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Friday, November 29, 2013

NMP and Consciousness

Alexander Wissner-Gross, a physicist at Harvard University and the Massachusetts Institute of Technology, and Cameron Freer, a mathematician at the University of Hawaii at Manoa, have developed a theory that they say describes many intelligent or cognitive behaviors, such as upright walking and tool use (see this and this ). The basic idea of the theory is that intelligent system collects information about large number of histories and preserves it. Thermodynamically this means large entropy so that the evolution of intelligence would be rather paradoxically evolution of highly entropic systems. According to standard view about Shannon entropy transformation of entropy to information (or the reduction of entropy to zero) requires a process selecting one of instances of thermal ensemble with a large number of degenerate states and one can wonder what is this selection process. This sounds almost like a paradox unless one accepts the existence of this process. I have considered the core of this almost paradox in TGD framework already earlier.

According to the popular article (see this) the model does not require explicit specification of intelligent behavior and the intelligent behavior relies on "causal entropic forces" (here one can counter argue that the selection process is necessary if one wants information gain). The theory requires that the system is able to collect information and predict future histories very quickly.

The prediction of future histories is one of the basic characters of life in TGD Universe made possible by zero energy ontology (ZEO) predicting that the thermodynamical arrow of geometric time is opposite for the quantum jumps reducing the zero energy state at upper and lower boundaries of causal diamond (CD) respectively. This prediction means quite a dramatic deviation from standard thermodynamics but is consistent with the notion of syntropy introduced by Italian theoretical physicist Fantappie already for more than half a century ago as well as with the reversed time arrow of dissipation appearing often in living matter.

The hierarchy of Planck constants makes possible negentropic entanglement and genuine information represented as negentropic entanglement in which superposed state pairs have interpretation as incidences ai↔ bi of a rule A↔ B: apart from possible phase the entanglement coefficients have same value 1/n1/2, where n=heff/h define the value of effective Planck constant and dimension for the effective covering of imbedding space. This picture generalizes also to the case of multipartite entanglement but predicts similar entanglement for all divisions of the system to two parts. There are however still some questions which are not completely settled and leave some room for imagination.

  1. Negentropic entanglement is possible in the discrete degrees of freedom assignable to the n-fold covering of imbedding space allowing to describe situation formally. For heff/h=n one can introduce SU(n) as dynamical symmetry group and require that n-particle states are singlets under SU(n). This gives rise to n-particle states constructed by contracting n-dimensional permutation symbol contracted with many particle states assignable to the m factors. Spin-statistics connection might produce problems - at least it is non-trivial - since one possible interpretation is that the states carry fractional quantum numbers- in particular fractional fermion number and charges.

  2. Is negentropic entanglement possible only in the new covering degrees of freedom or is it possible in more familiar angular momentum, electroweak, and color degrees of freedom?

    1. One can imagine that also states that are singlets with respect to rotation group SO(3) and its covering SU(2) (2-particle singlet states constructed from two spin 1 states and spin singlet constructed from two fermions) could carry negentropic entanglement. The latter states are especially interesting biologically.

    2. In TGD framework all space-time surfaces can be seen at least 2-fold coverings of M4 locally since boundary conditions do not seem to allow 3-surfaces with spatial boundaries so that finiteness of the space-time sheet requires covering structure in M4. This forces to ask whether this double covering could provide a geometric correlate for fermionic spin 1/2 suggested by quantum classical correspondence taken to extreme. Fermions are indeed fundamental particles in TGD framework and it would be nice if also 2-sheeted coverings would define fundamental building bricks of space-time.

    3. Color group SU(3) for which color triplets defines singlets can be also considered. I have been even wondering whether quark color could actually correspond to 3-fold or 6-fold (color isospin corresponds to SU(2)) covering so that quarks would be dark leptons, which correspond n=3 coverings of CP2 and to fractionization of hypercharge and electromagnetic charge. The motivation came from the inclusions of hyper-finite factors of type II1 labelled by integer n≥ 3. If this were the case then only second H-chirality would be realized and leptonic spinors would be enough. What this would mean from the point of view of separate B and L conservation remains an open and interesting question. This kind of picture would allow to consider extremely simple genesis of matter from right-handed neutrinos only (see .

      There are two objections against this naive picture. The fractionazion associated with heff should be same for all quantum numbers so that different fractionizations for color isospin and color hyper charge does not seem to be possible. One can of course ask whether the different quantum numbers could be fractionized independently and what this could mean geometrically. Second, really lethal looking objection is that fractional quark charges involve also shift of em charge so that neutrino does not remain neutral it becomes counterpart of u quark.


Negentropy Maximization Principle (NMP) resolves also the above mentioned almost paradox related to entropy contra intelligence. I have proposed analogous principle but relying on generation of negentropic entanglement and replacing entropy with number theoretic negentropy obeying modification of Shannon formula involving p-adic norm in the logarithm log(|p|p) of probability. The formula makes sense for probabilities which are rational or in algebraic extension of rational numbers and requires that the system is in the intersection of real and p-adic worlds. The dark matter matter with integer value of Planck constant and heff=nh predicts rational entanglement probabilities: their values are simply pi=1/n since the entanglement coefficients define a diagonal matrix proportional to unit matrix. Negentropic entanglement makes sense also for n-particle systems.

Negentropic entanglement corresponds therefore always to n× n density matrix proportional to unit matrix: this means maximal entanglement and maximal number theoretic entanglement negentropy for two entangled systems with number n of entangled states. n corresponds to Planck constant heff= n×h so that a connection with hierarchy of Planck constants is also obtained. Power of p-adic prime defines the largest prime power divisor of n. Individually negentropically entangled systems would be very entropic since there would be n energy-degenerate states with the same Boltzmann weight. Negentropic entanglement changes the situation: thermodynamics of course does not apply anymore. Hence TGD produces same prediction as thermodynamical model but avoids the almost paradox.

For details and background see the section "Updates since 2012" of chapter "Negentropy Maximization Principle" of "TGD Inspired Theory of Consciousness".

Thursday, November 28, 2013

Psychedelics induced experiences and magnetic body

There is a book about psychedelic induced experiences titled as "Inner paths to outer space" as "Inner paths to outer space" written by Rick Strassman, Slawek Wojtowicz, Luis Eduardo Luna and Ede Frecska. It took some time to realize that I have actually have met the Luna and Frecska.

Some background about psychedelics

Phychoactive drugs can be classified into three basic types. Some raise the activity level, some calm down, and some change the character of consciousness profoundly. Hallucinogens/psychedelics belong to the third group. Psychedelics (such as psilobin, psicylobin, DMT, LSD) are molecules containing aromatic rings and many of them (such as psilobin, psicylobin, DMT, LSD) attach to serotonin receptors.

As the official term "hallucinogens" implies, psychedelic induced experiences are regarded as hallucinations in the materialistic world view although the denial of the reality of subjective experiences themselves requires a really hard-nosed skeptic. The title of the book reveals that the question posed in the book is whether these experiences could be about real world, kind of sensory input from distant parts of the Universe. The indigenous people using ayahuasca and similar psychedelics have regarded these experiences involving meeting of representatives of other civilisations as perceptions about real worlds. Also Terence and Dennis McKenna, who are pioneers of systematic study of the effects of various pscychdelics, shared this view. In the materialistic ontology of standard physics this kind of interpretation is of course excluded. That hallucinations are in question is "obvious", too obvious actually!

The classical psychelics LSD, psilocybin, DMT, and mescaline are derivatives of two basic chemical groups: tryptamine and phenetylamine which in turn derive from the aminoacids trp and and phe. DMT is endogenous psychedelic and there is pumping of DMT blood-brain barrier so that DMT must have important function in brain. The action of classical psychedelics is on serotonin receptors and affects the serotonin intake so that the effect is stronger. The amount of serotonin in brain is not large but manifest in all functions. According to the book, the situation might be different for pineal gland which is the only nucleus of brain which does not appear as left-right pair. Descartes recarded it as the seat of soul. Pineal gland is also known as "third eye" and in lower species it indeed serves the function of eye.
Taking the title of the book seriously, one can ask whether this eye is able to see but to cosmic distances possibly using large heff photons.

Could instantaneous communications in cosmic scales be possible in TGD Universe?

In TGD inspired ontology the notion of magnetic body with astrophysical, galactic or even super-galactic size changes the situation completely. The basic communication tool would be touch of magnetic bodies generating reconnections and making possible signalling from the biological body member of distant civilization. The perception of the biological body of alien would differ in no manner from that of my neighbour since the mechanisms would be the same as involved with the transfer of sensory data to my personal magnetic body and control commands from there to biological body (at least through genome).

The basic objection against the possibility suggested by the title of the book is that finite light velocity poses absolute upper bound for the distance of objects with it is possible to be in contact during "trip". One must be howeververy cautious here: the assumption that signals propagate only to singlet direction of time is essential also and derives from classical thermodynamics. In TGD framework second law continues to hold true but the arrow of geometric time for zero energy states changes in each state function reduction occurring to the either boundary of CD. Hence intantaneous communications ("remote seeing"!)using reflection in time direction become possible even over cosmological distances and define among other things the mechanism of memory in TGD Universe.

