| 
			  
			  
			 
			
  by 
			Jeffrey Mishlove, PhD
 
			December 2001 
			from
			TWM 
			Website 
			recovered through
			
			WayBackMachine Website 
			
			
			German version 
			  
			
 
			  
			
			Space-Time According to Einstein
			 
			The special theory of relativity, formulated by Albert Einstein in 
			1905, is based on the experimentally confirmed idea that the 
			velocity of light is the same universal constant, c= 3x1010 
			cm./sec., for all observers who move uniformly in straight lines 
			relative to each other.
 
			  
			Consequently, Einstein’s genius deduced that 
			events which are simultaneous to one observer are not simultaneous 
			to a second observer.  
			  
			  
			 
			Nobel laureates 
			Albert Einstein, scientist, 
			and Rabindranath 
			Tagore, mystical poet
 
			  
			Furthermore, moving clocks run slow. 
			Moving measuring sticks contract in length along the direction of 
			motion.  
			  
			Energy is equivalent to mass - i.e. E = mc2. And 
			the mass of a particle increases to infinity as the velocity 
			approaches that of light. Einstein’s results have been confirmed 
			many times in physics laboratories.  
			Like all scientific facts, these results presuppose that the 
			observers are in a common state of consciousness whose legitimacy is 
			determined by their agreement or social contract. The legitimacy 
			accorded any scientific theory is a sociological matter. In fact, 
			one interpretation of quantum physics is that physical reality does 
			not objectively exist independent of the participating observers.
 
			Physicists use a simple geometric picture of the flat spacetime of 
			special relativity called a "Minkowski diagram." Relativity unites 
			space and time into a unified "four dimensional space-time 
			continuum" in which time appears in the distance formula with a sign 
			different from the sign of space. Events are conceived of as points 
			on the Minkowski diagram.
 
			  
			The history of a sequence of events is 
			described by a curve or path on the Minkowski diagram called a
			world 
			line.  
			 
			  
			Each event is the origin of a future light cone and a past 
			light cone. 
			 
				
					
					
					World lines that are everywhere inside the light cones 
			are called time-like and describe the history of particles moving at 
			velocities less than the velocity of light. 
					
					World lines that are 
			everywhere on the light cones are called light-like and describe the 
			histories of real photons, neutrinos and gravitons that move at 
			exactly the velocity of light. 
					
					World lines that are everywhere 
			outside the light cones are called space-like and would correspond 
			to tachyonic processes happening faster than the velocity of light.
					   
			 
			 
			  
			  
			Space-like processes, if they exist, 
			could be in two or more widely separated places at the same time. 
			 
			  
			Furthermore, these space-like processes allow the effect to precede 
			the cause for some observers and not for others. They are not 
			allowed in classical physics but are acceptable in quantum physics 
			according to some interpretations.  
			  
			Quantum transitions or "quantum 
			jumps" may be thought of as space-like processes. 
 
			  
			  
			Folded 
			Space
 
			Some psi researchers have attempted to use the concept of curved spacetime to eliminate some of the apparent paradoxes involved in 
			psi phenomena.
 
			  
			Psychologist Gertrude Schmeidler has suggested that 
			the universe may contain an extra dimension that permits 
			"topological folding" to occur so that two regions which are widely 
			separated in an Einsteinian universe might be in immediate contact, 
			much as two points on a towel which are normally quite a distance 
			apart may be adjacent when the towel is folded.  
			  
			Thus, apparent 
			instances of ESP across great distances might be explained by 
			postulating that the persons involved are somehow in close proximity 
			in the "folded" space. 
 Physicist John Archibald Wheeler (a man with pronounced 
			antipathy toward psi research) has theorized that, at a microscopic 
			level, quantum effects might tear the fabric of spacetime, producing 
			a structure involving wormholes. He speculated that such wormholes 
			could connect pairs of oppositely charged particles such as 
			electrons and positrons. Wheeler’s hypothetical structure is 
			sometimes called the "quantum foam."
 
