Chapter 11: Einstein, Kaluza-Klein And The Kleinbottle Universe

Chapter Summary

As a great deal of the controversy concerning the contemporary dilemma inherent in the sciences, the first part of this chapter deals with the strange reportage of Einstein’s last years, as far from being deluded or misguided, his own nagging intuitions concerning the nature of Ultimate Reality led to him to discard his own theories and turn instead to the work of Kaluza and Klein. His insights were astute, and yet even those who work within the area of String Theory, an orientation itself aligned with the later theories that Einstein was engaged with were somehow compelled to diminish Einstein and his more recent theories, adulating his earlier accomplishments and anchoring for the public a false impression of the state of contemporary physics.

This is followed by further explorations of alternative science that specifically reveal the truth about this higherdimensional reality that veils the subtle realm of the synchronous, the magical, and delightful interconnectedness of this world.

11:2 What Would Einstein Think?

Towards the end of his life Einstein himself was the subject of serious ostracism and humiliation. Like many scientists in their later years continuing to work until their end, and emancipated from the constraints of the academic world, Einstein continued to offer serious considerations even though they were contradictory to his own theory of General Relativity. Younger scientists who based their research on his foundation stone and were established in careers with bright futures ahead of them saw Einstein’s dissent from his own theories as indicative of possible senility, stubbornness and fanciful thinking. Or at least that is how a recent BBC documentary titled Einstein’s Unfinished Symphony would have us believe. It is extremely confusing to be faced with this information, knowing that by the late 1930’s Einstein’s interest had turn to considering the work of Kaluza which reinvoked ether physics and postulated at least five dimensions to space time. At the foundation of string theory is the work of Kaluza.

In a written review concerning this documentary and the work of string theorists Nash narrates the details as follows.

“Einstein was convinced that in the conflict between quantum mechanics and general relativity, it was the former that constituted the crux of the problem. "I must seem like an ostrich who forever buries its head in the relativistic sand in order not to face the evil quanta," Einstein reflected in 1954.

We know now, however, that it is Einstein's theory that ultimately fails. On extremely fine scales, space-time, and thus reality itself, becomes grainy and discontinuous, like a badly over magnified newspaper photograph. The equations of general relativity simply can't handle such a situation, where the laws of cause and effect break down and particles jump from point A to point B without going through the space in between. In such a world, you can only calculate what will probably happen next — which is just what quantum theory is designed to do.

Einstein could never accept that the universe was at its heart a cosmic crapshoot, so that today his papers on unified field theory seem hopelessly archaic. But the puzzle they tried to solve is utterly fundamental. In simply recognizing the problem, Einstein was so daringly far-sighted that only now has the rest of physics begun to catch up. A new generation of physicists has at last taken on the challenge of creating a complete theory — one capable of explaining, in Einstein's words, "every element of the physical reality." (Nash, 2000)

Einstein died knowing that he had become isolated from the scientific community; revered on the one hand, ridiculed for this quest on the other. Einstein had proposed that light was not only able to be considered as waves, but could be seen as individual particles or quanta, small packets of light. This discovery revolutionised physics and chemistry and became the foundation of a new science, quantum mechanics and through the observations of the new generation of physicists, reality was revealed as unpredictable and uncertain as one could observe either the speed of a particle but not its position or its position but not its speed, at least not with unlimited accuracy. Both aspects could not be observed simultaneously and this led to the concept of wave-particle duality. It was also revealed that the subjective mind of the observer could influence the results of experiments Neils Borh and Werner Heisenberg proclaimed the uncertainty principle and the principle of complementarity, describing reality as unpredictable and perhaps even a game of chance.

For Einstein the notion of God playing dice was anathema to his deepest understandings of reality. Einstein was always perplexed by a higher sense of meaning in the world and how to reveal this through the language of science. He wanted to know God's thoughts – considering the rest as mere details.