I have proposed earlier that UFO experiences could be induced with the mediation of primitive plasmoid like lifeforms taking the role of mediums making possible flux tube connections and entanglement with representatives of distant civilisations. Time consuming and expensive space travel would become un-necessary: our magnetic body giving us cosmic size together with zero energy ontology making possible instantaneous "seeing" of both future and past by reflection of photons in time direction would be enouh. This view would also resolve Fermi paradox. We would be actually in a continual contact with the distant civilisations but without realizing it. Similar contacts could take place in psychedelic induced experiences. Memories and future plans would be examples of "seeing" in time direction. The continual re-creation of the Universe by quantum jumps would of course mean that the actual future/past need not be same as those which are "seen". Shamans identify various plants as conscious entities teaching them - in TGD framework this would translate to magnetic bodies of representatives of distant civilisations remotely teaching the representatives of more primitive civilisations.

If the claims of shamans and true, one must ask whether our brain has well develpod tools available for building contacts with distant civilisations and what these tools might be. The receptors of neural transmitters are obviously the natural candidates for the pathways to cosmos. One can argue that evolutionary pressures have forced living matter to develop highly standardized connections to various parts biological body, of the personal magnetic body and possibly also other magnetic bodies. Personal magnetic body has astrophysical size and EEG frequencies would correspond to communications in Earth size scale.

Neurotransmitter receptor complex as plug-ins to cosmic internet and new perspective on remote seeing

If the claims of shamans and true then one must ask whether our brain has well developed tools available for building contacts with distant civilisations and what these tools might be. The receptors of neural transmitters are obviously the natural candidates for the pathways to cosmos. One can argue that evolutionary pressures have forced living matter to develop highly standardized connections to various parts of the personal magnetic body and possibly also other magnetic bodies. Receptors serving as Josephson junctions emitting Josephson radiation with frequency characterised by heff are natural candidates for plug-ins.

The model for cell membrane as Josephson junction leads at the microscopic level to the view that the proteins associated with various ion pumps, channels, and receptors (of also neurotransmitters in postsynaptic junction) define Josephson junctions to which magnetic flux tubes are associated and characterized by local value of Josephson frequency, that is membrane potential and Planck constant heff. As the information molecule is attached to a receptor, a connection to some part of some magnetic body would be generated and split as the molecule is not present. These connections are possible in the scale cell, organelle, organ, organism, population and maybe even in the scale of cosmos. Psychedelics affect serotonin receptors so that serotonin spends longer time in receptor.

The simplest picture is that the connection corresponds to a pair of flux tubes. As the connection is broken, the pair has suffered reconnection cutting it to two U-shaped closed flux tubes. When molecule is attached to the receptor, these U-shape closed flux tubes reconnect. The actual situation is of course expected to be more complex but the basic principle would be this.

In this framework psychedelics would be molecules associated with the reaction pathways facilitating the binding of neurotransmitters responsible for building connections to certain parts of the magnetic bodies characterised by passwords defined by collections of cyclotron frequencies corresponding to a hierarchy of space-time sheets. The Josephson frequency associated with the receptor is inversely proportional to heff. The natural guess is that it corresponds to the cyclotron frequency of the magnetic body part for electron, proton, or some ion associated with it. Josephson frequency should serve as kind of passwords and receptors would be in one-one correspondence with these passwords defining gateways even to the outer space if the value of Planck constant is large enough.

One might be able to test this crazy hypothesis. Pineal gland could still serve as the "third eye" but utilizing large heff photons. Fishes and birds are able to navigate to their birth places: could this miracle involve "remote seeing" by pineal gland using the dark light coming along flux tubes or even active variant of this process by sending light which is reflected back in time direction (blue and red light are necessary for the ability to navigate). What about remote seeing in the usual sense: could psychedelics help also in this process?

For details and background see the chapter TGD Inspired view about remote mental interactions and paranormal of "TGD based view about living matter and remote mental interactions".

Seth Lloyd on quantum life

The notion of quantum biology is becoming accepted notion although Wikipedia contains still nothing about its most important application (photosynthesis). I can be proud that I have been a pioneer of quantum biology for about two decades. TGD remains still one of the very few theories leaving the realm of standard quantum theory and suggesting besides the new view about space-time a generalization of quantum theory involving in an essential manner quantum theory of consciousness based on the identification of quantum jump as moment of consciousness. The new view about quantum theory involves a refined view about quantum measurement based on Negentropy Maximization Principle (NMP) kenociteallb/nmpc identified as the basic variational principle and zero energy ontology (ZEO) replacing ordinary standard energy ontology. The new view providing new vision about the relationship between subjective time and geometric time, about the arrow of time, and about second law.

The hierarchy of Planck constants having as space-time correlate effective (or real -depending on interpretation) n-sheeted coverings of 8-D imbedding space (or space-time) with heff=nh defining the value of (effective) Planck constant. p-Adic physics as physics of cognition is essential part of theory and together with the hierarchy of Planck constants closely related to the notion of negentropic entanglement characterizing living matter. Negentropic entanglement is maximal involving two-particle case tge entanglement of n states characterized by n× n unit matrix with n identified in terms of heff. Also maximal m-particle entanglement with 1<m≤ n is possible and one can write explicit formulas for the entangled states relating closely to the notion of exotic atom introduced earlier. The hierarchy of Planck constants as associated with dark matter so that dark matter is what makes living matter living in TGD Universe.

The concepts of many-sheeted space-time and topological field quantization imply that the concept of field body (magnetic body) becomes a crucial ew element in the understanding of living matter. Non-locality in even astrophysical scales becomes an essential piece of the description of living matter. Remote mental interactions making possible communication between biological and magnetic bodies become standard phenomena in living matter. The reconnection of magnetic flux tubes and phase transitions changing the value of heff and thus changing the length of magnetic flux tubes become a basic piece of biochemistry. Various macroscopic quantum phases such as dark electronic Cooper pairs and of protons and even ions as well as Bose-Einstein condensate of various dark bosonic objects with large value of heff are also central. They are associated with magnetic flux bodies (magnetic flux tubes) .

TGD implies a new, still developing, view about metabolism. Magnetic body as a carrier of metabolic energy and negentropic entanglement allows to understand the deeper role of metabolism in a unified manner. The notion of high energy phosphate bond assigned to ATP is one of the poorly understood notions of biochemistry. As a matter fact, all basic biomolecules are carriers of metabolic energy liberated as they are broken down in catabolism. It is usually thought that the covalent bonds containing shared valence electron pair between atoms involved carries this energy and that covalent bond reduces to standard quantum theory. TGD challenges this belief: covalent bond could in TGD framework correspond to magnetic flux tube associated with the bond having considerably larger size than the distance between atoms: similar picture has already earlier emerged in the model of nuclei as strings with colored flux tubes connecting nucleons and having length scale much longer than nuclei kenociteallb/nuclstring: this model also explains kenociteallb/padmass5 the puzzling observation that protonic charge radius seems to be somewhat larger than predicted kenocitebpnu/shrinkproton.

The metabolic energy quantum would be associated with large heff valence electron pair being identifiable as cyclotron energy in endogenous magnetic field for which the pioneering experiments of Blackman suggests value Bend=.2 Gauss as the first guess.Of course, entire spectrum of values coming as power of two multiples of this field strength can be considered. This would require rather high value of heff/h=n of order 108. Reconnection of flux tubes would make possible to transfer these electron pairs between molecules: actually a piece of flux tube containing the electron pair would be transferred in the process. This view allows to unify the model of metabolism with the view of DNA-cell membrane system as topological quantum computer with DNA nucleotides and lipids (or molecules assigned with them) by flux tubes.

Seth Lloyd represents three examples about situations in which quantum biology seems to be a "must": photosynthesis, navigation of birds, and odour perception. Photosynthesis represents the strongest and most quantitative support for quantum biology. Navitation and odour perception suggest strongly quantum theory model but leave the details of the model open.

I have applied TGD to numerous situations during years and also discussed simple TGD inspired models for all these three phenomena . The following represents briefly the core of Lloyd's talk and comparison with TGD based views. I do not of course have access to the data basis and can represent only a general vision rather than detailed numerical models. I share Lloyd's belief that quantum models provide the only manner to understand the data although models as such are not final. The authors of course want to publish their work and therefore cannot introduce explicitly notions like high temperature super-conductivity, which I believe are crucial besides purely TGD based concepts. What is however good that the models start from data and just look how to explain the data in quantum approach. Data lead to assumptions, which are not easy to defend in the framework of standard quantum theory. For instance, the presence of long-lived entangled pairs of electrons and electron and hole with wave functions possessing rather long coherence length and somehow isolated from entanglement destroying interactions with the external world emerge from the data. In TGD large value of heff/h and associated negentropic entangelement justifies these assumptions.

Photosynthesis

The incredible effectiveness of the first step of the photosynthesis after photon absorption
kenocitebbio/qharvesting is one of the key points of Lloyd in this talk. The organisms living deep under the surface of ocean are able to gather their metabolic energy using only the visible photons of black body radiation, whose typical photon energy is much lower than that of metabolic energy. In human eyes there is even mechanism preventing the detection of less than five photons at time.

The first step of photosynthesis after the capture of photon by harvesting antenna proteins has been a long standing mystery and here only quantum mechanical approach seems to provide the needed understanding. The light harvesting antenna proteins can be visualized as small disk like objects and are associated with a membrane like structure - so called thylakoid membrane similar to cell membrane. The absorption creates what is known as exciton - electron-hole pair, which is most naturally singlet. Photon has spin so that the exciton must have unit angular momentum. After its creation the electron of the exciton reaches by a random walk like process the reaction centre. Fromthe reaction centre the process continues as a stepwise electron transfer process leading eventually to the chemical storage of the photon energy.