			  
			Such wormholes may exist on a 
			macroscopic scale and, in some cases, rotating black holes may give 
			rise to a "tunnel" or shortcut to another region of spacetime.  
			  
			  
			 
 
				
					
						| 
						A 
						contemporary physicist, John Wheeler, has 
						expressed this new approach in particularly graphic 
						terms:  
							
							"We 
							had this old idea, that there was a universe out 
							there, and here is man, the observer, safely 
							protected from the universe by a six-inch slab of 
							plate glass. Now we learn from the quantum world 
							that even to observe so minuscule an object as an 
							electron we have to shatter the plate glass; we have 
							to reach in there... So the old word observer-simply 
							has to be crossed off the books, and we must put in 
							the new word participator. In this way we’ve come to 
							realize that the universe is a participatory 
							universe.  |    
			  
			Physicist Fred Alan Wolf has 
			implicitly suggested (in a cartooned text called Space, Time and 
			Beyond) that such wormholes may provide the connections needed to 
			explain psi phenomena over long distances or temporal intervals.
			 
			  
			  
			 
			Fred Alan Wolf
 
			  
			  
			  
			Wolf, himself, has become one of the 
			most prolific and articulate writers interpreting the complexities 
			of theoretical physics to a general audience - particularly those 
			interested in psi and consciousness.  
			  
			His book, 
			
			Parallel Universes, 
			is probably the best popular explanation of Everett and Wheeler’s 
			"many worlds" interpretation of quantum mechanics. 
 
			  
			  
			  
			
			Multidimensional Spacetime
			 
			Multi-dimensional models of spacetime have been proposed by 
			physicist/psi researchers 
			
			Russell Targ, 
			
			Harold Puthoff and 
			
			
			Edwin 
			May.
 
			  
			They proposed that ordinary four-dimensional Minkowski 
			spacetime may be the "real" part of an eight-dimensional complex 
			spacetime. 
 An eight-dimensional models of spacetime to account for psi have 
			also been proposed by physicist Elizabeth Rauscher. She suggests 
			that soliton waves in a complex multidimensional space might serve 
			as possible psi signals, as they would be able to propagate over 
			large "distances" with little attenuation. She asserts that signals 
			that appear to be superluminal in four-dimensional spacetime may be 
			subluminal in eight-dimensional spacetime.
 
			  
			She also contends that 
			the problem of causal loops arising from backward causal chains need 
			not arise in eight-dimensional spacetime.  
			  
			Rauscher suggests that any space-time 
			dependence that exists for psi effects may be accounted for in terms 
			of signal propagation velocities in complex spacetime. However, it 
			is not clear that Rauscher’s theory can be tested by this method 
			unless some means of measuring the complex coordinates are provided; 
			otherwise, they simply constitute free parameters that may be 
			adjusted at will, rendering the theory incapable of falsification.
			 
			A more comprehensive and sophisticated hyperspace model, developed 
			by Saul-Paul Sirag, is summarized in this section under the heading 
			of "unified field theories" and developed further in the Appendix.
 
 
			  
			  
			The EPR 
			Effect and Bell’s Theorem
 
			Recent theoretical developments in quantum theory known as the EPR 
			effect (named Einstein, Podolsky and Rosen’s 1935 paper on the 
			quantum connection between spatially separated systems), now 
			formulated in a theorem by John S. Bell (called
			
			Bell’s Theorem), allow for the an 
			instantaneous effect between any two places in the physical 
			universe.
 
			  
			There is no violation of Einstein’s theory of relativity 
			because the effect does not require the propagation of energetic 
			signals.  
			  
			The confirmation of this principle of nonlocality suggests 
			that psi phenomena, if they exist, need not be in conflict with the 
			established laws of science.  
			The prejudice of classical causality says that an event can only be 
			influenced by other events that are in its past light cone. Events 
			in the future light cone and outside the light cone in the "absolute 
			elsewhere" are said not to influence the event of interest. 
			Classical causality does work on the statistical level in which we 
			average our observations over sets of events. Almost all of the 
			measurements of atomic physics are adequately described by the 
			statistical limit of the quantum principle.
 