However, Einstein’s notion of God was subtly different to most Christian notions. Einstein was known to have been a reader of esoteric literature and is reported by his niece to have had Blavatsky’s Theosophical books, ‘The Secret Doctrine’ permanently on his desk. (Maurer 1997) For Einstein it was more likely that he considered the nature of God in terms of panentheism, which realises ultimate reality as both immanent and transcendent or simply as immanent where one single mind unities everything that is.

Einstein loathed the suggestion that the universe was built upon chance events and this clash with Neils Bohr became a clash of ideologies, yet perhaps in the complexities of such a debate, some of the more subtle understandings can be realized.

To explore this further, it is necessary to look further at the way in which the higher dimensions are revealing themselves and how the seemingly simplistic and practical mathematics of the ancients have reinvested contemporary mathematics with the dimensions that they have required to assist as a truer tool for doing science.

11:2:1  SYNCHRONICITY, FRACTALISATIONS, AND ISOEUCLIDEAN SPACETIME

The notion of chance and indeterminism, assumes randomness with no overarching form. No analogue of  design. No fundamental intelligence. No causative creation.  It was this sense of meaninglessness that Einstein was concerned for. Intuitively Einstein maintained that there could no random fall of the dice, that there must be something that glues everything together. His conviction to the sense of intelligent design, has been revealed through the implications of complexity theory. That is there is a higher order analogue that functions in a nonlocal higherdimensional manner.

From the work of Chris Illert,

‘In the second order mechanics growth trajectories are more complicated than just the equiangular spiral revealed in first-order mechanics. Second order theory reveals more complicated trajectories.’

“The principle Growth Trajectory, denoted T(Φ), was previously defined as the spiral curve through the centre of the shell-tube, traced-out by the centre-of-mass of the shell’s aperture (generating curve) throughout the course of shell growth. These coiled curves may be thought of as tensile clocksprings satisfying the second-order real-space matrix differential equations.

“This is all very classical, and ‘sensible’ but we should have realized from the second-order mechanics…that it isn’t quite what’s happening. Yes equation 1.6 looks causal, but the auxillary equations 1.7 and 1.10 require us to ‘know’ ahead of time in order to respectively define the velocity and the absolutely essential ‘average radius’ vector. Greenspan and Kanatani have already remarked upon this acausality within our kind of discrete mechanics…….Shells such as Yochelcionella, Phaphaulus, Rhiostoma Spiraculum all utilize self- intersecting clockspring trajectories actually BRANCHING at points of trajectory intersection after growing simultaneously along two separate branches of the clockspring!

 Some shells branch during the earliest developmental stages (as in Yochelcionella daleki, a self intersecting clockspring of the First Kind,…whilst others….wait almost until the end of ontogeny before branching. The palaeontologists who first studied these branching clockspring geometries described the shells as “curious”,  “ridiculous”, “Absurdities” but we can now see them as the same optimal tensile spirals which other non branching shells also utilize. And as trajectory-branching seems to occur widely, in unrelated species, the usual ‘once off’ biological explanations won’t suffice…..there is a deeper principle at work!

“It seems as if Janospira, at the instant of branching. “knew” (ahead of time) about the existence and location of a future portion of the clockspring trajectory….even though the outermost whorl had not, at the time of branching, actually looped about to (and indeed, never ultimately would) physically create the future intersection-point. We are talking here, about action with foreknowledge, action outside the expected linear Newtonian time sequence, rather as if an impending future event acted BACKWARD THROUGH (future) TIME to influence the present! (Illert 1995)

Illert the makes a reference to Lila Gatlin explaining that

“Tolman’s paradox forbidding time reversal information transmission is nonexistent and rests only upon our ingrained thought processes involving, hidden, unnecessary assumptions….although it will never be possible to design a system that transmits messages from the future upon request from the designer….this alone does not exclude the possibility that intermittent unrequested messages from the future may sometimes reach a simple computer or, particularly, living organisms, which are masterful information processing systems…..”(ibid)