The capture of photon occurs with some probability and also the process continues from reaction centre only with probability of about 5 per cent. The process with which the electrons reaches the reaction centre is however amazingly effective: effectives is above 95 per cent. This is mysterious since fort the classical random walk for exciton between the chromophores the time is proportional to the square root of distance measured as number of neighboring chromophores along the path.

The quantum proposal is that exciton is spin singlet state - this minimizes the interactions with photons - and performs quantum (random) walk to the reaction centre. The model assumes only experimental data as input and all parameters are fixed. Temperature remains the variable parameter. One can consider two extreme situations. At low energy limit the random walks tends to be stuck since external perturbations (mostly thermal photons) inducing the random walk process are not effective enough and quantum walk becomes so slow so that the exciton decays before it reaches the reaction centre. At high energy limit the thermal perturbations destroy quantum coherence and classical random walk results so that the efficiency becomes essentially zero. There is a temperature range where the transfer efficiency is near unity and time for reaching the reaction centre relatively short. This range has as midpoint room temperature.

If I have understood correctly, the model accepts as experimental facts the rather long lifetime of the exciton - few nanoseconds. In quantum-computerish this assumption translates to the statement that exciton belongs to a decoherence-free subspace so that external perturbations are not able to destroy the exciton too fast. Second assumption is that the exciton is de-localized over a ring ling like structure of size scale of 7 Angstroms (actually there are two rings of this kind, inner and outer and the wave function is assumed to be rotationally symmetric for the inner ring). This de-localization increases the probability of transfer to neighboring chromophore so that it is proportional to the square N2 of the number N of chromophores rather than N. The technical term expressing this is concatenated quantum code.

Skeptic would probably claim that coherence and stability of coherence are the weak points of the model. In TGD framework the assumption that electron-hole pair is negentropically entangled would guarantee its long life time. The reason is that NMP favors negentropic entanglement. Negentropic entanglement corresponds to entanglement associated with n-sheeted effective covering of imbedding space and n has interpretation in terms of effective Planck constant heff=nh. The naive guess is that coherence scale for the wave function of exciton scales up by factor n or kenosqrtn. This entangement need not have anything to do with spin but could relate to
large hbar.

I have earlier considered a slightly different proposal. Instead of exciton the negentropically entangled system would be Cooper pair of dark electrons. Note that the negentropic entanglement need not relate to the spin but to the n-fold covering although it could be assigned with spin too in which case the state would be spin singlet. The motivation came from the fact that the transfer of electrons to the reaction centre takes as pairs (see this). The TGD inspired interpretation of electron pair would be as dark Cooper pair. Two electron pairs would come from the splitting of two water molecules to O2, 4 protons and two electron pairs, and they would end up to P680 part of photosystem II (680 refers to maximally absorbed wavelength in nanometers) and from here to P680* as two pairs. This mechanism would require that the Cooper pairs absorbs the photon as single particle. In the case of dark Cooper pairs this might be naturally true. If this requires exchange of photon between the members of the pair, the rate for this process is of the order α2 lower.

Avian navigation

Second topic discussed by Seth Lloyd is avian navigation (see this). The challenge is to understand how birds (and also fishes) are able to utilize Earth's magnetic field in order to find their way during migration. In some cases the magnetite in the beak of the bird guides the way along magnetic field lines by inducing magnetic force, and the process can be understood at least partially. Consciousness theorist could of course wonder why these animals find year after year their exact birth place.

Robins however represent an example not so easy to understand. There are three input facts:

  1. Robins are able to detect the orientation of BE but not its direction. They can also detect the angle between orientation and vertical to the Earth's surface and from this to deduce also the direction of BE.

  2. Blue or green light is necessary for the successful detection of the orientation.

  3. Oscillating em field with frequency of order MHz makes the robins totally disoriented.
The only model that seems to be able to explain the findings is that long-lived entangled pairs of electrons are created by the photon provided their energy is high enough. For red light the energy is 2 eV and is not yet quite enough. This suggests that the electrons originate from a pair of molecules or atoms of single molecule. It is not known what the molecules in question could be. The electrons of the pair are spinning in the magnetic field and this is suggested to cause the decay of the pair and second member (why not both?) of the pair would contribute to a current giving eventually rise to nerve pulse pattern.

Entangled long-lived electron pair should be created. Long lifetime is the problem. The proposed mechanism brings in mind the TGD based variant for the light harvesting mechanism of photosynthesis. Universality suggests that long lived dark negentropically entangled Cooper pairs are generated in both cases so that light harvesting is in question in both cases. These pairs assignable to membrane structures in both cases in turn would generate a supra current giving eventually rise to a generation of nerve pulses in the case of navigation and to electron transfer process in the case of photosynthesis. If the same mechanism is involved in both cases, the extreme effectiveness of this light harvesting process could make it possible for the birds to navigate even in dark. Electron has cyclotron frequency of about 1.5 MHz in the Earth's magnetic field and this makes easy to understand why oscillation with this frequency (resonance) induces disorientation by forcing the spinning of the dark Cooper pairs.

Why the energy of photon creating the dark electron Cooper pair should correspond to visible light? Cyclotron energy scale for the ordinary value of Planck constant is extremely small and corresponds to frequency in MHz range. For visible photons the frequency by order of magnitude 108 higher. Does this correspond to the value of heff? Similar order of magnitude estimate follows from several premises. If the scaling of h by n corresponds roughly to the scaling of p-adic scale by n1/2, one would have roughly 1015-fold (effective) covering of imbedding space which looks rather science-fictive! For electrons this would imply size of order cell size if dark scale corresponds to the p-adic scale. If the electrons are originally in bound states with binding energy of order eV, the value of heff could be much lower.

I smell the quantum

Quantum detection of odours was the third topic in Lloyd's talk. For decades it was believed that odor perception is based on lock and key mechanism. Human has 387 odour receptors and this would be the number of smells too. It has however turned out that humans can discriminate between about 104 smells and Luca Turin and his wife have written a book giving a catalogue of all these smells. It is clear that lock key mechanism is correct but something else is needed in order to understand the spectrum of odors.

The key observation of Turin is that the smells seems to be not purely chemically determined but is different for molecules consisting of atoms differing only by the weight of nucleus and thus being chemically identical. Therefore the vibrational spectrum of the molecule, which is typically in infrared, seems to be important. The proposal of Turin is that the process of odour perception involves the tunnelling of the vibraing electron from odour molecule. This tunnelling can be assisted by absorption of phonon coming from the receptor with frequency which corresponds to fundamental vibrational frequency or its multiple. The model has been tested in several cases. The latest test described by Lloyd is the one in which hydrogen in some molecule is replaced with deuteron, which is twice as heavy so that the vibrational frequency is reduced by a factor 1/kenosqrt2. Fruit flies took the role of odour perceivers and it turned out that they easily discriminate between the molecules.

I have considered earlier a somewhat different quantum model for odour perception by starting from the pioneering experimental work of Callahan kenocitebbio/Callahan, which led him to conclude that in the case of insects odour perception is "seeing" at infrared wavelengths. Infrared wavelengths correspond to vibrational energies for molecules so that this brings in the dependence on the square root of the inverse of the mass of the odorant and predicts that chemically identical molecules containing only different isotopes of atoms smell differently.Frequencies are same as in the model of Turin. Instead of phonons IR photons would play the key role serving as passwords exciting particular cyclotron state at particular magnetic tube. Similar mechanism could be at work in the case of ordinary vision.

Saturday, November 23, 2013

A new upper bound to electron's dipole moment as an additional blow against standard SUSY

A further blow against standard SUSY came for a couple of weeks ago. ACME collaboration has deduced a new upper bound on the electric dipole moment of electron, which is by order of magnitude smaller than the previous one. Jester and Lubos have more detailed commentaries.

The measurement of the dipole moment relies on a simple idea: electric dipole moment gives rise to additional precession if one has parallel magnetic and electric fields. The additional electric field is now that associated with the molecule containing electrons plus strong molecular electric field in the direction of spin quantization axes. One puts the molecules containing the electrons into magnetic field and measure the precession of spins by detecting the photons produced in the process. The deviation of the precession frequency from its value in magnetic field only should allow to deduce the upper bound for the dipole moment.

Semiclassically the non-vanishing dipole moment means asymmetric charge distribution with respect to the spin quantization axis. The electric dipole coupling term for Dirac spinors comes to effective action from radiative corrections and has the same form as magnetic dipole coupling involving sigma matrices except that one has an additional γ5 matrix bringing in CP breaking. The standard model prediction is of order de≈ 10-40 e× me,: this is by a factor 10-5 smaller than Planck length!

The new upper bound is de ≈ .87 × 10-32 e×me and still much larger than standard model prediction. Standard SUSY predicts typically non-vanishing dipole moment for electron. The estimate for the electron dipole moment coming from SUSYs and is by dimensional considerations of form de= c ℏ e× me/16π2M2, where c is of order unity and M is the mass scale for the new physics. The Feynman diagram in question involves the decay of electron to virtual neutrino and virtual chargino and the coupling of the latter to photon before absoption.

This upper bound provides a strong restriction on "garden variety" SUSY models (involving no fine tuning to make dipole moment smaller) and the scale at which SUSY could show itself becomes of order 10 TeV at least so that hopes for detecting SUSY at LHC should be rather meager. One can of course do fine tuning. "Naturality" idea does not favor fine tunings but is not in fashion nowadays: the existing theoretical models do not simply allow such luxury. The huge differences between elementary particle mass scales and quite "too long" proton lifetime represent basic example about "non-naturality" in the GUT framework. For an outsider like me this strongly suggests that although Higgs exist, Higgs mechanism provides only a parametrization of particle masses - maybe the only possible theoretical description in quantum field theory framework treating particles as point like - and must be eventually replaced with a genuine theory. For instance, Lubos does not see this fine tuning is not seen as reason for worrying too much. Personally I however feel worried since my old-fashioned view is that theoretical physicists must be able to make predictions rather than only run away the nasty data by repeated updating of the models so that they become more and more complicated.

