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TGD Inspired Theory of Consciousness
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Psychedelic induced experiences as key to the understanding of the connection between magnetic body and information molecules?
There is a book about psychedelics titled as "Inner paths to outer space: Journies to Alien Worlds through Psychedelics and Other Spiritual Technics" written by Rick Strassman, Slawek Wojtowicz, Luis Eduardo Luna and Ede Frecska (see this). The basic message of the book is that psychedelics might make possible instantaneous remote communications with distant parts of the Universe. The basic objection is that light velocity sets stringent limits on classical communications. Second objection is that the communications require huge amount of energy unless they are precisely targeted. The third objection is that quantum coherence in very long, even astrophysical scales is required. In TGD framework this argument does not apply.
In Zero Energy Ontology (ZEO) communications in both directions of geometric time are possible and kind of time-like zig-zag curves make possible apparent superluminal velocities. Negentropic quantum entanglement provides second manner to share mental images, say sensory information remotely. The proposed model leads to a general idea that the attachment of information molecules such as neurotransmitters and psychedelics to a receptor as a manner to induce a remote connection involving transfer of dark potons signals in both directions of geometric time to arbitrarily long distances. The formation of magnetic flux tube contact is a prerequisite for the connection having interpretation as direct attention or sense of presence. One can see living organisms as systems continually trying to build this kind of connections created by a reconnection of U-shaped flux tubes serving as magnetic tentacles. Dark matter as a hierarchy of phases with arbitrary large value of Planck constants guarantees quantum coherence in arbitrary long scales.
The natural TGD inspired hypothesis about what happens at the level of brain to be discussed in sequel in detail goes as follows.
Error correcting codes code n information qubits to the entanglement of N>n physical qubits. Additional contraints represents the subspace of n-qubits as a lower-dimensional sub-space of N qubits. This redundant representation is analogous to the use of parity bits. The failure of the constraint to be satisfied tells that the error is present and also the character of error. This makes possible the automatic correction of the error is simple enough - such as the change of the phase of spin state or or spin flip.
Negentropic entanglement (NE) obviously gives rise to a strong reduction in the number of states of tensor product. Consider a system consisting of two entangled systems consisting of N1 and N2 spins. Without any constraints the number of states in state basis is 2N1× 2N2 and one as N1+N2 qubits. The elements of entanglement matrix can be written as EA,B, A== ⊗i=1N1 (mi,si), B== ⊗k=1N2 (mk,sk) in order to make manifest the tensor product structure. For simplicity one can consider the situation N1=N2=N.
The un-normalized general entanglement matrix is parametrized by 2× 22N independent real numbers with each spin contributing two degrees of freedom. Unitary entanglement matrix is characterized by 22N real numbers. One might perhaps say that one has 2N real bits instead of almost 2N+1 real qubits. If the time evolution according to ZEO respects the negentropic character of entanglement, the sources of errors are reduced dramatically.
The challenge is to understand what kind of errors NE eliminates and how the information bits are coded by it. NE is respected if the errors act as unitary transformations E→ UEU† of the unitary entanglement matrix. One can consider two interpretations.
Gauge invariance has turned out to be a fundamental symmetry principle, and one can ask whether unitary entanglement matrices assuming that only the eigenvalues matter, could give rise to a simulation of discrete gauge theories. The reduction of the information to that provided by the diagonal form be interpreted as an analog of gauge invariance?
During years I have been thinking how quantum computation could be carried out in TGD Universe (see this). There are considerable deviations from the standard view. Zero Energy Ontology (ZEO), weak form of NMP dictating the dynamics of state function reduction, negentropic entanglement (NE), and hierarchy of Planck constants define the basic differences between TGD based and standard quantum measurement theory. TGD suggests also the importance of topological quantum computation (TQC) like processes with braids represented as magnetic flux tubes/strings along them.
The natural question that popped in my mind was how NMP and Zero Energy Ontology (ZEO) could affect the existing view about TQC. The outcome was a more precise view about TQC. The basic observation is that the phase transition to dark matter phase reduces dramatically the noise affecting quantum quits. This together with robustness of braiding as TQC program raises excellent hopes about TQC in TGD Universe. The restriction to negentropic space-like entanglement (NE) defined by a unitary matrix is something new but does not seem to have any fatal consequences as the study of Shor's algorithm shows.