In discussing the various issues raised in earlier conchology Illert says that the equations were confined entirely to real Euclidean space E³. The model ‘was subsequently improved by lifting the whole problem into what is called ISO-EUCLIDEAN space ¢³ named from the Greek isos-topos meaning preservation of the original configuration.’(Illert 1995)

“The resulting Isogeometries seem to obey the axioms of familiar real-space and we made an effort to emphasise the Newtonian-ness of our mechanics….yet isospace is in reality curved and forms that are different in normal Euclidean space may be unified in this more general geometry. Does it matter if space is Euclidean or Iso-Euclidean? Yes, actually! We already know that shell growth trajectories are iso Euclidean but, if we tried to force them into purely Euclidean space, they would wrinkle and the shells would crack or explode.”

Isoeuclidean geometry was discovered by Prof. Ruggero Maria Santilli. The pioneering work of Chris Illert indicates that whilst sea shells appear to be in our Euclidean space, (Santilli 1995) they actually exist in higherdimensional isoeuclidean spacetime. Isoeuclidean geometry realizes the HIDDEN dimensionality ENFOLDED in the point, just like the neck of the Kb observed as a point in only 3D (Johansen) That there is dimensionality of the trivial unit, a concept not unconsidered by the ancients, (Schwaller de Lubricz 1986, 1991) whilst Euclidean geometry prescribes zero dimensionality to the trivial unit or point. Physics realizes that the fundamental units of spacetime are dimensional, and have called them plank units. In Euclidean geometry a series of dimensionless points make up a line of one dimension, however if there was no dimension in a point, its potential to unify as a chain of zero dimensional points to create a dimension is counterintuitive. This is one of the problems that “A Square” was offered in his conversation with the sphere.

We have to then ask ourselves very seriously, why is it that we reduce geometry by a dimension? Why do scientists rely on Euclidean geometry even though they know that it is an untrue schematic  only useful for localized and ordinary applications?  The answer to this will relate to the fact that we also consider the stuff of matter to be rigid. Is it possible that the only truly rigid bodies are those that are manmade?

For the sake of simplification, have we reduced our sciences to the point of only comprehending the man made world, which is inert and lifeless in comparison to the real world that is full of growth, transformation and dynamically creative processes.

Like the bifurcating patterns of the Mandelbrot set, the growth trajectories of the seashells are generating the entire structure in a bifurcating repetition of fundamental analog. Temperal constraints are not similarly not as they seem to appear, revealing the growth of seashells to be acausally formed, that is they are examples of nonlocal atemporal formation.

It is difficult to stress how important Illert’s research is, as to have such credible proof of a living system mapped with a mathematical analog that allows replication of the exact form, is evidence of the nature of living systems existing in higherdimensional spacetime.

In the work of Eric Trell, the importance of ancient geometrisations of numbers and arithmetic has proven to be extremely significant. He points out the geometry that Euclid learnt from his Ionian teachers was originally based on watching how people built and the measurement of volume by the number of cubes with sides of standard length required to fill a solid space was probably first used by the Sumerians.

Trell tells us there  are two main continuous alternatives concerning the process of building. One process has been brought to the fore both theoretically by Roger Penrose and in recent research realised by Velikov et al, which concerns nanotechnological ‘layer -by -layer’ material self-aggregation and self-organisation which he describes as a stepwise eccentric winding over the surface of the expanding box, and this has been used to ‘literally underpin a previous proof of Fermat’s Last Theorem. The other which he says is the most straightforward at the bottom level is to first pave the floor, starting by a row from a corner along the side, then turning for the next row, and so on till the ground square is or rectangle is filled.

Then with unbroken succession in reverse order in the next tier, and so on, till the box is filled in hence in a really analytical way, too ie, continuous, spacefilling, and non-overcrossing.