Still about Equivalence Principle

Every time I have written about Equivalence Principle (briefly EP in the following ) in TGD framework I feel that it is finally fully and completely understood. But every time I am asked about EP and TGD, I feel uneasy and end up making just question "Could it be otherwise?". This experience repeated itself when Hamed made this question in previous posting.

Recall that EP in its Newtonian form states that gravitational and inertial masses are identical. Freely falling lift is the famous thought experiment leading to the vision of general relativity that gravitation is not a real force and in suitable local coordinate system can be eliminated locally. The more abstract statement is that particles falling freely in gravitational field move along geodesic lines. At the level of fields this leads Einstein's equations stating that energy momentum tensor is proportional Einstein tensor plus a possible cosmological term proportional to metric. Einstein's equations allow only the identification of gravitational and inertial energy momentum densities but do not allow to integrate these densities to four-momenta. Basically the problem is that translations are not symmetries anymore so that Noether theorem does not help. Hence it is very difficult to find a satisfactory definition of inertial and gravitational four-momenta. This difficulty was the basic motivation of TGD.

In TGD abstract gravitation for four-manifolds is replaced with sub-manifold gravity in M4× CP2 having also the symmetries of empty Minkowski space and one overcomes the mentioned problem. It is however far from clear whether one really obtains EP - even at long length scale limit! There are many questions in queue waiting for answer. What Equivalence Principle means in TGD? Just motion along geodesics in absence of non-gravitational forces or equivalence of gravitational and inertial masses? How to identify gravitational and inertial masses in TGD framework? Is it necessary to have both of them? Is gravitational mass something emerging only at the long leng scale limit of the theory? Does one obtain Einstein's equations or something more general at this limit - or perhaps quite generally?

What about quantum classical correspondence: are inertial and gravitational masses well-defined and non-tautologically identical at both quantum and classical level? Are quantal momenta (super conformal representations) and classical momenta (Noether charges for Kähler action) identical or does this apply at least to mass squared operators?

Quantum level

One can start from the fact that TGD is a generalization of string models and has generalization of super-conformal symmetries as symmetries. Quantal four-momentum is associated with quantum states - quantum superpositions of 3-surfaces in TGD framework. For the representations of super-conformal algebras (this includes both Virasoro and Kac-Moody type algebras) four-momentum appears automatically once one has Minkowski space and now one indeed has M4× CP2. One also obtains stringy mass formula. This happens also in TGD and p-adic thermodynamics and leads to excellent predictions for elementary particle masses and mass scales with minor input - one of them is five tensor factors in the representations of the super Virasoro algebra five tensor factors in the representations of the super Virasoro algebra. The details are more fuzzy since five tensor product factors for the Super Virasor algebra is the only constraint and it has turned possible to imagine many manners to satisfy the constraint. Here mathematician's helping hand would be extremely wellcome.

The basic question is obvious. Is there any need to identify both inertial and gravitational masses at the superconformal level? If so, can one achieve this?

  1. There are two super-conformal algebras involved. The supersymplectic algebra associated with the imbedding space (boundary of CD) could correspond to inertial four-momentum since it acts at the level of imbedding space and the super Kac-Moody algebra associated with light-like 3-surfaces to gravitational four momentum since its action is at space-time level.

  2. I have considered the possibility that the called coset representation for these algebras could lead to the identification of gravitational and inertial masses. Supersymplectic algebra can be said to contain the Kac-Moody algebra as sub-algebra since the isometries of light-cone boundary and CP2 can be imbedded as sub-algebra to the super-symplectic algebra. Could inertial and gravitational masses correspond to the four-momenta assignable to these two algebras? Coset representation would by definition identify inertial and gravitational super- conformal generators. In the case of scaling generator this would mean the identification of mass squared operators and in the case of they super counterparts identification of the four-momenta since the differences of super-conformal generators would annihilate physical states. The question whether one really obtains five tensor factors is far from trivial and here it is easy to fall to the sin of self deception.

    A really cute feature of this approach is that p-adic thermodynamics for the vibrational part of either gravitational or inertial scaling generator does not mean breaking of super-conformal invariance since super conformal generators in the coset representation indeed annihilate the states although this is not the for the super-symplectic and super Kac-Moody representations separately. Note that quantum superposition of states with different values of mass squared and even energies makes sense in zero energy ontology.

  3. Second option would combine these two algebras to a larger algebra with common four-momentum identified as gravitational four-momentum. The fact that this four-momentum does not follow from a quantal version of Noether theorem suggests the interpretation as gravitational momentum. In this case the simplest manner to understand the five tensor factors of conformal algebra would be by assigning them to color group SU(3), electroweak group SU(2)L× U(1)(2 factors), symplectic groups of CP2 and light-cone boundary δ M4+.

    While writing a response to the question of Hamed the following question popped up. Could it be that classical four-momentum assignable to Kähler action using Noether theorem defines inertial four-momentum equal to the gravitational four-momentum identified as four-momentum assignable to super-conformal representation for the latter option? Gravitational four-momentum would certainly correspond naturally to super-conformal algebra just as in string models. The identification of classical and quantal four-momenta might make sense since translations form an Abelian algebra,or more generally Cartan sub-algebra of product of Poincare and color groups. Even weaker identification would be identification of inertial and conformal mass squared and color Casimir operators. EP would reduce to quantum classical correspondence just and General Coordinate Invariance (GCI) would force classical theory as an exact part of quantum theory! This would be elegant and minimize the number of conjectures but could be of course be wrong.

    One can argue that p-adic thermodynamics for the vibrational part of the total scaling generator (essentially mass squared or conformal weight defining it) breaks conformal invariance badly. This objection might actually kill this option.

Classical four-momentum and classical realization of EP

In the classical case the situation is actually more complex than in quantum situations due to the extreme non-linearity of Kähler action making also impossible naive canonical quantization even at the level of principle so that quantal counterparts of classical Noether charges do not exist. One can however argue that quantum classical correspondence applies in the case of Cartan algebra. Four-momenta and color quantum numbers indeed define one possible Cartan sub-algebra of isometries.

By Noether theorem Kähler action gives rise to inertial four-momentum as classical conserved charges assignable to translations of M4 (rather than space space-time surface). Classical four-momentum is always assignable to 3-surface and its components are in one-one correspondence with Minkowski coordinates. It can be regarded as M4 vector and thus also imbedding space vector.

Quantum classical correspondence requires that the Noetherian four-momentum equals to the conformal four-momentum. This irrespectively of whether EP reduces to quantum classical correspondence or not.

Einstein's equations have been however successful. This forces to ask whether classical field equations for preferred extremals could imply that the inertial four-momentum density defined by Kähler action is expressible as a superposition of terms corresponding to Einstein tensor and cosmological term or its generalization. If EP reduces to quantum classical correspondence, one could say that not only quantum physics but also quantum classical correspondence is represented at the level of sub-manifold geometry.

In fact, exactly the same argument that led Einstein to his equations applies now. Einstein argued that energy momentum tensor has a vanishing covariant divergence: Einstein's equations are the generic manner to satisfy this condition. Exactly the same condition can be posed in sub-manifold gravity.

  1. The condition that the energy momentum tensor associated with Kähler action has a vanishing covariant divergence is satisfied for known preferred extremals. Physically it states the vanishing of Lorentz 4-force associated with induced Kähler form defining a Maxwell field. The sum of electric and magnetic forces vanishes and the forces do not perform work. In static case the equations reduce to Beltrami equations stating that the rotor of magnetic field is parallel to the magnetic field. These equations are topologically highly interesting.

    These conditions are satisfied if Einstein's equations with cosmological term hold true for the energy momentum tensor of Kähler action. The vanishing of trace of Kahler energy momentum tensor implies that curvature scalar is constant and expressible in terms of cosmological constant. If cosmological constant vanishes, curvature scalar vanishes (Reissner-Nordström metric is example of this situation and CP2 defines Euclidian metric with this property). Thus the preferred extremels would correspond to extremely restricted subset of abstract 4-geometries.

  2. A more general possibility - which can be considered only in sub-manifold gravity - is that cosmological term is replaced by a combination of several projection operators to space-time surface instead of metric alone. Coefficients could even depend on position but satisfying consistency conditions guaranteeing that the energy momentum tensor is divergenceless. For instance, covariantly constant projection operators with constant coefficients can be considered.

If this picture is correct (do not forget the objection from p-adic thermodynamcs), what remains is the question whether quantum classical correspondence is true for four-momenta or at least mass squared and color Casimir operators. Technically the situation would be the same for both interpretations of EP. Basically the question is whether inertial-gravitational equivalence and quantal-classical equivalence are one and same thing or not.

Defending intuition

What is frustrating that the field equations of TGD are so incredibly non-linear that intuitive approach based on wild guesses and genuine thinking as opposed to blind application of calculational rules is the only working approach. I know quite well that for many colleagues intuitive thinking is the deadliest sin of all deadly sins. For them the ideal of theoretical physicist is a brainless monkey who has got the Rules. Certainly intuitive approach allows only to develop conjectures, which hopefully can be proven right or wrong and intuition can lead to wrong path unless it is accompanied by a critical attitude.

