators that 1 Holonomic Alchemical Science -- Kent Palmer treat us inhumanly. Anomic means that stages in Egypt. Over the ages this focus was science sucks the meaning out of life and lost and Alchemy was interpreted in various leaves us as empty husks without soul or ways at various times without regaining this spirit. Through Western science we reify initial inspiration found in the work of Bolos ourselves into alienated and anomic creatures (Pseudo-Democritus) and Ostanes his tortured by our torturing of the earth and its teacher. Bolos wrote in the name of inhabitants. How do we get out of this deadly Democritus, but did not adopt his atomic syndrome by which we are destroying theory. Instead it was the theory of ediolons ourselves by destroying our home with the that was taken up by the neo-Platonist other creatures that inhabit this small planet alchemists. Democritus thought that each with us? The answer can only be through self thing projected an image of itself that understanding. We need to understand our effected animals and men. It was the image own history and look back for the forks in of each thing that haunted that thing in our the road not taken that might have taken us imaginations which was the basis for the to a different future than the one we are now transformational characteristics of alchemy. experiencing. Alchemy is one of those roads Bolos speaks of his teacher Ostanes who he which eventually, after Newton, was lost before the final secret of alchemy was abandoned for the emphasis of a small part revealed. In the story Bolos attempted to of Newton's own work, i.e. the Principia. raise the image of Ostanes, but he could not What did Newton see that we did not see say anything, he merely pointed at a pillar in which led us down another road than the one the temple. They could not interpret this sign, that he himself pursued. We call him a but continued the research that had been founder of our approach to science yet we do begun under the direction of Ostanes now not follow him. If we had followed him what working alone. Later there was a might be different today in our relation to commemoration of Ostanes during which the technology and science? This is the kind of pillar opened up and was searched. Nothing question that we will attempt to explore in was found in the pillar except the words: this work. Nature produces Nature, Nature conquers Nature, and Nature delights Nature. Bolos Alchemy as we find it in the tradition in said that this aphorism summed up what he general is very difficult to understand due to discovered independently better than any the fact that it has meant so many different formulation that he had previously heard. things to so many different people through This story is very illuminating. First of all we the ages. Today when we read the alchemical see that it is the ediolon of Ostanes which is works they are generally almost impossible questioned about the secret of alchemy. That to understand because the way of thinking ediolon can not speak but only sign. But the that they embody is so different from our sign is not adequate to give the message at modern way of thinking. Thus, here we will first. Later the pillar is discovered to be be interpreting alchemy in a very specific empty when it pops open instead of full of way which will be called Holonomic manuscripts. But eventually it is found that Alchemy. We assume that the essence of there is within the pillar a saying which alchemy is related to what will be called Ostanes meant to communicate with his sign. Special Systems theory and Emergent Meta- That saying sums up what Bolos discovered systems theory that will be presented in this himself in the intervening years and essay. We base this interpretation on the summarized his own discovery. existence of some scant indications in the history of Alchemy that these Special One point of this story is that you can Systems may have been known and have discover the secret of alchemy on your own, been the focus of alchemy in the beginning in other words you do not need the 2 Holonomic Alchemical Science -- Kent Palmer transmission from the master to comprehend through a medium of something else. Delight the secret of alchemy. A second point is that means more than mere control but mutual Ostanes cannot speak after death, but can recognition which suggests the social. make a sign as an ediolon. He indicates something that appears solid. But later this There are two directions to go in the thing is discovered to be empty and still later interpretation of these sayings of Ostanes. it is discovered that it holds the inscription of One way is to think of the sayings as the saying in question. Thus, words are not referring to physical nature and the other necessary to transfer this knowledge, only way is to think of the sayings as referring to signs. But the signs point to something the logos nature indicated by Democritus in seemingly solid like a pillar but which is his use of the term eidolon. In other words actually empty. Then we find that the pillar we can think of nature producing itself has inscribed within that emptiness the physically or we can think of nature saying. This transformation from solidity, to producing images of itself in the logos. emptiness, to inscription is also very Similarly we can understand the conquering important for our understanding of the secret and delight in this way as well. If we think of of alchemy. We might say that the secret of the conquering of self physically then we alchemy is bound up with the move from would concentrate on control whereas if we form to formlessness and beyond think of the conquering in terms of formlessness to the order inscribed within the dissipation we can think of the dissipation of formless. the images throughout the medium of the logos among things. Similarly we can think The inscription is extremely peculiar. It says of physical delight which is a sensation and that nature produces