Importantly, what early disappeared in the West was Diophantus’s arithmetica (written in Alexandris) until its rediscovery in the 1560’s.

“And Importantly, what was gradually introduced in the meantime, first in parallel, then in monopoly, was the idea of ‘pure numbers’ (Goldfield) ie. Spatially one- or nil- dimensional algebraic entities, rather easy to distinguish up to a hundred or so, but both practically and philosophically harder to figure out as truly separate individuals towards and between, for instance 1234567890 and (1234567890 -1). Yet they live on, and evacuated from full space they cause that cumbersome inconsistency and roundabout that is expressed also in the modern Diophantine equation methods when at the most mapping there the artificially spotted discrete members out of the perse continuous infinite one-dimensional….real number line…to a two-dimensional plane” (Trell 2005)

Trells work is significant not simply in his overarching historical analysis of indigenous mathematics, the implications are enormous. Mapping space in such a way is already dimensionalised in such a way that there are no limits to the tangibility of describing n dimensions previously undisclosed by the Cartesian Euclidian system.

“It has earlier been shown that in its equally physical as mathematical modality of

extensiveness and span, Euclidean space, together with the genuine Diophantine

equations and prima facie demonstrations of Fermat´s Last Theorem as well as Beal´s

Conjecture, virtually bootstraps itself by a hierarchical self-aggregation from the

ground Lie neighborhood constituted by 23 infinitesimal ‘cuBit’ eigenvectors in

ready Cartesian coordinate system arrangement over a successive expansion of

exponentially larger parallelepiped domains ascending towards infinity. As a faithful

stereographic representation of Santilli’s iso-, geno- and hypermathematics,

spheroidally symmetric matter is engendered therein as a canonical Lie algebra

SO(3) x O(5) phase transition in the local neighborhood, and an understanding and

reproduction of the morphogenesis of larger structures and compounds can be

pursued in the same serial order of continuing ‘mortise and tenon’ reciprocity

between the engaged portions of the space and matter moieties. In this mutual

realization, the preferential structure of certain types of protein becomes natural, and

by the ascending, ‘bottom-up’ architecture at hand, specifically folded organic matter

including DNA and polypeptides is rendered altogether exact, stable and

reproducible. This is of importance as now possible to emulate in detail since

it is increasingly recognized that, for instance, proteins exert their distinctive

actions directly by interlocking form and, conversely, may cause neuro-and

other degenerative disorders by certain fold-induced conformation changes.

Going back to the entirely immanent, entirely self-similar partition of the aboriginal

three-dimensional Pythagorean-Platonic-Euclidean ethereal-mathematical-physical

world-panel, out buds the atomic, indivisible, 'cuBit' monad, One, which in itself

embodies all the properties there and in a Cartesian co-ordinate system is also

directly spanning its spatial/numerical co-ordinate value (1,1,1). By such regular

and precedent formula, where the numbers and their genuine powers and fractions

and Diophantine equations don't by proxy tile imaginary planes but by themselves

tessellate real space, everything else follows spontaneously.” (Trell2006)

11:2:2 Unfinished Symphony, Unsettled Mind

Einstein knew that the World was not sufficiently described with quantum mechanics and there were flaws with his own Theory of Relativity. The work Prigogine, Santilli, Illert and Trell and so many other, are a testament to such an sense of ill-ease expressed in the face of the current epoch in knowledge. 

Returning to Einstein’s intuitions, his dismissal of indeterminancy and chance was a dismissal of reductionist methodologies that resist recognizing the form, meaning and purpose of life. His striving to locate ‘God’ in the ‘creation’ was not a trivial pursuit of platitudinous postulations that revolve in chicken and egg circularity. His quest was far more sophisticated. His faith in science transcended the mere separation the plagues the work of such authors like John Polkinghorne, (1991) who is content to allow the insufficiencies of his physics, content to submit to entropy, and in turn his theology remains benign and impotent, in separation, from the laws his science upholds. Clearly, Polkinghorne finds resonance in the anthropic principle, and like most scientists who advocate intelligent design, they assume not that there are flaws in their science, not that physics is incapable of mapping the life’s, but that there are flaws in the way humans perceive and experience their subjective realities. To return to the unity of the sciences mapping our experience of the world (Einstein 1936) is to return to the unity of the subjective and objective. As Pope recognized in his dismay at entropic science, the discovery of fractals leads us back to life. (Pope 2001)