I am however an optimist. We know that it has been possible to develop perturbation theory for super symmetric version of Einstein action by using twistor Grassmann approach. Stringy variant of this approach with massless fermions as fundamental particles suggests itself in TGD. TGD Universe possesses huge symmetries and this should make also classical theory simple: I have indeed made proposal about how to construct general solutions of field equations in terms of what I call Hamilton-Jacobi structure. For these and many other reasons I continue to belief in the power of intuition.

Monday, November 18, 2013

Old web page address ceased to work again: situation should change in January!


The old homepage address has ceased to work again. As I have told, I learned too late that the web hotel owner is a criminal. It is quite possible that he receives "encouragement" from some finnish academic people who have done during these 35 years all they can to silence me. Thinking in a novel way in Finland is really dangerous activity! It turned out impossible to get any contact with this fellow to get the right to forward the visitors from the old address to the new one (which by the way differs from the old one only by replacement of ".com" with ".fi").

I am sorry for inconvenience. The situation should change in January.

Sunday, November 17, 2013

Constant torque as a manner to force phase transition increasing the value of Planck constant

The challenge is to identify physical mechanisms forcing the increase of effective Planck constant heff (whether to call it effective or not is to some extent matter of taste). The work with certain potential applications of TGD led to a discovery of a new mechanism possibly achieving this. The method would be simple: apply constant torque to a rotating system. I will leave it for the reader to rediscover how this can be achieved. It turns out that the considerations lead to considerable insights about how large heff phases are generated in living matter.

Could constant torque force the increase of heff?

Consider a rigid body allowed to rotated around some axes so that its state is characterized by a rotation angle φ.
Assumed that a constant torque τ is applied to the system.

  1. The classical equations of motion are

    I d2φ/dt2= τ .

    This is true in an idealization as point particle characterized by its moment of inertia around the axis of rotation. Equations of motion are obtained from the variational principle

    S= ∫ Ldt , L= I(dφ/dt)2/2- V(φ) , V(φ)= τφ .

    Here φ denotes the rotational angle. The mathematical problem is that the potential function V(φ) is either many-valued or dis-continuous at φ= 2π.


  2. Quantum mechanically the system corresponds to a Scrödinger equation

    - hbar2/2I× ∂2Ψ/∂φ2 +τ φ Ψ = -i∂Ψ/∂ t .

    In stationary situation one has

    - hbar2/2I× ∂2Ψ/∂φ2 +τ φ Ψ = EΨ .

  3. Wave function is expected to be continuous at φ=2π. The discontinuity of potential at φ= φ0 poses further strong conditions on the solutions: Ψ should vanish in a region containing the point φ0. Note that the value of φ0 can be chosen freely.

    The intuitive picture is that the solutions correspond to strongly localized wave packets in accelerating motion. The wavepacket can for some time vanish in the region containing point φ0. What happens when this condition does not hold anymore?

    • Dissipation is present in the system and therefore also state function reductions. Could state function reduction occur when the wave packet contains the point, where V(φ) is dis-continuous?

    • Or are the solutions well-defined only in a space-time region with finite temporal extent T? In zero energy ontology (ZEO) this option is automatically realized since space-time sheets are restricted inside causal diamonds (CDs). Wave functions need to be well-defined only inside CD involved and would vanish at φ0. Therefore the mathematical problems related to the representation of accelerating wave packets in non-compact degrees of freedom could serve as a motivation for both CDs and ZEO.

    There is however still a problem. The wave packet cannot be in accelerating motion even for single full turn. More turns are wanted. Should one give up the assumption that wave function is continuous at φ=φ0+ 2π and should one allow wave functions to be multivalued and satisfy the continuity condition Ψ(φ0)=Ψ(φ0+n2π), where n is some sufficiently large integer. This would mean the replacement of the configuration space (now circle) with its n-fold covering.

The introduction of the n-fold covering leads naturally to the hierarchy of Planck constants.

  1. A natural question is whether constant torque τ could affect the system so that φ=0 ja φ=2π do not represent physically equivalent configurations anymore. Could it however happen that φ=0 ja φ= n2π for some value of n are still equivalent? One would have the analogy of many-sheeted Riemann surface.

  2. In TGD framework 3-surfaces can indeed be analogous to n-sheeted Riemann surfaces. In other words, a rotation of 2π does not produce the original surface but one needs n2π rotation to achieve this. In fact, heff/h=n corresponds to this situation geometrically! Space-time itself becomes n-sheeted covering of itself: this property must be distinguished from many-sheetedness. Could constant torque provide a manner to force a situation making space-time n-sheeted and thus to create phases with large value of heff?

  3. Schrödinger amplitude representing accelerated wave packet as a wavefunction in the n-fold covering would be n-valued in the ordinary Minkowski coordinates and would satisfy the boundary condition

    Ψ(φ)= Ψ(φ+ n2π) .

    Since V(φ) is not rotationally invariant this condition is too strong for stationary solutions.

  4. This condition would mean Fourier analysis using the exponentials exp(imφ/n) with time dependent coefficients cm(t) whose time evolution is dicrated by Schröndinger equation. For ordinary Planck constant this would mean fractional values of angular momentum

    Lz= m/n hbar .

    If one has heff=nhbar, the spectrum of Lz is not affected. It would seem that constant torque forces the generation of a phase with large value of heff! From the estimate for how many turns the system rotates one can estimate the value of heff.

What about stationary solutions?

Giving up stationary seems the only option on basis of classical intuition. One can however ask whether also stationary solutions could make sense mathematically and could make possible completely new quantum phenomena.

  1. In the stationary situation the boundary condition must be weakened to

    Ψ(φ0)= Ψ(φ0+ n2π) .

    Here the choice of φ0 characterizes the solution. This condition quantizes the energy. Normally only the value n=1 is possible.

  2. The many-valuedness/discontinuity of V(φ) does not produce problems if the condition

    Ψ(φ0,t)=Ψ(φ0+ n2π,t) =0 , & 0<t<T .

    is satisfied. Schrödinger equation would be continuous at φ=φ0+n2π. The values of φ0 would correspond to a continuous state basis.

  3. One would have two boundary conditions expected to fix the solution completely for given values of n and φ0. The solutions corresponding to different values of φ0 are not related by a rotation since V(φ) is not invariant under rotations. One obtains infinite number of continous solution families labelled by n and they correspond to different phases if heff is different from them.

The connection with WKB approximation and Airy functions

Stationary Schrödinger equation with constant force appears in WKB approximation and follows from a linearization of the potential function at non-stationary point. A good example is Schröndinger equation for a particle in the gravitational field of Earth. The solutions of this equation are Airy functions which appear also in the electrodynamical model for rainbow.

  1. The standard form for the Schrödnger equation in stationary case is obtained using the following change of variables

    u+e= kφ , k3=2τ I/hbar2 , e=2IE/hbar2k2 .

    One obtains Airy equation

    d2Ψ/du2- uΨ =0 .

    The eigenvalue of energy does not appear explicitly in the equation. Boundary conditions transform to

    Ψ(u0+ n2π k )= Ψ(u0) =0 .

  2. In non-stationary case the change of variables is

    u= kφ , k3=2τ I/hbar2 , v=(hbar2k2/2I)× t

    One obtains

    d2Ψ/du2- uΨ =i∂v Ψ .

    Boundary conditions are

    Ψ(u+ kn2π,v )= Ψ(u,v) , 0 ≤ v≤ hbar2k2/2I× T .

An interesting question is what heff=n× h means? Should one replace h with heff=nh as the condition that the spectrum of angular momentum remains unchanged requires. One would have k ∝ n-2/3 ja e∝ n4/3. One would obtain boundary conditions non-linear with respect to n.

Connection with living matter

The constant torque - or more generally non-oscillatory generalized force in some compact degrees of freedom - requires of a continual energy feed to the system. Continual energy feed serves as a basic condition for self-organization and for the evolution of states studied in non-equilibrium thermodynamics. Biology represents a fundamental example of this kind of situation. The energy feeded to the system represents metabolic energy and ADP-ATP process loads this energy to ATP molecules. Also now constant torque is involved: the ATP synthase molecule contains the analog of generator having a rotating shaft. Since metabolism and the generation of large heff phases are very closely related in TGD Universe, the natural proposal is that the rotating shaft forces the generation of large heff phases.

For details and background see the chapter Macroscopic quantum coherence and quantum metabolism as different sides of the same coin: part II" of "Biosystems as Conscious Holograms".

Addition: The old homepage address has ceased to work again. As I have told, I learned too late that the web hotel owner is a criminal. It is quite possible that he receives "encouragement" from some finnish academic people who have done during these 35 years all they can to silence me. It turned out impossible to get any contact with this fellow to get the right to forward the visitors from the old address to the new one (which by the way differs from the old one only by replacement of ".com" with ".fi"). The situation should change in January. I am sorry for inconvenience. Thinking in a novel way in Finland is really dangerous activity!

Wednesday, October 30, 2013

No SUSY dark matter

LUX group has reported that one leading dark matter candidate has disappeared (see this). Lubos tells more about this. The candidate is light fermion - so called neutralino predicted by SUSY models as a candidate for dark matter. What makes it a candidate is that it stable against decays if R-parity is conserved: this implies that neutralino can disappear only via pair annihilation. This is also a further blow against N=1 SUSY paradigm in its standard form implying among other things the non-conservation of baryon and lepton number or both.