nature, then nature the delight on the level of logos that perhaps conquers nature, and finally that nature might be expressed in terms of language delights nature. The first of these statements through poetry. might be said as Francis Bacon says it using the phrase Natura Naturans. In other words Both Plato and Aristotle suggested that it Nature Natures. This statement alludes to a was possible to change the nature of things fundamental way of looking at things by changing their constitution in terms of the endemic to the Indo-European worldview in elements earth, air, fire, water. Neo- which the highest state is when the same Platonism projected this suggestion out onto thing is both a noun and a verb. We might nature and attempted to found a science that say Form Forms, Shape Shapes, or Being Is. comprehended changes at the elemental Nature Natures, i.e. nature unfolds itself structural level. It thought that it had found naturally and thus produces nature from in Alchemy the experimental evidence for itself. This state of self production unfolds such transformations. Alchemy was built on into the state of self-conquering and self- the craft tradition of Egypt which delighting. Conquering and Delighting are transformed base things into things that clearly meant to be opposites that unfold appeared golden. There was never any from Self-production. In what follows we question about actually turning things into will give these two further states beyond self gold beyond the appearance of gold until production very specific interpretations. But later. Rather Egyptian metallurgy built upon at this point it is possible to see that in order dyeing industry and attempted to do the same for something to conquer itself or delight thing with various metals, using one metal to itself it must first be produced. Self produce the sheen of another. Eventually conquering has to do with control of the self, these formulas for giving the appearance of which can be thought of in terms of gold were related more and more closely to cybernetics, or dissipation by something the philosophical belief in intersubstance 3 Holonomic Alchemical Science -- Kent Palmer transformation of the neo- Platonists and eidolons and atoms. Presumably in his theory eventually this gave rise to the suspicion that they were related intrinsically to each other. it was possible to really transform something But for us the two realms, the imaginal realm from one metal into gold or silver as we find of the soul known through archetypes and the in the works of Gerber. objective world of science that studies atoms, particles and quarks have become utterly But what we really want to do is to try to separated. As Giegerich says Psychology understand what the phrases of Ostanes proper is a study of the soul of the soul while meant within their proper context of the all other subjects study the soul of something transformation of appearances. We might else. Thus Giegerich says that we must rise suspect that this had something to do with the above images to realize the logical basis of eidolons that appear in the theory of the split between the science of the Psyche Democritus. In other words it has something and all other Sciences. But this only to do with the imagination of images emphasizes the split even more than merely emanated from the things. Nature produces discussing the archetypal images. nature through images. Nature conquers nature through images. Nature delights Our question becomes whether there is a way nature through images. This makes us think out of this impasse. Is there a way to that there might be some connection between understand the Psyche in the context of the Alchemy as originally constituted by other sciences which takes seriously the Democritus, Ostanes and Bolos and images and ideas of the Psyche but also is Archetypal Psychology such as that grounded in the experimental approach to advocated by Jung and Hillman and other phenomena that is cherished by Giegerich1. Archetypal Psychology relates to Western Science. What we are looking for is the images that are intrinsic to the things, a bridge or a rosetta stone that will allow us including ourselves, as discovered by us. For to move between these two very different Archetypal Psychology there is a deep order forms of science, i.e. the alchemy of images to the production of images that appear in and the experimental science of the atoms, our psyches. That order is the production of both of which Democritus founded. How do nature within ourselves for us. Those images we manage to integrate the two as we conquer us and delight us. And ultimately it presume that Democritus must have done? is the primal images that come first before the logos of poetry and the physus of our bodies. These images tell us about our soul Warning Alchemist at Work and its relation to the worldsoul. So that Alchemy becomes the work of bringing to How does one become an alchemist? It is manifestation the soulfullness of the world certainly not by studying alchemy itself. This and our selves. is because alchemy itself is a lost science which has become mired in multiple But this view of Alchemy traps us in the interpretations that are all in conflict with realm of psyche and does not allow us to each other. However, this lost science needs integrate this understanding with Western to be reclaimed because modern Western Science as it stands and thus leads us into the Science has blindspots that cause many mire of subjectivity and cuts off any relation problems both intellectually and practically to the objective world of science. In other in our world. Alchemy represents a historical words Democritus is prophetic for us alternative path in which human experience because he came up with the theory of is valued as part of the scientific endeavor. Alchemy as represented by Democritus attempts to bridge the gulf between the 1 http://mythology.org/publications/Paris2000.pdf 4 Holonomic Alchemical