What a fractal science offers us is the illustration of holographic analogues. The walk of bifurcation between binary opposites is not wholly true. A Study of symbolism reveals the interconnectivity of concepts and things. Whilst the antithetical relationships of a thing are inherent in it, the movement between the two opens a broader vision of meaning. What I am trying to say is that the wholeness of a concept and the wholeness of its antithesis, breaks open the conceptual boundary of categorical discreteness. The bifurcation between opposites is not simply a movement between two, but as Johansen pointed out, is a rising up the ladder of conceptual expansion. Like a Jacobs ladder, the movement flows through in a DIAGONAL manner, as each conceptual unit opens to reveals its other, it in turn opens to reveal new attributes which in turn open to reveal more and so on. It is dynamic, and electromagnetic.

The resonance of meaning is one that has the potential to see “god in a grain of sand” to see “all in nothing”. The aliveness of such a higherdimensional reality, where the wave aspect is a universal aspect of all physicality, the nondual-duality, and the quantum potential is both immanent and transcendent, and the many worlds are the potential ideal formed from the conscious projection of living sentience, the indeterminism is only a local reading as is chance. To consider that there is a chaotic indeterminism and chance filled reality, is to reduce causality down to the mere causation between material bodies. Synchronicity, raises this reductive interpretation into the realm of meaningful association. Unity, interconnectivity and fractal Klein Bottle logic, assumes that there are simple algorithms that generate complexity.

"As Jung has earlier pointed out, it is the nature of synchronicity to have meaning and, in particular, to be associated with a profound activation of energy deep in the psyche. It is as if the formation of patterns within the unconscious mind is accompanied by physical patterns in the outer world. In particular, as psychic patterns are on the point of reaching consciousness then synchronicities reach their peak; moreover, they generally disappear as the individual becomes consciously aware of a new alignment of forces within his or her personality.

"Synchronicities are therefore often associated with periods of transformation; for example, births, deaths, falling in love, psychotherapy, intense creative work, and even a change of profession. It is as if this internal restructuring reduces external resonances or as if a burst of 'mental energy' is propagated outward into the physical world."

(Peat, 1987)

In Einstein’s essay, “Physics and Reality” (1936) it is obvious that his enquiries were not the subject of a deluded mind, but were the wisdom of an unsatisfied mind striving for some realization of unity.

“The desire to have, for the foundations of the theory, the greatest possible unity has resulted in several attempts to include the gravitational field and the electromagnetic field in one unified formal picture. Here we must mention particularly the five-dimensional theory of Kaluza and Klein. Having considered this possibility very carefully, I feel that it is more desirable to accept to lack of internal uniformity of the original theory, because I do not think that the totality of the hypothesis at the basis of the five-dimensional theory contains less arbitrary features than does the original theory.” (1954)

In 1938, with P. Bergmann, Einstein wrote a paper entitled, “On a Generalization of Kaluza's Theory of Electricity”:

“So far, two fairly simple and natural attempts to connect gravitation and electricity by a unitary field theory have been made, one by Weyl, the other by Kaluza. Furthermore, there have been some attempts to represent Kaluza's theory formally so as to avoid the introduction of the fifth dimension of the physical continuum. The theory presented here differs from Kaluza's in one essential point; we ascribe physical reality to the fifth dimension whereas in Kaluza's theory this fifth dimension was introduced only in order to obtain new components of the metric tensor representing the electromagnetic field."