 However, both general relativity and quantum theory in the form of 
			Bell’s theorem show that classical causality is not correct in 
			principle on the level of individual events. Recent experiments by 
			John Clauser at U.C., Berkeley, and
			
			Alain Aspect at the University of Paris, 
			show that classical causality is violated for individual atomic 
			events. (Local causes operate within the velocity of light.)
 
			  
			These 
			experiments measure the simultaneous arrival of two photons at 
			spatially separated detectors. The two photons originate from the 
			same atom. Bell’s theorem enables one to calculate what the r`0d of 
			simultaneous arrival should be if the statistical predictions of 
			quantum theory are correct. It also enables one to calculate the 
			rate of simultaneous arrival if physical reality is objective and 
			locally causal for the individual photons.  
			The experiments of Clauser and Aspect contradict the rate of photon 
			coincidences predicted on the basis of an objective and locally 
			causal reality. The measured rate agrees with the prediction of 
			ordinary quantum theory. This means that physical reality either is 
			not subject to the principle of local causation or does not 
			objectively exist independent of the observers who participate in 
			its creation.
 
			Bell’s Theorem and the related experiments may have importance for 
			the understanding of personal human experience. The human brain 
			stores and processes its information at the level of single organic 
			molecules and is a single macroscopic quantum system. Acts of 
			consciousness may be viewed as incorporating quantum events.
 
 The illusion of the classical scientific paradigm that is shattered 
			by the quantum principle is the assumption that there is an 
			immutable objective reality "out there" that is totally independent 
			of what happens in consciousness "in here." Quantum theory forces a 
			new kind of logic in science that is still mathematical and 
			disciplined.
 
			  
			The Nobel prize physicist Eugene Wigner of Princeton 
			has repeatedly written that consciousness is at the root of the 
			quantum measurement problem.  
			  
			  
			  
				
					
						| 
						This is 
						called the "quantum measurement paradox." It is a 
						paradox because who are we to do this conversion? 
						Because after all, in the materialist paradigm we don’t 
						have any causal efficacy. We are nothing but the brain, 
						which is made up of atoms and elementary particles. So 
						how can a brain which is made up of atoms and elementary 
						particles convert a possibility wave that it itself is? 
						  
						It itself is made up of the possibility waves of atoms 
						and elementary particles, so it cannot convert its own 
						possibility wave into actuality. This is called a
						paradox. Now in the new view, consciousness is the 
						ground of being. So who converts possibility into 
						actuality? Consciousness does, because 
						consciousness does not obey quantum physics. 
						Consciousness is not made of material. Consciousness 
						is transcendent. 
						  
						Do you see the paradigm-changing 
						view right here—how consciousness can be said to create 
						the material world? The material world of quantum 
						physics is just possibility. It is consciousness, 
						through the conversion of possibility into actuality, 
						that creates what we see manifest. In other words, 
						consciousness creates the manifest world. |    
			  
			All classical measurements, including classical measurements of 
			quantum processes of the type considered by Heisenberg in his 
			"microscope" that leads to the uncertainty principle, involve the 
			actual flow of energy and momentum in order to convey information.
 
			  
			For example, Heisenberg reasons that the position of an electron 
			must be measured by means of a second particle, e.g. a photon, that 
			must collide with the electron in order to get the information on 
			the electron’s position. The fact that action is quantized in units 
			of Planck’s constant, h 10-27 erg-sec., implies uncontrollable 
			minimal energy and momentum transfers between photon and electron in 
			the collision.  
			  
			The result of Heisenberg’s thought 
			experiment is that it is impossible to predict the simultaneous 
			values of both the position and the momentum of the electron with 
			complete certainty. The only way to gain knowledge of the 
			uncertainties is to repeat the experiment many times under 
			"identically prepared" conditions. These kinds of classical 
			measurements of quantum processes are fundamentally statistical. 
 Josephson proposes that there may be another level of 
			measurement that transcends the limitations of Heisenberg’s 
			uncertainty principle.
 