Science -- Kent Palmer atomic quantitative view of the world and the that dissertation I analyzed the kinds of eidolons which give us a qualitative view of Being discovered in modern Continental the world through images projected by the Philosophy and showed that what they were things. But finding that bridge is not an easy talking about were various meta-levels of thing to do in a world split into dualities that Being. I noted that these meta-levels of Being relegates Alchemy to the dustbin of history stopped at the fifth meta-level and at that while it exalts quantitative science and point we leave behind Being and enter into forgets about the need to balance quantity the realm of Existence. In that realm there is with quality. no assumption of continuity such as we posit through the meta-physical concept of Being As for myself, I did not start off attempting that we project as the world. Rather in to resurrect Alchemy. I only discovered much Existence what becomes necessary is the later that what I was up to corresponded to opposite assumption of radical discontinuity. what the earliest Alchemists had in mind I use the work of Sidi Ali al-Jamal as a basis when they formulated their science in Egypt for describing what this kind of science of long before the Arabs and the Europeans existence might be like. I see that science of became interested in the Alchemical project. existence as the basis of many traditional In fact, what I was interested in was the sciences that have historically been promoted relation between Western Science and in the Chinese culture, Islamic cultures, and Alternative Sciences. I have pursued this Buddhist cultures. In other words unless we question with some vigor and to some depth change our primary assumptions radically to over the last twenty five years or so. Only include a fundamental discontinuity it will be recently did I realize that the conclusions that impossible to construct a coherent theory of I had drawn were related to Alchemy, as it sciences of Existence as opposed to sciences was originally conceived. In this work I hope of Being. to put forward the answers that I have gleaned by these years of study and hopefully After leaving London I continued my in the process produce a new form of researches as I made my living as a Systems alchemy on a strong scientific basis which I Engineer and Software Engineer in call Holonomic Alchemy. This new Aerospace firms in Southern California. I foundation of Alchemy solves the problem of continued my study of alternative sciences the relation between the ediolons and the such as Homeopathy and Acupuncture that atoms posited by Democritus, as a form of contradict the assumptions of modern the logos/physus split that is endemic to our Western Science attempting to understand worldview. two things. First I was attempting to understand the difference between the Let me explain the progression of my own Western Worldview and Traditional studies that led me to claim Alchemy as a Worldviews such as those of Taoism in new basis for a more subtle science that what China, Islam and Buddhism. Second I was exists now in terms of the development of attempting to understand the difference Western Science. When I went to London I between Western Science and the traditional did my Ph.D. dissertation on The Structure sciences that emanate from these traditional of Theoretical Systems in Relation to worldviews. Emergence. In this thesis I consider a radically different kind of scientific endeavor In the process of this study I wrote a long based on what I called the Logic of manuscript called The Fragmentation of Disconnection, which is radically opposed to Being and the Path beyond the Void. In this the underlying continuity posited as Being manuscript I attempt to delve into the depths and assumed by modern Western Science. In of the Western Worldview in order to 5 Holonomic Alchemical Science -- Kent Palmer understand its underpinnings. This two things in parallel and just happened to manuscript framed the problem in terms of wonder about their interrelation with each the transition from Being to Existence within other. One thing had to do with the Formal the Western worldview. It discovers at the Structural Systems theory of George Klir. I core of the Western worldivew a fundamental had written a paper on how that theory was fragmentation due to the fact that the Meta- related to software engineering design levels of Being do not extend infinitely but in methodologies that appears in my manuscript fact cannot be found past meta-level four of Wild Software Meta-systems. At that time I Being. In other words it becomes clear that at happened to be reading a book on Hyper the center of the Western Worldview there is Complex Algebras and began to wonder how an emptiness that we must take very the series of Hyper Complex Algebras seriously because it is our transition from (complex, quaternion, octonion, sedenion). It Being to Existence within our worldview. turned out that both the lattice of What I discovered writing that book was that Methodological Distinctions that Klir talks the structures of the world are very about and the series of Hyper-complex conservative in spite of the emergent changes Algebras have in common the element of real that transform the worldview occasionally. numbers. When we connect both these series What is conserved is the structure of the of emergent hierarchies, one of order the Indo-European worldview in terms of meta- other or algebras, then we get a larger lattice levels of Being and the interface with with some very interesting properties. This Existence at the fifth meta-level. After discovery of the larger lattice prompted me to finishing that manuscript I continued to begin studying the whole area again in terms research until in about 1993 I discovered the of this structure and it was discovered that it basis for understanding both the bridge from provided precisely the kind of structure I