NMP strongly suggests that when a pair of systems - the ends of braid - suffer state function reduction, the NE must be transferred somehow from the system. How? The model for quantum teleportation allows to identify a possible mechanism allowing to achieve this. This mechanism could be fundamental mechanism of information transfer also in living matter and phosphorylation could represent the transfer of NE according to this mechanism: the transfer of metabolic energy would be at deeper level transfer of negentropy. Quantum measurements could be actually seen as transfer of negentropy at deeper level.
For details see the chapter Negentropy Maximization Principleor the article Quantum Measurement and Quantum Computation in TGD Universe
The talks in the conference Towards Science of Consciousness 2015 held in Helsinki produced several pleasant surprises, which stimulated more precise views about TGD inspired theory of consciousness. Some of the pleasant surprises were related to quantum cognition. It is a pity that I lost most of the opening talk of Harald Atmanspacher (see this).
The general idea is to look whether one could take the formalism of quantum theory and look whether it might allow to construct testable formal models of cognition. Quantum superposition, entanglement, and non-commutativity, are the most obvious notions to be considered. The problems related to quantum measurement are however present also now and relate to the basic questions about consciousness.
The most general view is that negentropic entanglement NE corresponds to algebraic entanglement with entanglement coefficients in some algebraic extension of rationals. The condition that the outcome of state function reduction is eigenspace of density matrix fixes the density matrix of the final state to be a projector with identical eigenvalues defining the probabilities of various states.
But what if the eigenvalues and thus also eigenvectors of the density matrix, which are algebraic numbers, do not belong to the algebraic extensions involved. Can state function reduction reduction occur at all so that this kind of NE would be stable?
The following argument suggests that also more general algebraic entanglement could be reasonably stable against NMP, namely the entanglement for which the eigenvalues of the density matrix and eigenvectors are outside the algebraic extension associated with the parameters characterizing string world sheets and partonic 2-surfaces as space-time genes.
The restriction to a particular extension of rationals - a central piece of the number theoretical vision about quantum TGD - implies that density matrix need not allow diagonalization. In eigen state basis one would have has algebraic extension defined by the characteristic polynomial of the density matrix and its roots define the needed extension which could be quite well larger than the original extension. This would make state stable against state function reduction.
If this entanglement is algebraic, one can assign to it a negative number theoretic entropy. This negentropic entanglement is stable against NMP unless the algebraic extension associated with the parameters characterizing the parameters of string world sheets and partonic surfaces defining space-time genes is allowed to become larger in a state function reduction to the opposite boundary of CD generating re-incarnated self and producing eigenstates involving algebraic numbers in a larger algebraic extension of rationals. Could this kind of extension be an eureka experience meaning a step forwards in cognitive evolution?
If this picture makes sense, one would have both the unitary NE with a density matrix, which is projector and the algebraic NE with eigen values and NE for which the eigenstates of density matrix outside the algebraic extension associated with the space-time genes. Note that the unitary entanglement is "meditative" in the sense that any state basis is possible and therefore in this state of consciousness it is not possible to make distinctions. This strongly brings in mind koans of Zen buddhism and enlightment experience. The more general irreducible algebraic entanglement could represent abstractions as rules in which the state pairs in the superposition represent the various instances of the rule.
The vision about p-adic physics as physics of cognition and imagination has gradually established itself as one of the key idea of TGD inspired theory of consciousness. There are several motivations for this idea.
The strongest motivation is the vision about living matter as something residing in the intersection of real and p-adic worlds. One of the earliest motivations was p-adic non-determinism identified tentatively as a space-time correlate for the non-determinism of imagination. p-Adic non-determinism follows from the fact that functions with vanishing derivatives are piecewise constant functions in the p-adic context.