			  
			He says that this limitation is perhaps only 
			a, 
				
				"reflection of the kinds of observation we can make," and that 
			"the physical description of the world would change radically if we 
			could observe more things."  
			Einstein was also firmly convinced that 
			there was another way to knowledge, but his refusal to accept the 
			"telepathic" implications that he saw so clearly in his
			EPR effect 
			prevented him, like Moses, from seeing the promised land.  
			  
			Thus, 
			Einstein’s Autobiographical Notes contain this remark about 
			the EPR 
			effect:  
				
				There is to be a system which at the 
				time t of our observation consists of two partial systems S1, 
				and S2, which at this time are spatially separated.... If I make 
				a complete measurement of S1, I get from the results...an 
				entirely definite Y-function Y2 of the system S2.  
				  
				The character 
				of Y2 then depends upon what kind of measurement I undertake on 
				S1.... One can escape from this conclusion only by either 
				assuming that the measurement of S1 (telepathically) changes the 
				real situation of S2 or by denying independent real situations 
				as such to things which are spatially separated from each other. 
				Both alternatives appear to me entirely unacceptable. 
			It is very interesting to note here that 
			the Y function referred to by Einstein is the standard quantum 
			probability function, referring to the mathematical probabilities 
			which underlay the subatomic interactions of the physical world 
			(i.e., Schrodinger’s Wave Function). 
			 
			  
			At least one physicist has 
			commented on the possible synchronicity that this physical term may 
			be very relevant in the psi effect of consciousness researchers.
			Physicists have actually developed a number of possible conceptual 
			strategies for integrating the EPR effect and Bell’s Theorem.
			 
			  
			Physicist Nick Herbert, in his book Quantum Reality, 
			describes eight possible interpretations:  
				
					
					
					there is no underlying 
			reality
					
					reality is created by observation
					
					reality is an undivided 
			wholeness
					
					there are actually many-worlds
					
					the world obeys a 
			non-human kind of reasoning
					
					the world is made of ordinary objects
					
					consciousness creates reality
					
					unmeasured quantum reality exists 
			only in potential 
			Each of these interpretations poses its own 
			paradoxes. Given Bell’s Theorem and the EPR effect, all of them must 
			allow for non-local (or superluminal) interactions.  
			  
			  
			  
				
					
						| 
						Nick 
						Herbert holds a Ph.D. in experimental physics from 
						Stanford University. He was senior scientist at Memorex, 
						Santa Clara, and other Bay Area hardware companies 
						specializing in magnetic, electrostatic, optical, and 
						thermal methods of information processing and storage. 
						He has taught science at all levels from graduate school 
						to kindergarten including the development, with his wife 
						Betsy, of a hands-on home-schooling science curriculum.
						 
						Nick was 
						the coordinator (along with Saul-Paul Sirag) of
						Esalen Institute’s physics and consciousness 
						program and has led many workshops on the quantum 
						mechanics of everyday life. He is the author of
						
						
						
						Quantum Reality: Beyond the New 
						Physics,
						
						
						
						Faster Than Light 
						(published in Japan under the title Time Machine 
						Construction Manual),
						
						
						
						Elemental Mind: Human 
						Consciousness and the New Physics, and he 
						devised the shortest proof of Bell’s interconnectedness 
						theorem to date.  |        
			 
			Nick Herbert 
 
			  
			  
			  
			The Implicate 
			Order  
			The nonlocal nature of the state vector collapse, as described 
			above, suggests that particles of matter are not accurately 
			describable as separate, localized entities.
 
			  
			Rather seemingly 
			isolated or separate particles may be intimately connected with one 
			another and must be seen as parts of a higher unity.  
			Physicist 
			David Bohm has referred to the 
			universe as a "holomovement," invoking an analogy to a hologram (a 
			three-dimensional photograph in which the entire picture is 
			contained in each part). Bohm has termed the world of 
			manifest appearances the "explicate order" and the hidden (nonlocal) 
			reality underlying it the "implicate order." He also proposes a new 
			mode of speaking, which he calls the rheomode, in which "thing" 
			expressions would be replaced by "event" expressions.
 