had the Western worldview based in Being to been searching for these many years. Since other Traditional worldviews based in 1993 I have been searching for historical Existence, which is also the bridge from precedents for this structure and have found modern Western Science to Traditional many of them far and wide. The structure is Sciences such as Homeopathy and very peculiar and so it leaves a unique Acupuncture. To capture and develop that signature on the theoretical and practical discovery I went on to write a series of structures which it is associated with. I have working papers on Reflexive Autopoietic come to think that this structure is a lost Dissipative Special Systems. A new theoretical basis for the traditional sciences introduction to these working papers now which make sense of Acupuncture and exists. Also various explanatory papers were Homeopathy and other sorts of traditional delivered to the ISSS 2000 conference in sciences based on the assumption of the order to make the theory more widely known. discontinuity of existence rather than the continuity of Being. From the beginning of The key idea that I discovered was that there the new Millennium I have begun attempting were a series of emergent levels beyond to make this theory more widely known standard General Systems Theory which because I have assured myself that it is explained how the traditional qualitative indeed what I have thought it was for many sciences of existence related to the modern years, i.e. the necessary bridge to a new way quantitative sciences. I will explain these of looking at science that combines the emergent levels and how they relate to each traditional sciences of existence with the other in the following section. But here we modern sciences of Being to raise both to a are merely discussing the serendipity of the new level of subtlety and sophistication that discovery. The discovery occurred by neither has achieved before. It fills in the accident when I just happened to be studying some of the blindspots of Western Science 6 Holonomic Alchemical Science -- Kent Palmer giving it the ability to be more responsive to contributing a theoretical basis for Alchemy its environment. It gives traditional sciences commensurate with Modern Western Science a positive theoretical basis where previously it is possible to construct a new more subtle good explanations were lacking so that they and more sophisticated Science by the were mocked for being merely superstitions combination of this Alchemical Science with or perhaps forms of magic. normal modern Western Science. There are really two formations that are By becoming interested in Jung's works again involved. One is the formation produced by (I had done my senior thesis at Kansas the hyper complex algebras themselves which University on Jung and Symbolic are related to systems and called Special Interactionism) I began to explore the world Systems Theory. But there is also a meta- of Jungian psychology. Doing that I formation that is made up of all the hyper- discovered the archetypal psychology of complex division algebras plus the normal Hillman and the critique of that by Giegerich. real algebra which is called the Emergent I recently attended the "Psychology at the Meta-system. Many of the historical Threshold" conference where both Hillman examples I have found of this formation and Giegerich attended and gave elucidate the Emergent Meta-system. It was presentations. On my return from that by chance that I happened to see in a book by conference I read Giegerich's The Soul's Edinger on Jung's Aion a diagram that looked Logical Life. It turns out that this theory of like the emergent meta-system formation. I Logical and Archetypal Psychology is an looked up the diagram's in Jung's book, and exploration of the phenomena of the eidolons then realized I would have to read it in order of Democritus which is related to Special to know what he was talking about. When I Systems Theory and the Theory of Emergent read the book I discovered that Jung had Meta-systems which explain the relation known about the Emergent Meta-system between quantity and quality. Therefore in formation and had made an image of it. I this essay I will deal with the extension of went on to read Jung's Mysterium Archetypal Psychology as it relates to the Conjunctus and became interested in the articulation of the broader theory of question of whether Alchemy concerned the Holonomic Science and as it relates to the Emergent Meta-system in any way. After interpretation of Alchemy in general as an finishing the Mysterium Conjunctus and alternative kind of science to the modern Jung's other Alchemical Texts I went on to Western experimental science. Holonomic read many books on alchemy. The most Science interesting of these was the book by Lindsay on Alchemy in Egypt. In that book I found Giegerich makes a case for why Jung and what I had been looking for in the section Hillman's psychology is interesting, and that dealing with Bolos and Ostanes. Their saying is because they take seriously the concept of is a clear example of the Special Systems. Soul. This is an extreme case but it points to This made me realize that what I had exactly what modern Western experimental discovered really was the root of Alchemy science has lost, i.e. its soul. Soul, God, and that this placed it squarely within our Spirit and other meta-physical concepts have tradition rather than as something outside no place in modern Western experimental that tradition as many of the other examples I science. Alchemy on the other hand has have found turned out to be. Thus I realized throughout its history been concerned with that what I had discovered was the original soul and nature both. This concern for the basis of Alchemy which is precisely an relation between soul and nature is precisely alternative form of science within our what we need to recapture in our scientific tradition prior to the triumph of