 “If Kaluza's attempt is a real step forward, then it is because of the introduction of the five dimensional space. There have been many attempts to retain the essential formal results obtained by Kaluza without sacrificing the four dimensional character of the physical space. This shows distinctly how vividly our physical intuition resists the introduction of the fifth dimension.”

”But by considering and comparing all these attempts one must come to the conclusion that all these endeavours did not improve the situation. It seems impossible to formulate Kaluza's idea in a simple way without introducing the fifth dimension.

“We have, therefore, to take the fifth dimension seriously although we are not encouraged to do so by plain experience. If, therefore, the space structure seems to force acceptance of the five dimensional space theory upon us we must ask whether it is sensible to assume the rigorous reducibility to four dimensional space. We believe that the answer should be "no," provided that it is possible to understand, in another way, the quasi-four dimensional character of the physical space by taking as a basis the five dimensional continuum and to simplify hereby the basic geometrical assumptions.[…]

“The most essential point of our theory is the replacing of …rigorous cylindricity by the assumption that space is closed (or periodic).[…]

“Kaluza's five dimensional theory of the physical space provides a unitary representation of gravitation and electromagnetism. […]

“It is much more satisfactory to introduce the fifth dimension not only formally, but to assign to it some physical meaning.”( Laura Knight)

In “Science paradox and the Mobius principle” Stephen Rosen provides us with an “intuitist” critique of Kaluza Klein is formalism, which he says can be equally applied to Quantum Mechanics. ‘The reality most of these theories seeks to describe is a mere artifact of the formalism thus it must be regarded as being but nominally real’ and points to a minority group of theorists Bohm, Stapp and Josephson who ‘have sought a form of realism that is more than merely nominal.’ It is through the Kleinbottle that we transcend this nominal understanding of ultimate reality and finally enter the domain of truth.

In terms of the string theorists, it is surprising that scientists like Brian Greene and others who were interviewed, did not bring forward the remarkable nature of Einstein’s ability to swim against the stream, without any support, denying his earlier theories in the face of ridicule. The arrogance of the younger scientists and the lack of sensitivity offered to such a biography, is indicative of the lack of respect the westerns offer to their elders, and indeed in to each other. The sense of defense and possession runs through this culture like fire. Defending one’s work, one’s pride, one’s manhood. This stance is ultimately destructive and perpetuates a faltering progression.

The process of evolution is itself nonlinear. Knowledge and information are formulated with the same dynamics as a system. The nonlinearity of a system moves forward by constantly feeding back into the past.

With the extraordinary insights of Quantum Physics, the very systems of knowledge that were negated in the late 1800’s became significant in light of the new orientation that quantum physics offered. Maxwell’s demonology has been mentioned, and Kaluza’s work. The ability to move nonlinearly is a natural progression, which is obvious. Every new day of experiences feeds back into the human consciousness and informs what is there. In this way new upgrades of software feedback into the system of the original foundational software and the level of perfection is increased. This thesis is naturally nonlinear, as is a brain that functions with the creative right brain and the analytical left brain united, the deeper reason for the arts and sciences to reunited. To be stuck in one hemisphere and more importantly to reduce one’s focus, disables the natural evolutionary development of truth. It is an unfortunate need for this western culture to attempt to fix reality with a codified truth. Historians are constantly utilizing the propaganda of the past to fix some idea of the way things were. To assume that history is truth, is to give power to the fiction of propaganda, and to the perceptions of the few. Having said this, historical investigation is a good example of a constantly evolving nonlinear process, as the more that is discovered in the present, the more the past is able to be revised.

11:3 DIAGON-ALLY: LIFES MYSTERIOUS REALMS OF HYPERDIMENSIONALITY

To map a rigid body, let us take a simple sphere, any straight longitudinal or latitudinal “walk” over its curved surface, will return the walker to the point of origin and trace out a simple circle. However, if one walks in a diagonally skewed track, the potential to trace a path over much more of the sphere’s surface is realized.