More precisely, p-adic pseudo constants depend on the pinary cutoff of their arguments and replace integration constants in p-adic differential equations. In the case of field equations this means roughly that the initial data are replaced with initial data given for a discrete set of time values chosen in such a manner that unique solution of field equations results. Solution can be fixed also in a discrete subset of rational points of the imbedding space. Presumably the uniqueness requirement implies some unique pinary cutoff. Thus the space-time surfaces representing solutions of p-adic field equations are analogous to space-time surfaces consisting of pieces of solutions of the real field equations. p-Adic reality is much like the dream reality consisting of rational fragments glued together in illogical manner or pieces of child's drawing of body containing body parts in more or less chaotic order.
The obvious looking interpretation for the solutions of the p-adic field equations would be as a geometric correlate of imagination. Plans, intentions, expectations, dreams, and cognition in general could have p-adic space-time sheets as their geometric correlates. A deep principle could be involved: incompleteness is characteristic feature of p-adic physics but the flexibility made possible by this incompleteness is absolutely essential for imagination and cognitive consciousness in general.
The original idea was that p-adic space-time regions can suffer topological phase transitions to real topology and vice versa in quantum jumps replacing space-time surface with a new one is given up as mathematically awkward: quantum jumps between different number fields do not make sense. The new adelic view states that both real and p-adic space-time sheets are obtained by continuation of string world sheets and partonic 2-surfaces to various number fields by strong form of holography.
The idea about p-adic pseudo constants as correlates of imagination is however too nice to be thrown away without trying to find an alternative interpretation consistent with strong form of holography. Could the following argument allow to save p-adic view about imagination in a mathematically respectable manner?
See the article the chapter p-Adic physics as physics of cognition and imagination or the article How Imagination Could Be Realized p-Adically?.
The basic predictions of ZEO based quantum measurement theory is that self corresponds to a sequence of state function reductions to a fixed boundary of CD (passive boundary) and that the first reduction to the opposite boundary means death of self and re-incarnation at the opposite boundary. The re-incarnated self has reversed arrow of geometric time. This applies also to sub-selves of self giving rise to mental images. One can raise several questions.
Do we indeed have both mental images and time-reversed mental images? How the time-reversed mental image differs from the original one? Does the time flow in opposite direction for it? The roles of boundaries of CD have changed. The passive boundary of CD define the static back-ground the observed whereas the non-static boundary defines kind of dynamic figure. Does the change of the arrow of time change the roles of figure and background?
I have also proposed that motor action and sensory perception are time reversals of each other. Could one interpret this by saying that sensory perception is motor action affecting the body of self (say emotional expression) and motor action sensory perception of the environment about self.
In the sequel reverse speech and figure-background illusion is represented as examples of what time reversal for mental images could mean.
Time reversed cognition
Time reflection yields time reversed and spatially reflected sensory-cognitive representations. When mental image dies it is replaced with its time-reversal at opposite boundary of its CD. The observation of these representations could serve as a test of the theory.
There is indeed some evidence for this rather weird looking time and spatially reversed cognition.
Interestingly, the Australian David Oates claims that so called reverse speech is a real phenomenon, and he has developed entire technology and therapy (and business) around this phenomenon. What is frustrating that it seems impossible to find comments of professional linguistics or neuro-scientits about the claims of Oates. I managed only to find comments by a person calling himself a skeptic believer but it became clear that the comments of this highly rhetoric and highly arrogant commentator did not contain any information. This skeptic even taught poor Mr. Oates in an aggressive tone that serious scientists are not so naive that they would even consider the possibility of taking seriously what some Mr. Oates is saying. The development of science can often depend on ridiculously small things: in this case one should find a shielded place (no ridiculing skeptics around) to wind tape recorder backwards and spend few weeks or months to learn to recognize reverse speech if it really is there! Also computerized pattern recognition could be used to make speech recognition attempts objective since it is a well-known fact that brain does feature recognition by completing the data into something which is familiar.
The basic claims of Oates are following.
Negative energy topological light rays are in a fundamental role in the TGD based model for living matter and brain. The basic mechanism of intentional action would rely on time mirror mechanism utilizing the TGD counterparts of phase conjugate waves producing also the nerve pulse patterns generating ordinary speech. If the language regions of brain contain regions in which the the arrow of psychological time is not always the standard one, they would induce phase conjugates of the sound wave patterns associated with the ordinary speech and thus reverse speech.