atomism. By endeavors. There are even some books these 7 Holonomic Alchemical Science -- Kent Palmer days that concern the nature of soul from a computer operating system within which scientific viewpoint such as The Spiritual application systems appear. Another example Universe by Fred Alan Wolf. He uses of this difference is the relation of the Quantum Physics as a basis for explaining Universal Turing Machine to the Turing the unexplainable. The popularity of his Machine. The Universal Turing Machine is work and similar works on the soul by others like an operating system for Turing Machine including Hillman, More and others of the applications. Once you have an Archetypal Psychology school shows that understanding of this difference between this lack with respect to modern Western Systems and Meta-systemic Fields out of philosophy and science is something that is which systems arise and to which they return, heart felt by many. Bringing together then it is possible to go on to define the Alchemy with modern Western science special systems. The special systems are part should address this issue of the relation of systems and part meta-systems that exist Soul, Spirit to other more mundane terms between the system and meta-system. We like World and Self which are levels of call them Holons because from one angle abstraction that may be seen to relate to they look like systems and from another modern Western science. angle they look like meta-systems. Thus as Koestler said who coined the term, they have a Janus face from the viewpoint of the whole Special Systems Theory they look like parts and from the viewpoint of the part they look like wholes. These Alchemy in the beginning seems to be a holons have a very special structure which is theory of the Special Systems. This focus made clear by their relation to the hyper was rapidly lost but is discernable in the complex algebras. These algebras were work of Ostanes and Bolos in the ancient discovered by Hamilton and Graves in the Egyptian school of Alchemy. But because it middle of the 1800s. Thus they have been appears at the beginning there is a strain of known for 150 years. But to my knowledge Special Systems that runs through the this mathematical basis has never been used historical examples of Alchemy of later ages. to ground a systems theory. That is because Here we will be giving a much more these special systems have some very strange advanced theoretical description of the properties. No one before thought that Special Systems than appears in the systems could have the strange properties aphorisms of Bolos and Ostanes. Hopefully, that the hyper-complex algebras exemplify. It after I have explained the basis of Special is this realization that these strange Systems theory it will be clear how their properties are useful for looking at the world aphorisms relate to this theory. that is my contribution to this field. The easiest way to explain the theory of There are three sorts of holons or special Special Systems is to start with the systems where the whole is exactly equal to distinction between Systems and Meta- the sum of its parts. These are called systems. Systems are social gestalts. Meta- dissipative ordering special system, systems are environments, milieus, contexts, autopoietic self-organizing special system, situations within which systems appear. A reflexive social special system. Each of these system is a whole greater than the sum of its are named for an existing theory. Dissipative parts. A meta-system is a whole less than the systems are named for the theory of sum of its parts. A meta-system has holes in Pirgogine who talks about neg-entropic it. Those holes are niches in which the dissipative structures in far from equilibrium systems nest within the field of the meta- thermodynamic systems. Autopoietic systems system. An example of a meta-system is the are named for the theory of living organisms 8 Holonomic Alchemical Science -- Kent Palmer developed by Maturana and Varella. Sociable numbers. Perfect Numbers are Reflexive systems are named for the those where the divisors add up to the sociological theories of Barry Sandywell and number itself. They are very rare. Examples John O'Malley. In other words each of these are 6, 28, 496 etc. Amicable numbers, like emergent levels of phenomena have been 220 and 284, are those where one number's identified previously by specific theorists. divisors add up to the other whole and vice What we are doing is showing how these versa. Finally the Sociable numbers are a various emergent levels of different series of such numbers in which each one phenomena fit together into a single meta- constitutes the next until it returns to structure defined by the hyper-complex constitute the first one in the series. Sociable algebras. numbers were discovered in 1918 while the other two types were known since antiquity. Once we have identified these emergent These numbers have precisely the holonic levels and their relation to the hyper-complex attribute of the whole being exactly the sum algebras then it is possible to see that they of its parts that is between excess and actually form a higher level formation deficiency of all other numbers. We can see composed of the three holon levels and the that perfect numbers correspond to system level which together define what is autopoietic special systems, amicable called the Emergent Meta-system. The numbers correspond to dissipative special Emergent Meta-system is a dynamic image systems and sociable numbers correspond to of existence by which things are produced ex reflexive special systems. In other words nihilo out of the void, i.e. pure discontinuity. mathematics is shot through with oddities It is composed of stages called seed, monad, like this that can be seen as analogous to the view and candidate and meta-operators that special systems. Another example are the connect those stages called creation, mutual series of non-orientiable surfaces