Often such “string things” are relegated to the benign studies of craft that are not comprehended for their meaning, implications nor for any purpose. It is most likely that the study of such things is considered of no value and often only students who struggle to conform to normal academic requirements of schools and find themselves in the ‘lower’ classes, get the chance to work with such curiosities. There is however, no extension into cosmology offered with these types of lessons, nor is there any extension offered to the contemplation of Platonic shapes and sacred geometry. It is a major step forward that contemporary maths text books offer teenagers a glimpse at the curious world of topology, but again there is no comprehension of its value, nor applicability. It is obvious that the entire way in which the younger generations are schooled is geared to vocational outcomes, without any value placed on the creative aspects of the sciences and arts. The distance between the stimulating thoughts are filtering in through fictional sources, that is through novels, films, children’s TV serials, and the factual information that they are force fed in schools is becoming more and more disparate. There is the potential though to redefine knowledge, through a unity of the separate disciplines, and through such reform, the potential for interest and enthusiasm to be ignited may be the very shift necessary to curb what has become a seriously formalized and rigid process of the dissemination of information that is at best questionable.

11:3:1: KNOT PATTERNS AND DIAGONAL WEAVE

Celtic and Nordic knot patterns reveal diagonally woven continuously unbroken cosmological representations. There are striking similarities between the nine world cosmology of the Norse and the Tjuringa Stone of the Aboriginals.  All of the cosmological constructs of indigenous and nonliterate Neolithic societies contain ideas of interconnection, unity, wholeness, dynamic systems, etc is apparent. Spirals, circles, and concentric circles are all indications of a geometrisation of cosmology that is perceived as cyclic, continuously generative and non entropic.

The diagonally woven, knotted patterns of the Celtic designs indicates a significant honoring of the sacred nature of the universe. Often the motifs are joined beginning to end, generating a continuous pattern that interconnects the whole in a matrix of woven complexity.

The spiral figures in all cultures as a symbol of divine proportion inherent in natural forms. (Jill Purce  1974 )

“The Universe and Man’s Consciousness (The macrocosm and the Microcosm) consist in a continuum and a dynamic whole; this can be expressed by the spiral when, instead of ending, it is drawn either round a sphere or a donut ring, so that it joins up with itself by spiralling through its own middle. This symbol, which is perpetually turning in on itself, expanding and contracting has an interchangeable centre and circumference, and has neither beginning nor end: it will be referred to here as the spherical vortex..”

Although both examples above rely on the toroidal construct to perceive the nature of reality,  it is the Kleinbottle that is provide more potential for the fine details of not only the ancient cosmologies but of the necessary unification and radical recursion discussed by Rosen. It is difficult at this point to make conjectures about the shape of spacetime however the most significant candidate seems to be the Phrygian Cap model. There is an asymmetry and it unifies the inner and outer realms. It is able to constantly rotate around its axis unlike the classical Kleinbottle which opens out to the Ouroborus.

There have been numerous postulations that the universe is just that, an Ouroborus for some, a Moebius strip for others, the significant unifying attribute in the Hypothesis is the unificatory double curciut. (Bartlett 2004) This is a Moebius and Kleinbottle function, an attribute not present in the torus. It is this function that Illert refers to as the topology behind all of the seashell growth patterns and plant growth patters that Reverberi has explored.(Illert and Reverberi 1988)

Physicists are searching for a new language, not only to express this continuum, but also to express the cyclic nature of space and time. The understanding, for example, of the Sufi mystic Ibn ‘Arabi, who says that every cause is the effect of its own effect’, is of an order of significance necessary for the physicists discussing the nature of matter, who say that, among strongly interacting sub-nuclear particles, each particle helps to generate every other particle, which in turn generates it. Like space, time is also curved. They are complementarily entangled. And, indeed, in a science he has called geometrodynamics-‘the dynamics of the geometry of curved empty space’- a foremost cosmologist, J.A. Wheeler, describes how the very structure of the universe is none other than a vortex ring- a manifestation of the universal spherical vortex. (The fact that he assumes it to be empty however is contrary to the growing interest in ether physics, and indicative of Wheelers reductionist tendencies)