ZEO based quantum measurement theory, which is behind the recent form of TGD inspired theory of consciousness, provides a rigorous basis for this picture. Negative energy signals can be assigned with sub-CDs representing selves with non-standard direction of geometric time and every time when mental image dies, a mental images with opposite arrow of time is generated. It would be not surprising if the reverse speech would be associated with these time reversed mental images.
Figure-background rivalry and time reversed mental images
The classical demonstration of figure-background rivalry is is a pattern experienced either as a vase or two opposite faces. This phenomenon is not the same thing as bi-ocular rivalry in which the percepts associated with left and right eyes produced by different sensory inputs are rivalling. There is also an illusion in which one perceices the dancer to make a pirouette in either counter-clockwise or clockwise direction althought the figure is static. The direction of pirouette can change. In this case time-reversal would naturally change the direction of rotation.
Figure-background rivalry gives a direct support for the TGD based of self relying on ZEO if the following argument is accepted.
If this interpretation is correct, figure-background rivalry would tell something very important about consciousness and would also support ZEO. Time reversal would permute figure and background. This might happen at very abstract level. Even subjective-objective duality and first - and third person aspects of conscious experience might relate to the time reversal of mental images. In near death experiences person sees himself as an outsider: could this be interpreted as the change of the roles of figure and background indentified as first and third person perspectives? Could the first moments of the next life be seeing the world from the third person perspective?
An interesting question is whether right- and left hemispheres tend to have opposite directions of geometric time. This would make possible metabolic energy transfer between them making possible kind of flip-flop mechanism. The time-reversed hemisphere would receive negative energy serving as metabolic energy resource for it and the hemisphere sending negative energy would get in this manner positive metabolic energy. Deeper interpretation would be in terms of periodic transfer of negentropic entanglement. This would also mean that hemispheres would provide two views about the world in which figure and background would be permuted.
See the article the chapter p-Adic physics as physics of cognition and imagination or the article Time Reversed Self.
Quantum TGD involves "holy trinity" of time developments. There is the geometric time development dictated by the preferred extremal of Kähler action crucial for the realization of General Coordinate Invariance and analogous to Bohr orbit. There is what I originally called unitary "time development" U: Ψi→ UΨi→ Ψf, associated with each quantum jump. This would be the counterpart of the Schrödinger time evolution U(-t,t→ ∞). Quantum jump sequence itself defines what might be called subjective time development.
Concerning U, there is certainly no actual Schrödinger equation involved: situation is in practice same also in quantum field theories. It is now clear that in Zero Energy Ontology (ZEO) U can be actually identified as a sequence of basic steps such that single step involves a unitary evolution inducing delocalization in the moduli space of causal diamonds CDs) followed by a localization in this moduli space selecting from a superposition of CDs single CD. This sequence replaces a sequence of repeated state function reductions leaving state invariant in ordinary QM. Now it leaves in variant second boundary of CD (to be called passive boundary) and also the parts of zero energy states at this boundary. There is now a very attractive vision about the construction of transition amplitudes for a given CD, and it remains to be see whether it allows an extension so that also transitions involving change of the CD moduli characterizing the non-fixed boundary of CD.
A dynamical principle governing subjective time evolution should exist and explain state function reduction with the characteristic one-one correlation between macroscopic measurement variables and quantum degrees of freedom and state preparation process. Negentropy Maximization Principle is the candidate for this principle. In its recent form it brings in only a single little but overall important modification: state function reductions occurs also now to an eigen-space of projector but the projector can now have dimension which is larger than one. Self has free will to choose beides the maximal possible dimension for this sub-space also lower dimension so that one can speak of weak form of NMP so that negentropy gain can be also below the maximal possible: we do not live in the best possible world. Second important ingredient is the notion of negentropic entanglement relying on p-adic norm.
The evolution of ideas related to NMP has been slow and tortuous process characterized by misinterpretations, over-generalizations, and unnecessarily strong assumptions, and has been basically evolution of ideas related to the anatomy of quantum jump and of quantum TGD itself.