The result of course does not mean that there would be no dark matter. It only says that the main stream of particle physics community has been at completely wrong track concerning the nature of dark matter. As I have patiently explained year after year in this blog, dark matter is not some exotic particle this or that. Dark matter is something much deeper and its understanding requires a generalization of quantum theory to include hierarchy of Planck constants. This requires also a profound generalization of the notion of space-time time.

In particular, all standard particles can be in dark phase characterized by the value of Planck constant, and the main applications are TGD inspired quantum biology and consciousness theory since dark matter with large value of Planck constant can form macroscopic quantum phases. Also dark energy in TGD sense is something very different from the standard dark energy. Dark energy in TGD Universe corresponds to Kähler magnetic energy assignable to magnetic flux tubes carrying monopole flux. These magnetic fields need no currents to generate them, which explains why cosmos can full of magnetic fields. Superconductors at the verge of breakdown of superconductivity and even ordinary ferromagnets might carry these Kähler monopole fluxes although monopoles themselves do not exist.

The result of LUX was expected from TGD point of view and does not exclude particles dark in TGD sense. Even dark particles at the mass scale of tau lepton and even at mass scale of 7-8 GeV can be considered and the CDF anomaly reported few years ago could have explanation in terms of dark variant of tau-pion identifiable as pion like bound state of colored tau leptons: also for other leptons analogous states have been reported (see this). The experimental signatures of this kind of particles are however very different from the dark particles that LUX was searching for and could explain some reports about evidence for dark matter in ordinary sense.

The lesson to learn is that one can find only what one is searching for in recent day particle physics. Particle phenomenologists should return to the roots. Challenging the cherished beliefs - even the beliefs about what QCD color is - is painful but is the only way to make progress.

Thursday, October 24, 2013

A general model for metabolism

The general strategy in attempts to understand metabolism is based on the assumption that a very large class of anomalous phenomena rely on same basic mechanism. This includes life as a phenomenon, water memory and homeopathy, free energy phenomena involving over-unity phenomena related to the dissociation of water, lightning and ball lightning, anomalous effects associated with rotating magnetic systems, phenomena related to UFOs (light balls), even remote mental interactions. One must have a unified explanation for all these phenomena based on a real theory.

Plasmoid as primitive life form would the underlying connecting thread between these phenomena so that all the listed phenomena would involve life and prebiotic (or possibly postbiotic!) life. This gives very strong constraints on the model. Plasmoid should consists of the analogs of linear biomolecules, it should metabolize and communicate, in TGD Universe it should have magnetic body, and even genetic code might be realized. In particular, the simplified analog of biological metabolism would be at work. In living matter photosynthesis relies on the splitting of water whereas cell respiration relies on the reversal of this process producing carbon di-oxide and water. Something very similar should happen in free energy systems involving electrolysis, and the fact that water splitting occurs also in several free energy phenomena suggests that these processes are analogous to photosynthesis and store energy to "molecules" analogous to various linear biomolecules, in particular sugars. Even the counterpart of ADP-ATP process might be realized.

TGD suggests a very general model for the metabolism of pre-biotic systems (or post-biotic ones:the identification depends on what general vision about evolution is adopted) identifed as plasmoids consisting of cyclic linear structures formed by exotic water molecules. For a dark water molecule one proton would be dark and dark protons of the neighboring exotic water molecules would bind to form a linear structure identifiable as dark nucleus: this picture is a direct generalization of nuclear string model (see this, this, and this). These linear structures would define the analogs of linear biomolecules. This metabolism would be more fundamental than ordinary biochemical metabolism and form a yet unkown part of the latter. One cannot exclude the possibility that also other than water molecules contain dark protons: the signature would be the presence of apparently unallowed covalent bonds due to the fact the dark proton is not visible. In the following I will discuss the basic principles involved.

1. Three possible models for liberation of metabolic energy

One can imagine three different models for the liberation of metabolic energy.

  1. The simplest TGD based model is as a phase transition increasing the value of p-adic prime p assignable to the space-time sheet at which particle is topologically condensed:

    1. Particle "drops" to a larger space-time sheet with larger p-adic prime p1 with p1/p≈ 2k. The problem is that different particles need not drop simultaneously so that coherent liberation of energy is not automatic consequence of the assumption.

    2. The space-time sheet itself suffers a phase transition increasing its p-adic length scale. In absence of interactions (particles in box) the energies are scaled down by factor 2-k and the difference is liberated as usable energy. Coherent liberation of energy is achieved automatically. If the particle insider the space-time sheet is free in good approximation a model as particle in box applies, and if the expansion of the space-time sheet takes place adiabatically, the quantum numbers characterizing the state of the particle do not change in the transition. As a consequence, the energy E = k∑i ni2hbar2/2mLp2 is reduced as Lp ∝ p1/2 increases to Lp1, where p1/p≈ 2k holds true. The difference of vacuum energies is liberated as usable energy in coherent manner: this is of special significance in living systems. This has led to the identification of p-adic length scales that would correspond to fundamental metabolic quantum with value about .5 eV. Entire hierarchy of metabolic quanta is predicted.

  2. The space-time sheet could also carry magnetic energy and particles are expected to be in cyclotron states and perhaps form a cyclotron Bose-Einstein condensate. In this case the phase transition reduces the value of B but preservers the magnetic flux so that B→ B/2k, p1/p≈ 2k, takes place. This scales down the energies of cyclotron states by the same scaling factor 2-k as in the case of free particle. The liberated energy is in good approximation just the cyclotron energy for large enough values of k. Coherence is achieved automatically. The value of the fundamental metabolic energy quantum and the value of endogenous magnetic field of about Bend=.2 Gauss deduced from the experiments of Blackman and others fix the value of heff. It would be proportional to particle mass number A.

  3. The earlier model for the liberation of cyclotron energy was based on the assumption that the value of B is not changed but that the value of magnetic quantum number n changed. If n is reduced one achieves liberation of energy. Coherence of the transition might produce problems now. Both models can explain the observations of Blackman and others concerning the effects of ELF radiation on vertebrate brain since the spectrum of photons energies inducing effects correspond to cyclotron energies for the latter option and in excellent approximation to it for the previous model. The mechanism is however quite different.

This phase transition for the larger space-time sheet can take place in two steps.
  1. First a phase transition increasing heff of the background space-time sheet by n=2k occurs. This leaves ZPKE invariant but scales up the size of the space-time sheet by 2k/2. The interpretation would be as "electric expansion" of Brown's gas. No energy transfer takes place since both kinetic and magnetic energies are invariant under the scaling of hbar. Note however than in the original situation the magnetic field can be very strong so that zooming up from microscopic scales can happen.

  2. After this a phase transition reducing Planck constant back to h but increasing p-adic length scale by 2k occurs. The size scale of the background space-time sheet is not affected but the zero point kinetic energy is reduced by factor 2-k and liberated as usable energy. This phase transition would take place for the dark component of Brown's gas in the melting of the metal and other similar phenomena. Also the liberation of metabolic energy in living matter could correspond to this phase transition.
This model for electric expansion, implosion, and energy liberation assumes nothing about the particles involved since dark particle means ordinary particle topologically condensed on dark space-time sheet and having wave function de-localized in the n-sheeted structure. For instance, water can be dark in this sense. One could indeed consider the possibility that the vapour phase identified as charged water cluster is just water containing positive ions H3+ or protons and electrons and that phase transition to large hbar phase expands the space-time sheet at which water is topologically condensed at evaporates the water. Ordinary liquid to gas transition could proceed in the same manner and involve liberation of ZPKE at the second step of the process. In the general case the binding energy involved with the formation of the denser phase could compensate for the energy gain in the increase of the p-adic prime so that the melting would require energy feed.

2. Model for the building bricks of plasmoids

I have already earlier discussed a model for dark proton sequences as primitive life forms. The observation discussed by Moray B. King inspired a more detailed formulation of the model of plasmoids identified as primitive life forms in TGD framework.

  1. The key observation was that the model for dark nuclei (see this and this), in particular dark proton, predicts counterparts of DNA, RNA, tRNA, and amino-acids and also vertebrate genetic code follows naturally. This together with nuclear string model led to the vision that life appears already at the level of dark variants of nuclei. The observed anomalous H1.5O stoichiometry of water in atto-second scale supports the view that dark protons appear in ordinary water.

  2. This model was first introduced to explain water memory and homeopathy. The basic idea was that the process creating homeopathic remedy induces the analog of molecular evolution for the dark proton sequences, which in turn provide representations for the molecules appearing in environment. These representations would be fundamental also for the functioning of immune system of living matter. The dark life could provide R&D laboratory for living matter allowing to test say various gene candidates and transcribe them to ordinary biological DNAs if they are successful in the virtual model world. Evolution would not be random but directed just as evolution of technologies.

  3. The latest step in the process (see this) was the proposal that cell membranes involve dark proton sequences providing a representation of dark DNA and connected by magnetic flux tubes to the units of DNA in genome. These two DNA representations would be identical. Quite generally, dark and ordinary biomolecules might be connected by magnetic flux tubes.

This picture does not yet provide model for the metabolism of the building bricks of plasmoids. Something very much analogous to the splitting of sugars to carbon di-oxide and water is however expected. Since carbon is not present now, this leaves only the option that the linear dark structures are nothing but exotic form of water for which the proton of one hydrogen atom of each water molecule is dark. These dark protons would combine by strong interactions to a nuclear string and O-H groups would be attached to them. The cyclic analog of DNA, RNA, or amino-acid realizing genetic code would be the outcome. The stoichiometry H1.5O observed in atto-second time scale would be achieved in average sense if the portions of exotic and dark water are same. The prediction is that dark water is heavier than ordinary water: the molecular weight would correspond to average length of the dark water cycle. This is consistent with the observations about Brown's gas.