As Matti Pitkanen reveals in his Quantum Model of Paranormal Phenomena, “it is in

Topological Geometrodynamics framework  (that) Remote mental interactions can be understood using a model generalizing: the vision about endogenous biocontrol so that the sender and receiver of the control signal can be different organisms “(Pitkanen 2006)

The ultimate question however is to what extent we rely on technology as the incubator of our ultimate potential. We are still up on the branches of the tree of deformed knowledge.

And the question that I posed earlier concerning ‘rigid” bodies and whether or not the only truly rigid body is inherent in the technological creations of man is non trivial.

The cosmological geometries that have been assumed by the dominant paradigm of contemporary science to have all of the necessary elements to interpret the nature of the universe, are astoundingly simplistic and superficial. Resorting to only three main shapes for many decades, it has only been a relatively recent consideration to look at other potential shapes to explain the complexity of the universe. The three main considerations have been a universe of positive curvature, a universe of negative curvature and universe of zero curvature.

Limited by oversimplified Euclidean abstractions and reductionist physics, and in all truth, sheer faith in the hierarchy of professionals, this form of cosmological description has been a paradoxically benign yet malignant growth into an inverted science of death. Through higherdimensional topological structures, and through the iso-euclidean geometry of Ruggero Santilli, a the veil of nature herself may be fully lifted.

11:3:2 SHIELA MORGAN AND HER DIAGONALLY WOVEN KLEIN BOTTLE

Shiela Morgan is a retired science teacher living in Newcastle. I first met her when she attended and presented lecture to the Department of Philosophy at Newcastle University. Her extraordinary excursions into the realm of spacetime developed out of her interest in mathematical puzzles, weaving and spinning. She was challenged by the idea that the Klein bottle was an impossible shape to create in ordinary 3D space.

When I first met Shiela, I had some years prior, set out on a journey to find the shape that could reconcile opposites. As the result of my Master thesis (‘A Point In Time As We Create The Future’ 1990) I was obsessed to find an appropriate shape that would illustrate the unifying relationships between opposites. When I first met Shiela, she was giving a seminar on the Kleinbottle, for the Philosophy Department at the University of Newcastle. It was about 1994 and I was lecturing with the Education Department, and intending to begin a PhD.

Watching Shiela manipulate her material Kleinbottle models, I immediately saw the correspondence between a simple sketch which I had drawn to depict the closest approximation of a shape that might be sufficient in reconciling opposites, and herKlein bottle. I was struck by an AHHA moment and recognised then that the Pelican Christus and the Ouroborus both signifying the Mercurious (the essence of the universe) wher two postures of the one shape, the Klein bottle.

Although Shiela was completely perplexed when I went to her after the presentation and with my usual enthusiasm and tears in my eyes, blurted out the most concise statement that I could muster:  “Do you know what this is, it is the Pelican Christus and the Ouroborus which are both the Mercurious!” It was obvious to her that I seen the importance of the object that she had come to see as ‘god’ with a very small ‘g’. Shiela is not an idealist, nor is she a particularly religious person, although she appreciates the silence of the Quakers. Her statement was indicative of a higher order thought construct and she could see everything in the simple expression of unity that was particularly realised in her diagonally woven Kleinbottle.

Soon after we came to collaborate on this work and as we come from such different backgrounds we have been able to extend the interpretation of this structure into some surprising arenas.

The following statement is the most elegant statement of Klein bottle metaphysics and therefore of reality. Not only as it reveals significant information concerning the Klein Bottle itself, but symbolically the actual transcription of the symbols, that is, the placement of a zero and an infinity symbol in a unified configuration create a Klein Bottle.