			In contrast with theories such as Evan Harris Walker’s and Saul-Paul Sirag’s, the implicate order theory lacks a specific mathematical 
			formulation from which testable predictions may be derived.
 
			  
			On the 
			other hand, the implicate order theory is consistent with and 
			provides a good philosophical underpinning for the testable 
			observational theories, such as those of Mattuck and Walker.  
			  
			  
			  
			Observational Theories
 
			Physicist Evan Harris Walker has put forth an observational theory 
			that equates the conscious mind with the "hidden variables" of 
			quantum theory.
 
			  
			  
			 
			Evan Harris Walker
 
			  
			Walker notes that, due to the 
			necessarily nonlocal nature of such hidden variables, quantum state 
			collapse by the observer should be independent of space and time; 
			hence, psi phenomena such as telepathy should be independent of 
			space-time separation.  
			Noting that the conventional view in physics is to deny that the 
			paradoxes of quantum mechanics have implications beyond the 
			mathematical formalisms, Walker defines his theory:
 
				
				The measurement problem in Quantum 
				Mechanics has existed virtually from the inception of quantum 
				theory. It has engendered a thousand scientific papers in 
				fruitless efforts to resolve the problem. One of the central 
				features of the controversy has been the argument that 
				characteristics of QM imply that an observer’s thoughts can 
				affect an objective apparatus directly, which in turn implies 
				the reality not only of consciousness but of psi phenomena.  
				  
				I 
				have written several papers saying that such a feature of QM is 
				not a fault, but rather represents a solution to problems that 
				go beyond the usual perview of physics. Thus, I have developed a 
				theory of consciousness and psi phenomena that arises directly 
				from these bizarre findings in QM, findings now supported by 
				specific tests of the principles of objective reality and/or 
				Einstein locality. 
			Walker specifies channel capacities for 
			various "regions" of mental activity.  
			  
			He calculates the rate for "dataprocessing 
			of the brain as a whole at a subconscious level" (S) to be euqal to 
			2.4 x 1012 bits/sec. The data rate for conscious activity (C) is 
			equal to 7.5 x 108 bits/sec, and the channel capacity of the "will" 
			(W) is equal to 6 x 104 bits/sec.  
			Walker’s derivation of the above rates is based on the assumption 
			that electron tunneling across synapses is the basis for the 
			transmission of impulses across synapses and that the large-scale 
			integration of brain activity is also mediated by electron 
			tunneling.
 
			Copenhagen physicist Richard Mattuck has proposed an observational 
			theory which builds on the work of both Helmut Schmidt and Evan 
			Harris Walker.
 
			  
			He asserts that PK results from the restructuring of 
			thermal noise through the action of mind, involving a decrease in 
			entropy. His hypothesis is "not of the ’Maxwell demon’ type" as "it 
			does not operate by selection of states of individual molecules, but 
			rather by the selection of macroscopic pure states." Using the 
			example of a moving ball, Mattuck notes that, as its velocity is 
			distributed about its current mean due to thermal noise, an observer 
			can select increasingly higher velocity states.  
			  
			This selection may 
			be made in steps, resulting in possible incremental increase in 
			velocity by the ball. 
 
			  
			  
			Unified 
			Field Theory and Consciousness
 
			A hyperspace model of consciousness has been developed by 
			interdisciplinary scholar Saul-Paul Sirag, at the Institute for the 
			Study of Consciousness in Berkeley and San Francisco’s 
			Parapsychology Research Group.
 
			  
			  
			 
			Saul-Paul Sirag
 
			  
			Further details of Sirag’s 
			work-in-progress are presented in the Appendix.  
			  
			In my estimation, 
			this work (while incomplete) represents the most advanced model 
			available linking consciousness at a deep level with physical 
			reality. I have been closely associated with Sirag since before he 
			began this work in 1974, when he was a research associate at the 
			Institute for the Study of Consciousness (ISC) in Berkeley. Frankly, 
			after years of detailed discussions with him, I still find it very 
			difficult to comprehend his model.  
			  