Plasmoid should also possess a magnetic body. This requires a currents rotating along the cyclic structures. The obvious identification of the current is as dark supra currents assignable to dark protons so that the building bricks of plasmoid would be analogous to super-conducting rings.

3. Model for the metabolism of plasmoids

The proposed dark analogs of basic biomolecules would be created through the analog of photosynthesis involving the splitting of water to H + OH followed by H→ Hdark and by recombination to a sequence of dark water molecules. The process would be analogous to translation of mRNA to amino-acids and could proceed by an analogous mechanism. The process would be spontaneous since the energy of cyclotron states would not change in h→ heff= 2k× h.

Metabolic energy would be liberated in the decay of the exotic water back to water with heff=h and p-adic prime scaled by about 2k. This process is completely analogous to the splitting of various linear biomolecules in metabolism in order to obtain metabolic energy. This process would explain the ability of cool Brown's gas to melt metal for instance. When fossil fuels are used, the outcome is carbon di-oxide and water. Now only water is obtained so that this form of free energy might not contribute to the warming of environment.

The process differs from ZPE in that it does not provide any endless source of energy. Since water is in practice an unlimited natural resource, this shold not be a problem. A closed cycle at the level of visible matter is obtained only if the reverse phase transition transforming the water with heff=h and p-adic prime p1≈ 2k/2p to that with heff=2k× h and p-adic prime p takes place spontaneously.

The irradiation with carrier frequency fh and modulation frequency fl such that one has fl/fh= 2-k is one possibility which I have proposed. Dark solar radiation at magnetic flux tubes with magnetic field Bend=.2 Gauss (guess from the experiments of Blackman; also many other values can be considered) could provide automatically the needed pulsed radiation inducing the phase transition. The most optimistic option is that this transition occurs even in the case of closed system in which water circulates.

Before attempting to identify reasonable candidates for fl and fh it is useful to consider estimates for heff/h=2k. Note that this assumption might be too strong: the vision about evolution as emergence of number theoretical complexity suggests that so called Fermat integers defining polygons, which are constructible using ruler and compass, define favored values of heff/h=n (see this). These integers are expressible as products of different Fermat primes Fn= 22k+1 and power of 2. The known Fermat primes correspond to k= 0,1,2,3,4 and are 3,5,17,257,65537. Only the two lowest ones differ significantly from power of two.This raises the question whether also the scale hierarchies 31/2L(k), 51/2L(k), and 151/2L(k) are important besides p-adic length scale hierarchy L(k)= 2k/2RCP2. They could be associated with the algebraic extensions of p-adic numbers involving 31/2 and51/2.

  1. The condition that cold nuclear fusion is possible via the TGD based mechanism requires dark variant of weak interactions corresponds to scaled up p-adic length scale of order atomic size. The condition that weak bosons are effectively massless in atomic length scale gives one estimate for heff/h. The condition that weak scale characterized by M89 is increased to that characterized by M127 gives heff/h=248≈ 2.8× 1014.


  2. Second estimate for heff/h follows from the condition that cyclotron energy for given charged particle is of the order of metabolic energy quantum. For proton Bend=.2 Gauss gives fc=300 Hz. The energy is about .5 eV for heff/h= 1.37×1014 rather near to heff/h= 247 which is by a factor of 1/2 smaller than the previous estimate. It is however clear that the estimates are internally consistent: skeptic would see this as a pure accident and some-one taking anthropic principle seriously as an outcome of evolution in very general sense. Note that for electron the metabolic energy quantum would be about 938 eV suggesting that keV energy scale assignable to the dark weak interactions has its own metabolic energy quantum.

    For ion of mass number A and ionization z the value producing the same value of metabolic quantum is A/z× 1.37× 1014. An alternative assumption is a hierarchy of metabolic quanta coming as z/A multiples of the fundamental metabolic energy quantum for a fixed value of heff/h. The condition that the metabolic energy quantum is above thermal energy of photon at physiological temperature for which peak wavelength for blackbody radiation corresponds to energy of .13 eV. This gives A/z≤ .5/.13=3.84. The estimate is too stringent since Ca++ with A/z=20 should allow metabolic energy quantum above the thermal energy. This suggests that heff/h characterizes given ion and that its multiples coming as power of two are allowed.

  3. For heff/h=n=2kdark with kdark ∈ {47,48} dark electron would have p-adic length scale L(k), k=127+ ddark∈ [174,175]. This corresponds to a Compton length lc∈ [28,4] μm. That this corresponds to the size scale of cell gives additional support for the vision. Note also that for electron the size scale of CD identified as secondary p-adic time scale associated with M127=2127-1 corresponds to .1 seconds, which defines a fundamental biorhythm. Proton Compton length would be scaled to the range [15,21] nm (10 nm defines the thickness of the cell membrane) and light current quarks with energy of 5-20 MeV to the size scale of cell nucleus.

A reasonable guess is that the candidates for fh and fl should satisfy the condition fh/fl=2k, k=47 or k=48. fh can be deduced from the estimate for heff.
  1. Schumann frequency 7.8 Hz is the first candidate for the modulating frequency. This would give UV frequency fh≈ 1.1 × 1015 Hz corresponding to energy of 9.7 eV for k=47, which corresponds to the energy scale for covalent bonds. The energy scale of hydrogen atom is 13.6 eV.

  2. For the cyclotron frequency of DNA (which depends only weakly on the length of the DNA sequence due to the constant charge density per unit length) of about 1 Hz (the frequency of heart beat) one would obtain fh=1.4× 1014 Hz for k=47, which corresponds to energy of 1.4 eV and is just below the visible range starting around 1.65 eV. The scaling of this energy by 31/2/2, 51/2/4, and151/2/4. For k=48 the energy would be to 3.3 eV, which is quite near to the UV end 3.36 eV of visible portion of spectrum. Again one can ask whether just accidents are in question.

    Allowing the generalization of the p-adic length scale hypothesis one obtains 7 photon energies in the visible range corresponding to the scalings of 1.4 eV by [31/2/2, 51/2/4, 51/2/2, , 151/2/4, 31/2, 2, 31/2/8,51/2] giving E/eV= [1.71, 1.57, 2.21, 1.91, 2.42, 2.71, 2.80, 3.13]. Note that 2 eV corresponds to red light and metabolic energy quantum of .50 eV to k=51. An interesting question is whether these special frequencies relate to the peak wave lengths for color vision.

A macroscopic variant of photosynthesis using the possibly existing dark photons at the flux tubes of Bend=.2 Gauss can be imagined. The flux tubes of Bend could correspond to those of BE with nominal value .5 Gauss if a weakening of the field value takes place inside living matter. Note that in case of heff/h∼ 1014 this field value would correspond to about 1010 Tesla for the ordinary value of hbar (a field strengths assignable to supernovas!) and assignable to electron Compton scale.

The sequences of these two phase transitions involved with dark metabolism would be very much analogous to ..-ATP-ADP-ATP-... "Karma's cycle". There is also a strong analogy with breathing and even sleep-wake-up cycle and longer bio-rhythms. p-Adic fractality forces to ask whether all these rhythms involve the same dark metabolic cycle but in different scales. Increase of heff indeed corresponds to an increase of "IQ" in TGD inspired theory of consciousness and its reduction to its lowering. This could quite concretely correspond the experience of becoming tired. There is also a close analogy with the state function reduction sequence in ZEO. State function reductions occur alternatively at the opposite boundaries of causal diamond (CD) of given scale and I have proposed an interpretation in terms of generalized sleep-awake cycles.

4. Does dark biology represent pre- or post-biotic evolution?

The discovery of dark proton realization of genetic codons (see this and this) was an accident and I am still puzzled about whether the vertebrate genetic code can really emerge from dark nuclear physics or is it only a curiosity or self deception. The first interpretation for the dark code is as a code associated with prebiotic evolution (see this). This is suggested by the enormous simplicity for the analogs of counterparts of linear biomolecules, and the fact that the utilization of metabolic energy means that these "molecules" decay to ordinary water. In this view life would have migrated from dark space-time sheets to visible space-time sheets. This higher level life would be gradually migrating to lower levels in the hierarchy and taking visible matter to its control and that biological evolution represents a step in this process.

There are however some objections against this view. The dark code corresponds to vertebrate code, which can be seen as an outcome of along genetic evolution. There are also other codes, which are less perfect (see the chapter of "Genes and Memes" representing a number theoretic approach to genetic code). For instance, the meaning of the codeword is context dependent for some codons and Peter Gariaev has proposed that this context dependence is a more general phenomenon. One would expect that prebiotic code is much simpler than genetic code and I have considered a model for how genetic code might have emerged from more primitive codes with 4 and 16 code words as a "product code" (see this).

These objections inspire the question whether life could migrate from lower to higher scales. The dark genetic code would in this framework correspond to the emergence of a new level in evolution - perhaps identifiable as cultural evolution. This would explain why dark variant of the genetic code corresponds to vertebrate code. One could also solve Fermi paradox (see this) due to the fact that no signs of intelligent life have been observed in cosmos and probabilistic estimate suggests that cosmos is full of life. The answer could be very simple: in some stage the civilization transforms to dark matter invisible to us! The civilizations are there but living on magnetic flux quanta and probably communicate with us telepathically. The higher evolutionary level would also conform with the fact that the spatial and temporal scales of consciousness are much longer than for the consciousness assignable to visible manner. This could allow also to understand the mystery of crop circles. To my opinion many of them are genuine, and the interpretation as some kind of cognitive representations analogous to those realized in brain is highly suggestive. Certainly these representations would represent mental images of conscious entities, which are at higher evolutionary level than us.