Quantum measurement theory is generalized to theory of consciousness in TGD framework by replacing the notion of observer as outsider of the physical world with the notion of self. Hence it is not surprising that several new key notions are involved.
I like answering questions. It gives a lot of meaning to the life of a theoretician who is not allowed to enjoy the pleasures of academic existence. Career builder would of course argue that writing again and again similar answers is a waste of time: I should be building social networks to important people instead. This activity however allows to make important observations and little discoveries. This time I answered to the questions relating to non-determinism of Kähler action. How this non-determinism relates to quantum non-determinism? How the non-determinism in elementary particle scales relates to that in biology?
The unexpected fruit was a little discovery: the mechanism generating the arrow of geometric time in zero energy ontology might rely in crucial manner to a sequence of phase transitions increasing the value of Planck constant heff/h=n and hence the size of the causal diamond (CD) characterized by quantum average temporal distance. Since the second boundary of CD is fixed, the second one moves to future in average sense: hence the flow of experienced time and its arrow. Conscious entities become more intelligent as they age! It became also clear that large heff/h characterizes macroscopically quantum coherent many-particle system rather than single particle. This leads to view in which intelligent consciousness involving the experienced about the flow of time emerges as the complexity of the systems measured by the number of fundamental particles increases.
1. The non-determinism of Kähler action and quantum non-determinism
The first question was about the relationship between non-determinism of preferred extremals and quantum non-determinism. As a matter of fact, I like to use the phrase "partial failure of determinism for Kähler action" rather than "non-determinism of Kähler action".
A possible interpretation could be as a correlate for quantum non-determinism. Second interpretation would be in terms of quantum criticality implying non-determinism. I do not know whether the interpretations are actually equivalent.
I certainly do not believe that one could get rid of quantum non-determinism and there is no need for it. The generalisation of quantum-classical correspondence is however natural in ZEO, where basic objects are 4-D surfaces- classical time evolutions serving as space-time correlates for quantal evolutions.
The origin of non-determinism is following. Kähler action has a huge vacuum degeneracy. For instance, for space-time surfaces, which are maps from M4 to at most 2-D Lagrangian manifold of CP2 having by definition vanishing induced Kähler form (configuration space and momentum space are Lagrangian manifolds in the context of classical mechanics) induced Kähler form of course vanishes. These vacuum extremals define an analog of gauge degeneracy of Maxwell action for vacuum extremals. For non-vacuum externals it is expected to be lifted at least partially. Hence 4-dimensional spin glass degeneracy is more appropriate analogy. One could say that classical gravitation breaks the analog of gauge invariance for non-vacuum extremals.
For CP2 type vacuum externals one has also non-determinism, which corresponds directly to Virasoro conditions expressing the light-likeness of 1-D M4 projection of the CP2 type vacuum extremal. Now induced Kähler form does not vanish.
Zero energy ontology (ZEO) and causal diamond (CD) are essential notions concerning the interpretation but I will not try to explain it here but leave it as an exercise for the reader. The ends of vacuum extremal at light-like boundaries of CD are connected by infinite number of vacuum externals. One expects that some vacuum degeneracy is present also non-vacuum externals. Part of this degeneracy must be analogous to gauge degeneracy since by strong form of general coordinate invariance (GCI) implying strong form of holography, only the partonic 2-surfaces and their 4-D tangent space data fix the physics since WCW metric depends only on this data. Hence the interiors of 3-surfaces carry very little information about quantum states.
2. Identification of gauge degeneracy as hierarchy of broken conformal gauge invariances
The conjecture is that conformal symmetries acting as partially broken gauge symmetries realize this vision. TGD allows several kinds of conformal symmetries, and a huge generalisation of string model conformal symmetries (including Kac-Moody) but I will not go to this here. Suffice it to say that the generalization of conformal symmetries means replacement of AdS/CFT correspondence with a correspondence which looks intuitively much more realistic (see this).