			I have included it as an Appendix 
			to the revised edition because I believe that Sirag may well be 
			speaking the language of the future in consciousness research.  
			  
			Here 
			is the story of the development of Sirag’s approach:  
				
				Arthur Young, the founder of the Institute (whose own "reflexive 
			universe" model is presented next this this section), asked Sirag to 
			work out the algebraic group structure of the rotations of the 
			tetrahedron.  
				  
				Young also encouraged Sirag to study the works of Sir 
			Arthur Eddington, the physicist who was famous for producing a 
			nearly incomprehensible unified field theory, which purportedly 
			unified gravity and electromagnetism as well as general relativity 
			and quantum mechanics.  
				  
			 
			Arthur M. Young
 
			  
			The key to this unification was also 
			group theory.  
			  
			Sirag was impressed by the fact that, although 
			Eddington’s work had been neglected for decades, the central 
			importance of group theory for unified field theory had become 
			established by recent physics.  
			Eddington’s unification was based upon the 4-element group called the Klein group K4. Eddington thought of this group as describing 
			the structure of the most elemental measurement: seeing whether or 
			not two rigid rods are the same length. He regarded group theory as 
			the solution to the mind-matter duality problem. His solution can be 
			stated in this way: insofar as as the mind can know matter, it has a 
			group structure isomorphic to that of matter.
 
			Eddington’s "structuralist" approach found support from an 
			unexpected quarter for Sirag when he came upon Piaget’s work on the 
			structure of the acquisiton of knowledge by children.
 
			  
			Eddington had 
			declared K4 to be the primary group structure of the acquisition of 
			physical knowledge by professional physicists because of his use of 
			K4 to describe the fundamental structure of measurement. Piaget 
			found, by testing children in precisely contrived situations, that 
			K4 was also the basic structure of children’s acquisition of 
			physical knowledge. Piaget’s names for the four elements of K4 are 
			well known: identify, negation, collaterality and reciprocity.
			 
			The problem, for Sirag, was that K4 as a mathematical group 
			structure did not offer sufficient complexity to capture the 
			richness of theoretical physics since the time of Eddington. He 
			assumed that there had to be a much larger group structure. He was 
			intrigued with the possibility that a larger, finite group structure 
			called S4 (with subgroup K4) was the right path to unification of 
			mind and matter. This idea took many years to mature.
 
			In 1977, Sirag published a short piece in the prestigious British 
			science magazine, Nature, that was both a criticism of and a tribute 
			to Eddington’s mass ratio derivation. Sirag was very impressed by 
			Eddington’s use of epistemological principles as a clue to unify 
			gravity and electromagnetism, and his attempt to account for the 
			fundamental pure numbers in physics by purely epistemological 
			reasoning.
 
			  
			Eddington’s program was too ambitious to be carried out 
			directly, Sirag thought, so as a kind of half-way measure, he tried 
			to reduce the number of pure numbers to be accounted for by 
			judicious combinatorial reasoning. This kind of reasoning led to a 
			rather extensive paper, "Physical Constants as Cosmological 
			Constraints" published in 1983. 
 In this paper Sirag showed that the physical constants determine the 
			large-scale structure of the universe in such a way that the 
			present-day scale factor - the "radius" can be calculated, as well 
			as the age and the density, and various other cosmological 
			properties.
 
			  
			Sirag hypothesized the age of the universe to be 32 
			billion years.  
			  
			This differs markedly from the usual statements of 
			10-20 billion yars. These numbers are really based on the 
			measurement of Hubble’s constant which Sirag has calculated as 15 
			kilometers per second per megaparsec (which implies a closed 
			universe), while the usual "measurement" is 50100 in the same 
			units, implying an open universe. Presumably the Hubble telescope 
			(due to be lofted in 1990) will settle the issue. (Should Sirag’s 
			predictions prove correct, he could be considered a possible Nobel 
			Prize candidate.)  
			Additionally Sirag presented a finite-group-algebra unification 
			model in January 1982 at the American Physical Society meeting in 
			San Francisco under the title, "Why There are Three Fermion 
			Families." This work is particularly significant as physicists have 
			recently confirmed that there are indeed exactly three families of 
			sub-atomic matter particles, as Sirag had predicted.
 