Many great leaps in evolution have occurred via crisis periods involving extinction. Could it be that gradual transition to dark matter based life could be begin as a response to the recent crises of human kind? The gradual transition of life to the dark matter level would indeed solve the energy problem by coupling us to the energy sources assignable to the dark matter hierarchy at various magnetic bodies. It would also solve the problem caused by the climate warming if it is indeed is due to the liberation of CO2 as fossil fuels are used. The dark matter "molecules" as analogs of biomolecules and hydrocarbons would produce only water when used.

See the new chapter Macroscopic quantum coherence and quantum metabolism as different sides of the same coin: Part II of "Bio-Systems as Conscious Holograms" for details.


The TGD variant of the model of Widom and Larsen for cold fusion

Widom and Larsen (for articles see the Widom Larsen LENR Theory Portal) ) have proposed a theory of cold fusion (LENR), which claims to predict correctly the various isotope ratios observed in cold fusion and accompanying nuclear transmutations. The ability to predict correctly the isotope ratios suggests that the model is on the right track. A further finding is that the predicted isotope ratios correspond to those appearing in Nature which suggests that LENR is perhaps more important than hot fusion in solar interior as far as nuclear abundances are considered. TGD leads to the same proposal and Lithium anomaly could be understood as one implication of LENR (see this). The basic step of the reaction would rely on weak interactions: the proton of hydrogen atom would transform to neutron by capturing the electron and therefore would overcome the Coulomb barrier.

Challenges of the model

The model has to meet several challenges.

  1. The electron capture reaction p+e→ n+ν is not possible for ordinary atom since the mass difference of neutron is 1.3 MeV and larger than electron mass .5 MeV (electron has too small kinetic energy). The proposal is that strong electric fields at the catalyst surface imply renormalization effects for the plasmon phase at the surface of the catalyst increasing electron mass so that it has width of few MeVs (see this. Physically this would mean that strong em radiation helps to overcome the kinematical threshold for the reaction. This assumption can be criticized: the claim is that the mass renormalization is much smaller than claimed by Widom and Larsen.

  2. Second problem is that weak interactions are indeed very weak. The rate is proportional to 1/mW4, mW∼ 100 GeV whereas for the exchange of photon with energy E it would be proportional to 1/E4. For E∼ 1 keV the ratio of the rates would be of the order of 10-48!

    This problem could be circumvented if the transition from proton to neutron occurs coherently for large enough surface patch. This would give rate proportional to N2, where N is the number electrons involved. Another mechanism hoped to help to get high enough reaction rate is based on the assumption that the neutron created by the capture process has ultra-low momentum. This is the case if the mass renormalization of electron is such that the energies of the neutrons produced in the reaction are just above the kinematical threshold. Note however that this reduces the electon capture cross section. The argument is that the absorption rate for neutron by target nucleus is by very general arguments proportional to 1/vn, vn the velocity of neutron. Together these two mechanisms are hoped to give high enough rate for cold fusion.

  3. The model must also explain why gamma radiation is not observed and why neutrons are produced much less than expected. Concerning gamma rays one must assume that the heavy electrons of the plasmon phase assigned to the surface of the catalyst absorb the gamma rays and re-emit them as infrared light emitted to environment as heat. Ordinary electrons cannot absorb gamma rays but heavy electrons can (see this), and the claim is that they do transform gamma rays to infrared photons. If the neutrons created in LENR have ultra-low energies their capture cross sections are enormous and the claim is that they do not get out of the system.

The assumption that electron mass is renormalized so that the capture reaction can occur but occurs only very near threshold so that the resulting neutrons are ultraslow has been criticized (see this).

TGD variant of the model

TGD allows to consider two basic approaches to the LENR.

  1. Option I involves only dark nucleons and dark quarks. In this case, one can imagine that the large Compton length of dark proton - at least of order atomic scale - implies that it overlaps target nucleus, which can see the negatively charged d quark of the proton so that instead of Coulomb wall one has Coulomb well.

  2. Option II involves involves both dark weak bosons and possibly also dark nucleons and dark electrons. The TGD inspired model for living matter - in particular, the model for cell membrane involving also Z0 membrane potential in the case of sensory receptor neurons (see this) - favors the model involving both dark weak bosons, nucleons, and even electrons. Chiral selection for biomolecules is extremely difficult to understand in standard model but could be understood in terms of weak length scale of order atomic length scale at least: below this scale dark weak bosons would be effectively massless and weak interactions would be as strong as em interactions. The model for electrolysis based on plasmoids identified as primitive life forms supports also this option. The presence of dark electrons is suggested by Tesla's cold currents and by the model of cell membrane.

    This option is fixed quantitatively by the condition that the Compton length of dark weak bosons is of the order of atomic size scale at least. The ratio of the corresponding p-adic size scales is of order 107 and therefore one has heff∼ 1014. The condition that heff/h=2k guarantees that the phase transion reducing heff to h and increasing p-adic prime p by about 2k and p-adic length scale by 2k/2 does not change the size scale of the space-time sheet and liberates cyclotron magnetic energy En(1-2-k) ≈ En.

Consider next Option II by requiring that the Coulomb wall is overcome via the transformation of proton to neutron. This would guarantee correct isotope ratios for nuclear transmutations. There are two options to consider depending on whether a) the W boson is exchanged between proton nucleus (this option is not possible in standard model) or b) between electron and proton (the model of Widom and Larsen relying on the critical massivation of electron).
  1. Option II.1. Proton transforms to neutron by exchanging W boson with the target nucleus.

    1. In this case kinematics poses no obvious constraints on the process. There are two options depending on whether the neutron of the target nucleus or quark in the neutral color bond receives the W boson.

    2. If electron and proton are dark with heff/h=n=2k in the range [1012,1014] the situation can change since W boson has its usual mass from the point of view of electron and proton. hbar4/mW4 factor in differential cross section for 2-to-2 scattering by W exchange is scaled up by n4 (see the appendix of kenocitebthe/Iztykson so that effectively mW would be of order 10 keV for ordinary hbar.

    3. One can argue that in the volume defined by proton Compton length λp≈ 2-11 λe ∈ [1.2, 12] nm one has a superposition of amplitudes for the absorption of dark proton by nucleus. If there are N nuclei in this volume, the rate is proportional to N2. One can expect at most N∈ [103,106] target nuclei in this volume. This would give a factor in the range 109-1012.
  2. Option II.2: Electron capture by proton is the Widom-Larsen candidate for the reaction in question. As noticed, this process cannot occur unless one assumes that the mass of electron is renormalized to have a value in a range of few MeV. If dark electrons are heavier than ordinary, the process could be mediated by W boson exchange and if the electron and proton have their normal sizes the process occurs with same rate as em processes.

    If electron and proton are dark with heff/h=n ∈ [1012,1014] the situation can change since W boson has its usual mass from the point of view of electron and proton. 2-to-2 cross section is proportional to hbar4 and is scaled up by n4. One the other hand, the naive expectation is that |Ψ (0)|2∝ me3/heff3 ∝ 1/n-3 for electron is scaled by n-3 so that the rate is increased by a factor of order n∈ [1012,1014] (electron Compton length is of order cell size scale! instead of Angstrom) from its ordinary value. This is not enough.

    On the other hand, one can argue in the volume defined by proton Compton size one has a superposition of amplitudes for the absorption of electron. If there are N dark electrons in this volume, the rate is proportional to N2. One can expect at most 106 dark electrons in the volume of scale 10 nm so that this could give a factor 1012. This would give amplification factor 1026 to the weak rate so that it would be only by two orders of magnitude smaller than the rate for massless weak bosons.

There are also other strange features to be understood.
  1. The absence of gamma radiation could be due to the fact that the produced gamma rays are dark. For heff/h ∈ [1012,1014] the energy frequency of 1 MeV dark gamma ray would correspond to that of photon with energy of [1,.1] μeV and thus to radiowave photon with wavelength of order 1 m and frequency of orer 3× 108 Hz. In Widom-Larsen model the photons would be infrared photons. The decay of the dark gamma ray to a bunch of ordinary radiowave photons should be observed as radio noise. Note that Gariaev has observed transformation of laser light scattered from DNA to radio wave photons with frequencies down to 1 kHz at least.

  2. The absence of the neutrons could be understood if they are dark. The absorption cross section is proportional to hbar3 giving a huge amplification factor in the range [109,1012]. This implies that they are absorbed by nuclei coherently in a a volume of order 1.2-12 nm so that an additional amplification factor N2∈ [109,1012] would be obtained. And the capture rate is amplified by a factor in the range [1018,1026]. Effectively this corresponds to the assumption of Widom and Larsen stating that neutrons have ultra-low momentum.
The natural question is why heff us such that the resulting scale as photon wavelength corresponds to energy in scale 10-100 keV. The explanation could relate to the predicted exotic nuclei obtained by replacing some neutral color bonds connecting nucleons with charged ones and exchange of weak boson would affect this replacement. Could the weak physics associated with heff∈ [1012,1014] be associated with dark color bonds? The reported annual variations of the nuclear reaction rates correlating with the distance of Earth from Sun suggest that these variations are induced by solar X rays (see this).

For background see the chapter Nuclear Physics and Condensed Matter of "p-Adic Length Scale Hypothesis and Dark Matter Hierarchy".