Classical conformal charges would vanish for sub-algebra for which the conformal weights are multiples of some integer n, n=1,2,…. These conditions would give the long-sought-for precise content to the notion of preferred extremal. These conditions would be the classical counterparts of corresponding quantum conditions and define a Bohr orbitology. This hierarchy would correspond to the hierarchy of Planck constants heff= n× h and to the hierarchy of dark matters. There would be infinite number of hierarchies (1, n1, n2, . .., ni,...) such that ni would divide ni+1 . They would correspond to the hierarchies of inclusions of hyper-finite factors of type II1 (HFFs). Included algebra defines measurement resolution, which would thus realized as conformal gauge symmetries. Evolution would correspond to a sequence of symmetry breakings: this is not a new idea but emerges naturally if $n$ serves as a quantum "IQ".
The proposal is that that there is a finite number n=heff/h of conformal equivalence classes of four-surfaces with fixed 3-D ends at the opposite boundaries of CD so that the non-determinism with gauge fixing would be finite and would correspond to the hierarchy of Planck constants and hierarchy of conformal symmetry breaking defined by the hierarchy of sub-algebras of various conformal algebras with weights comings as integer multiples of integer n=1,2,,…. These n surfaces would be analogous to Gribov copies for gauge conditions in non-Abelian gauge theories.
3. The non-determinisms of particle physics and biology
There was also a question about the non-determinism of partcle physics contra that of biology, where it manifests itself as partially free will.
Before continuing it is good make clear that a new principle is involved: Negentropy Maximization Principle (NMP). Also a new kind of entanglement entropy based p-padic norm is involved. This entanglement entropy is negative unlike ordinary entanglement entropy and characterizes two-particle system rather than single particle system. By consistency with quantum measurement theory it corresponds to identical entanglement probabilities pi=1/n. This entanglement is assumed to be associated with the n-sheeted coverings (at least these) defined by the space-time surfaces in n conformal equivalence classes associated with n=heff/h and connecting same 3-surfaces at the ends of space-time surface. Two systems of this kind can entangle negentropically. Unitary entanglement matrix associated with quantum computation gives rise to negentropic entanglement. Also n-partite negentropic entanglement makes sense.
3.2. What could be common for particle physics and biology?
Basically the non-determinism of particle physics and of biology could be essentially the same thing but for living matter whose behave is dictated by dark matter the value of heff/h=n would be large and make possible macroscopic quantum coherence in spatio-temporal scales, which are longer by factor n. Note that n could characterize macroscopic quantum phase rather than single particle system: this distinction is important as will be found.
The hierarchy of CDs brings additional spatio-temporal scale identified as secondary p-adic scale characterising the minimal size of CD (that for n=1). This size scales like heff/h=n and one can think of a superposition of CDs with different values of n and that the average value of n measuring the age of self increases during the sequence of quantum jumps. Since n is kind of IQ, NMP says that conscious entities should become wiser as they get older: maybe this is too optimistic hypothesis in the case of human kind but maybe electrons are different!;-) I swear that this interpretation is not due to the fact that I have passed the magic threshold of 60 years when one begins to feel that the ageing means growing wisdom;-). I must confess that the interpretation of experience time flow in terms of increasing heff/h charactering CD scaling has not come into my mind earlier. One could even consider the possibility that there is no superposition - just a sequence of heff/h increasing (in average sense) phase transitions, kind of spiritual growth even at the level of elementary particles.
For instance, for electron characterised by Mersenne prime M127=2127-1 the minimal CD time scale is .1 seconds (note that it defines a fundamental biorhythm of 10 Hz) and thus macrotemporal. Corresponding size scale is of the order of Earth circumference. This size scale could characterize quite generally the magnetic body of the elementary particle or the magnetic body at which macroscopic quantum phase of particles resides. In both cases there would be a direct connection between elementary particle physics and macroscopic physics becoming manifest in living matter via alpha rhythm for instance. Only the interpretation in terms of macroscopic quantum phase seems to make sense.
3.3. What distinguishes between particle physics and biology?
There are essential differences between elementary particle physics and biology. The first differences comes from quantum measurement theory in ZEO.