action, gestalt pattern formation, and (lemniscate, mobius strip, kleinian bottle, annihilation. This dynamic formation shows hyper-kleinian bottle) or in physics the series how things pop into existence and interact, of soliton solutions (solitons, breathers, view each other, explore possibilities, and multi-monopoles). There are many different then disappear in mutual annihilation. The ways in which the emergent levels between Emergent Meta-System (EMS) is a theory the various special systems can be seen to be that is equivalent to the dragon of existence articulated in various kinds of mathematics. posited by the Chinese in their mythology. It We can even discern physical phenomena is also this dragon who is suppressed in the that correspond to each level. For instance Western tradition, in which the gods and the soliton corresponds to the dissipative heroes slay dragons. The emergent meta- speical system level, the super-conducting system is an image of the dynamic of Cooper pairs correspond to the autopoietic existence that is covered over by Being. We level and the Bose-Einstein condensate can see an image of it in Shiva dancing in the correspond to the reflexive special system ring of fire. Each of the arms of Shiva stands level. With these physical examples of for a moment of the EMS cycle. holonic systems as a basis special systems theory becomes fully scientific because it has Now it is difficult for most people to relate to a mathematical basis for its theory and the Hyper-complex algebras. We only are anomalous physical phenomena that shows taught real or complex algebra in school and that these systems are "real" as any other so the quaternion and octonion algebras are phenomena studied experimentally by foreign to us. But there is a very simple science. numerical analogy that we can use instead. That analogy is the Perfect, Amicable and But what is amazing about these systems is 9 Holonomic Alchemical Science -- Kent Palmer that they give us a model of the between Western Science and Traditional interpenetration of things that is posited by Sciences of Existence. It offers a bridge Buddhist meta-physics. That is the strange between these two forms of science which character of hyper-complex algebras which allows the traditional sciences to make sense had no use physically until it was realized in relation to other sciences. It offers also a that they represented special anomalous bridge between the Western Philosophic and systems that appear only rarely. It is these Scientific tradition and other traditions such rare systems that Alchemy studies. These as Buddhism, Sufism, and Taoism which systems exemplify the underlying explore the meaning of existence in terms of interpenetration of all things described by emptiness, annihilation or void. The Buddhist, Islamic and Taoist Traditional realization of the basis of traditional views of the world. Traditional sciences of sciences, including Alchemy, is a existence assumed the interpenetration of all fundamental step forward in our things in spite of their radical discontinuity in understanding of the wisdom of the past and existence. Modern Western experimental its comprehension of the place of man on science assumes continuity in the form of earth which we lack today. Being and atomic external discontinuity between the things themselves rather in the medium of spacetime. This is the Meta-Levels of Being or Psyche fundamental difference between traditional sciences and modern science. This gap is One of the interesting philosophical issues bridged by realizing that special systems are raised by Special Systems theory is the rare and thus exist but only peripherally in relation between it and the Being projected terms of the phenomena that science studies. on nature by the West. It turns out that Being However, because they are negentropic, these has four meta-levels (Pure, Process, Hyper, systems have an advantage over other and Wild) and that when we try to go to the systems so that once they exist then they tend fifth meta-level we encounter existence as to take over as they have done on our small something beyond Being. But what can be planet, which sports life of social groups said is that the differences between the meta- with consciousness. We know that this planet levels of Being ARE the special systems and is a rarity in the immediate universe. So these vice versa. Thus Existence articulates Being anomalies become important when we look and Being articulates Existence mutually. around at the part of the universe in which This allows us to develop a non-dual theory we live, because they are exemplified by us and this non-duality allows us to elucidate and the other creatures like us on this earth. problems like those of the nature of soul and What is even more interesting is that the spirit raised by archetypal psychology. Non- theory of the Emergent Meta-system gives us duality is a type of theory that supports what a theory of how Gaia, the "organism" of the is neither one nor two. In other words, non- earth is constructed. It is constructed based duality does not mean one or unified. Non- on these structures of interpenetration. Thus duality is another state that is not unified nor it is more than just a theory of the differentiated, i.e. it points at what is other constitution of life, consciousness, and the than the one or many. The model of social but also a theory of our relation to Existence producing Being and Being Gaia as the Earth environment of which we producing Existence allows us to articulate a are a part. theory which is non-dual in a very deep sense but still articulate. This is because what In essence the Special Systems Theory and special systems show us is the order etched the Emergent Meta-systems Theory is a into the emptiness or void that is prior to the rosette stone for understanding the relation arising of all things. Democritus said that 10
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