			  
			An Associated 
			Press article on the discovery quotes Nobel Laureate physicist 
			Burton Richter, Director of the Stanford Linear Accelerator Center, 
			as saying that the major mystery remaining is, 
				
				"why God chose three 
			families instead of one or nine or 47."  
			Burton had apparently not 
			read Sirag’s paper, as this precisely the issue Sirag has addressed.
			
 In his various published works, Sirag claims to have developed new 
			solutions for some of the most fundamental problems in all of 
			science: the age and size of the universe and the number of basic 
			subatomic building blocks. The predictions which he has made in 
			these areas stand to be either confirmed or refuted in the coming 
			decades.
 
			  
			It is from this theoretical work that his mathematical 
			theory of consciousness has emerged.  
			  
			While models of consciousness 
			are far more difficult to verify or falsify than models of the 
			physical universe, the logic of developing a model of 
			consciousness 
			from advanced views of physical reality is quite compelling. Whether 
			or not Sirag’s particular models are confirmed, it seems possible 
			that a successful physical-mathematical solution to the mind-matter 
			problem may eventually develop from the type of ambitious program 
			which Sirag has developed. 
 Sirag’s model of consciousness, as presented in the Appendix, could 
			be called a Pythagorean approach to consciousness, since Sirag’s 
			strategy is to look to mathematics for an appropriate structure to 
			describe the relationship between consciousness and the physical 
			world.
 
			  
			He finds that unified field theories of the physical forces 
			depend fundamentally on mathematical structures called reflection 
			spaces, which are hierarchically organized in such a way that an 
			infinite spectrum of realities is naturally suggested. 
 This situation is natural because mathematicians have discovered 
			that the hierarchical organization of reflection spaces also 
			corresponds to the organization of many other mathematical objects 
			- e.g. catastrophies, singularities, wave fronts, and contact 
			structures, error correcting codes, sphere packing lattices, and, 
			perhaps most surprisingly, certain regular geometric figures 
			including the Platonic solids.
 
			It is generally believed by physicists working on unified field 
			theory that space-time is hyperdimensional, with all but four of the 
			dimensions being invisible. The reason for this invisibility is a 
			major subject of research. Beside space-time dimensions, there are 
			also other internal (or invisible) dimensions called gauge 
			dimensions.
 
			  
			The reality of these gauge dimensions is also a topic of 
			controversy and research. In Sirag’s view both the extra space-time 
			dimensions and the gauge dimensions are real. This provides scope 
			for considering ordinary reality a substructure within a 
			hyperdimensional reality. This idea has, of course, been suggested 
			before - e.g. it is implicit in the Cave Parable of Plato. The 
			difference in Sirag’s approach is that the structure of the 
			hyperspace is defined directly by the properties of physical forces.
			 
			A further innovation in Sirag’s approach is that his version of 
			unified field theory embeds both spacetime and gauge space in an 
			algebra whose basis is a finite group. This group, which directly 
			models certain symmetries of particle physics, is a symmetry group 
			of one of the Platonic solids - the octahedron. Thus it is a 
			mathematical entity contained in the reflection space hierarchy.
 
			  
			In 
			fact the reflection space corresponding to the octahedron is 
			seven-dimensional and is also a superstring-type reflection space, 
			so that a link with the most popular version of unified field theory 
			is provided. 
 The central postulate of Sirag’s paper is that this 
			seven-dimensional reflection space is a universal consciousness, and 
			that individual consciousnesses tap into this universal 
			consciousness. This implies that the high level of consciousness 
			enjoyed by humans is due to the complex network of connections to 
			the underlying reflection space afforded by a highly evolved brain.
 
 Moreover, the hierarchy of reflection spaces suggests a hierarchy of 
			realms (or states) of consciousness.
 
