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Showing posts from August, 2019

But can one calculate anything?

During this summer a dramatic progress in the understanding of SUSY in TGD framework occurred. As a consequence, there is now a rather concrete procedure for constructing S-matrix and precise formulation of quantum criticality. The simplest formulation of TGD involves only quarks, and leptons can be seen as local 3-quark composites - spartners of quarks.

The process from an idea to a precise mathematical theory took 41 years and forced a generalization of entire physics so that it is number theoretically universal and describes also the correlates of cognition. Consciousness theory becomes part of TGD based physics. Quantum physics is generalized considerably: hierarchy of Planck constants is one implication. Second deep implication is zero energy ontology (ZEO) allowing solve the basic paradox of quantum measurement theory.

In TGD framework M8-H duality allows to geometrize the notion of super-twistor in the sense that at the level of M8 different components of super-field corresp…

The recent view about SUSY in TGD Universe

The progress in understanding of M8-H duality throws also light to the problem whether SUSY is realized in TGD and what SUSY breaking does mean. It is now rather clear that sparticles are predicted and SUSY remains exact but that p-adic thermodynamics causes thermal massivation: unlike Higgs mechanism, this massivation mechanism is universal and has nothing to do with dynamics. This is due to the fact that zero energy states are superpositions of states with different masses. The selection of p-adic prime characterizing the sparticle causes the mass splitting between members of super-multiplets although the mass formula is same for all of them.

The question how to realize super-field formalism at the level of H=M4× CP2 led to a dramatic progress in the identification of elementary particles and SUSY dynamics. The most surprising outcome was the possibility to interpret leptons and corresponding neutrinos as local 3-quark composites with quantum numbers of anti-proton and anti-neu…

A visit to Baden-Baden

I participated a symposium held in Baden-Baden (31st International Conference on Systems Research, Informatics and Cybernetics – InterSymp 2019: Symposium on Causal and Anticipative Systems in Living Science, Biophysics, Quantum Mechanics, Relativity). The visit was pleasant: Baden-Baden is small town which has preserved its personal warm character.

I wrote a slightly extended version of the related article mentioning the recent experimental finding of Minev et al supporting zero energy ontology crucial for the approach. The following is the abstract of the article.



Topological Geometro-Dynamics (TGD) proposes a unification of fundamental interactions by identifying space-times as 4-surfaces in 8-D space H=M4× CP2, whose geometry codes for standard model symmetries and geometrizes known fields. Point-like particle is replaced with 3-surface (3-space). One ends up with the notions of many-sheeted space-time and magnetic body (MB) central in TGD inspired quantum biology. p-Adic an…

Could metaplectic group have some role in TGD framework?

Metaplectic group appears as a covering group of linear symplectic group Sp(2n,F) for any number field and its representations can be regarded as analogs of spinor representations of the rotation group. Since infinite-D symplectic group of δ M4+× CP2, where δ M4+ is light-cone boundary, appears as an excellent candidate for the isometries of the "world of classical worlds" in zero energy ontology (ZEO), one can ask whether and how the notion of metaplectic group could generalize to TGD framework.

The condition for the existence of metaplectic structure is same as of the spinor structure and not met in the case of CP2. One however expects that also the modified metaplectic structure exists if one couples spinors to an odd integer multiple of Kähler gauge potential. For triality 1 representation assignable to quarks one has n=1. The fact that the center of SU(3) is Z3 suggests that metaplectic group for CP2 is 3- or 6-fold covering of symplectic group instead of…

Phase transitions generating dark phases and sensory perception

The TGD based model for biological self-organization relies on the hierarchy heff=nh0 of effective Planck constants labelling dark phases of ordinary particles residing at magnetic flux quanta. This model generalizes and suggests the replacement of non-equilibrium thermodynamics as basis of self-organization with its quantum variant based on dark matter hierarchy. The challenge is to formulate basic thermodynamical notions like work in terms TGD based quantum theory relying on zero energy ontology (ZEO).

The basic mechanism would be a phase transition creating dark matter phase as a Bose-Einstein condensate like state with particles having identical conserved quantum numbers. Conservation laws would force the ordinary matter to have opposite total charges. For instance, in the case of work one has momentum or angular momentum as a conserved charge. In the case of charge separation and high Tc superconductivity it would be em charge. Even color charges can correspond to co…

Zero energy ontology and quantum model for nerve pulse

In TGD based model of nerve pulse axonal membrane is generalized cylindrical Josephson junction defined by axonal membrane consisting of smaller Josephson junctions defined by membrane proteins.




A sequence of mathematical penduli along axon in rotation in the same direction is the mechanical analog. Oscillation frequency Ω transforming to a rotation frequency above critical value is proportional to the resting potential V. When V is overcritical, the pendulum starts to rotate instead of oscillating. The system should be near quantum criticality for the transformation of rotation to oscillation or vice versa.



During nerve pulse membrane potential and therefore also rotation frequency is reduced and changes sign and then returns back to the original value. The first guess is that at criticality there is a kick reducing the rotation frequency Ω and continuing to change its sign and then return it to original.




The basic condition is that resting state becomes critical at crit…

Quantum self-organization by heff changing phase transitions

The TGD based model for biological self-organization relies on the hierarchy heff=nh0 of effective Planck constants labelling dark phases of ordinary particles residing at magnetic flux quanta. This model generalizes and suggests the replacement of non-equilibrium thermodynamics as basis of self-organization with its quantum variant based on dark matter hierarchy. The challenge is to formulate basic thermodynamical notions like work in terms TGD based quantum theory.

The basic mechanism would be a phase transition creating dark matter phase as a Bose-Einstein condensate like state with particles having identical conserved quantum numbers. Conservation laws would force the ordinary matter to have opposite total charges. For instance, in the case of work one has momentum or angular momentum as a conserved charge. In the case of charge separation and high Tc superconductivity it would be em charge. Even color charges can correspond to conserved charges in TGD framework allowi…