This time scale could give an idea about the geometric duration of elementary particle self (the growth of the temporal distance between tips of CD during the sequence of reductions or equivalently the increase of n). If this picture really makes sense, elementary particles would get more and more intelligent in TGD Universe and stable elementary particle like electron would be real sages! Could this relate to the fact that the minimal CD size for electron defines the fundamental biorhythm of 10 Hz? Strangely, I find is easier to regarded electron as intelligent creature than my working desk or a typical academic decision maker. For holographists it should be also relatively easy to think that electrons could serve as conscious holograms.
3.4. Could one regard elementary particle as a conscious entity?
The previous considerations support the view that it is macroscopic quantum phases of particles at magnetic flux tubes which can be seen as conscious and intelligent evolving entities experience the flow of time. In the case of single elementary particle previous arguments would suggest that only single state function reduction occurs at given boundary of CD so that the lifetime of elementary particle self would have zero duration! This in accordance with the absence of the arrow of time at elementary particle level. Strictly speaking this does not exclude consciousness but excludes intelligence and experience of time flow.
Could already systems with small particle number, be conscious entities and develop - not necessarily large - heff/h>1. Hadrons consist of quarks and I have considered the possibility that valence quarks and gluons at the color magnetic body are dark. Also nuclei as many-nucleon systems could be dark. In TGD even elementary particles consist of fundamental fermions so that one can ask whether elementary particles possess some elementary aspects of consciousness identified as the possibility of non-vanishing "biological" life-time. This kind of picture would conform with the idea about consciousness as something emerging as the complexity of the system increases.
The average lifetime of elementary particle as a conscious entity cannot be longer than the life-time of particle in the sense of particle physics. In the case of electron having infinite lifetime as elementary particle the "biological" lifetime must be finite since otherwise the irreversibility would manifest itself as a breaking of time reversal invariance in electron scale. The temporal time scale of CD characterising the dimensions of the magnetic body of the elementary particle is the first order of magnitude estimate for the lifetime of elementary particle self. The "biological death" of electron means state function reduction in the sense of ordinary quantum measurement theory implying for instance localization of electron or giving eigenstate of spin in given quantization direction and these quantum jumps meaning re-incarnations of electron certainly occur.
This time scale could give an idea about the geometric duration of elementary particle self (the growth of the temporal distance between tips of CD during the sequence of reductions or equivalently the increase of n). One expects that Δ n is by NMP rather small for single particle systems.
3.5. Could thermodynamical breaking of T symmetry relate to the CP/T breaking in particles physics?
Could the "thermodynamical" breaking of time reflection symmetry (T) correspond to the breaking of T as it is observed for elementary particles such as neutral kaon? I think that most colleagues tend to be skeptic about this kind of identification, and so do I.
The point is that particle physicist's T breaking could be purely geometric whereas thermodynamical breaking of T involves the notion of subjective time, state function reduction, and consciousness. One could however ask whether the particle physicist's T could serve as space-time correlate for thermodynamicist's T and whether systems exhibiting CP breaking could be seen as conscious entities in very primitive sense of the word (nf/ni>1 but small). An important point is that the time evolution for CDs corresponds to scaling so that usually exponential decay laws are replaced with their hyperbolic variants. Hyperbolic decay laws become an important signature of consciousness. For instance, bio-photon intensity decays in hyperbolic manner.
The mean lifetimes are of long-lived and short lived neutral kaon are τL= 1.2 × 10-8 seconds and τS= 8.9× 10-11 seconds: the ratio of the time scales is roughly 27. This does not conform with the naivest guess that the size of CD gives estimate for the duration of elementary particle self (increase of the temporal distance between tips of CD): the estimate would be τL= 10-7 seconds from the fact that the mass of neutral kaon is roughly 103 times electron mass. This is not too far from the lifetime of K0L but is about 27 times longer than the life-time of short-lived kaon. Why KS would be so short-lived? Could the lifetime be dictated by quark level: The longer time scale could be assigned as secondary p-adic time scale with the p-adic prime p≈ 2k, k=104, characterising b quark. Could the short life-time be understood in terms of loops involving heavier quarks with shorter lifetimes as conscious entities: they indeed appear in the description of CP/T breaking?
For details and background see the chapter About nature of time.