			  
			Each realm would correspond to 
			a different unified field theory with different sets of forces. In 
			fact, the seven-dimensional reflection space is contained in an 
			eight-dimensional reflection space, and contains a six-dimensional 
			reflection space, so that there would be a realm of consciousness 
			directly "above" ordinary reality, and a realm of consciousness 
			directly "below" ordinary reality. In principle the relationship 
			between the different forces in these different realms could be 
			worked out in detail, so that precise predictions could be made.
			 
			Sirag believes that this hierarchy of realms of consciousness is 
			analogous to the spectrum of light discovered in 1864 by
			
			
			James Clerk Maxwell in his 
			electromagnetic theory of light, which unified the forces of 
			electricity and magnetism. Maxwell had no way of directly testing 
			his theory, which proposed the reality of frequencies of light both 
			higher and lower than that of ordinary light. He boldly proposed the 
			existence of invisible light, simply because his equations contained 
			the higher and lower frequencies.
 
			Similarly, in the unification of all the forces, we can expect 
			something new to be described, which could be the analog of light.
 
			  
			Sirag proposes that this new thing be consciousness, and that since 
			the mathematics of the unification gives reflection space a central 
			role, the hierarchy of reflection spaces suggests a hierarchy of 
			realms of consciousness. 
 
			  
			  
			Evaluating Implications of the New Physics
 
			One of the most fundamental developments in the past two decades has 
			been the experimental confirmations of the principle of nonlocality 
			in quantum mechanics and the realization of the importance of that 
			principle for a theory of psi phenomena.
 
			  
			If nothing else, this 
			breakthrough strongly suggests that psi phenomena, if they exist, 
			need not be in conflict with established laws of science.  
			At present, theories regarding psi are somewhat premature for two 
			reasons. We still lack a reliable data base and repeatable psi 
			effects upon which a theory might be constructed and refined.
 
			  
			We 
			also lack a comprehensive theory of consciousness itself, upon which 
			a theory of psi must, inevitably, be built. Thus many of the 
			theories discussed represent mere presentations of "theoretical 
			environments" in which more testable theories might be constructed. 
			Sirag’s "work in progress" as presented in the Appendix represents 
			the beginnings of a venture which, if successful, will run a course 
			of many generations.  
			A note of caution may be appropriate at this point. While I have 
			been focusing on the relationship between physics and consciousness, 
			this is only a short step from the issue of physics and mysticism. 
			It is in this realm that many physicists themselves, as well as 
			scholars of mysticism, feel that physics can have little to say.
 
			  
			
			Ken Wilber, for example, firmly maintains that the attempt to 
			prove the reality of mystical experience by resorting to scientific 
			arguments does a great injustice to genuine mysticism which is 
			self-supporting and timeless. Whereas scientific theories are in 
			constant flux. This is an important point, however, it is also 
			premature to assume that physics will never develop permanent and 
			complete answers. 
			 
			  
			After all, physics is based upon mathematics, and 
			that field does seem to have developed some permanent solutions.
			 
			  
			  
			 
			Ken Wilber 
			  
			  
				
					
						| 
						
						
						
						
						The Spectrum of Consciousness 
						
						
						
						Integral Psychology 
						and the Perennial Philosophy 
 
						Biological 
						and medical scientists are now in the midst of intensive 
						work on the Human Genome Project, the endeavor to 
						map all of the genes in the entire sequence of human 
						DNA. This spectacular project promises to 
						revolutionize our ideas of human growth, development, 
						disease, and medical treatment, and its completion will 
						surely mark one of the great advances in human 
						knowledge. Not as well known, but arguably more important, is what 
						might be called the Human Consciousness Project, 
						the endeavor, now well under way, to map the entire 
						spectrum of human consciousness (including, as well, 
						realms of the human unconscious). This Human 
						Consciousness Project, involving hundreds of 
						researchers from around the world, includes a series of 
						multidisciplinary, multicultural, multimodal approaches 
						that together promise an exhaustive mapping the entire 
						range of consciousness, the entire sequence of the 
						"genes" of awareness, as it were.
 |  
			  
			  
			  
			  
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