Monday, January 18, 2021

Negentropy Maximization Principle and Second Law

Negentropy Maximization Principle (NMP) as the variational principle of consciousness replaces the  second law  and implies it for ordinary matter.  State function reduction (SFR) means a reduction of the entanglement for a  pair Sa-Sb of sub-system  Sa and its complement Sb in S.   Measurement cascade proceeding from long to short scales decomposes  at each step a system to a pair of unentangled subsystems is in question. NMP  as a variational principle of consciousness  states that negentropy gain in these reductions  is maximized and selects the pair Sa-Sb at given step.     

In adelic physics the  negentropy is sum N= -S1-S2 of real and various p-adic negentropies but p-adic negentropy can be positive so that  for non-trivial extensions of rationals one can have N>0. This kind of entanglement   is stable against NMP so that the process stops. One can assign positively colored emotions to this kind of entanglement and it distinguishes between living and inanimate matter and also between dark and ordinary matter.

An attractive idea is that NMP forces the system to peferom "big" state function reduction (BSFR) when system approaches cognitive fixed point. This would mean death of the conscious entity and its re-incarnation with an opposite arrow of time.

See the article Negentropy Maximization Principle and Second Law or the chapter Negentropy Maximization Principle.

For a summary of earlier postings see Latest progress in TGD.

Articles and other material related to TGD. 

Monday, January 11, 2021

Is genetic code part of fundamental physics in TGD framework?

Topological Geometrodynamics (TGD) leads to 3 basic realizations of the genetic code. Besides the chemical realization, there is a realization in terms of dark proton sequences (dark nuclei) with 3-proton state representing codon. Ordinary DNA strands would be accompanied by dark magnetic flux tubes carrying the dark proton triplets. Also RNA, amino-acids and tRNA would have dark proton analogs.

The third realization is in terms of dark photon triplets and involves the notion of bio-harmony modelled in terms of icosahedral and tetrahedral geometries with 3-chords of light assigned to the triangular faces of icosahedron and tetrahedron. 12-note scale is realized as a Hamiltonian cycle for icosahedron with the step between nearest neighbor vertices for the cycle realised as a quint scaling of frequency. The 3-chords correspond to the triangular faces of the icosahedron. Also tetrahedral realization of 4-note scale is necessary in order to obtain genetic code. DNA codons correspond to triangular faces and the orbit of a given triangle under the symmetries of the icosahedral harmony correspond to DNA codons coding for the amino acid assigned with the orbit. Vertebrate genetic code emerges as a prediction.

Codon corresponds to 6 bits: this is information in the usual computational sense. Bio-harmony codes for a mood: emotional information related to emotional intelligence. Bio-harmony would be a fundamental representation of emotional information realized already at the molecular level. Dark photon 3-chords and more generally, 3N-chords representing genes, would mediate interaction between various realizations.

Why both icosahedron and tetrahedron? Could this relate to the fact that the tesselations of a hyperbolic space H3 are in fundamental role in quantum TGD. There is one particular tesselation known as tedtrahedral-icosahedral honeycomb. Could the genetic code be realized at the level of fundamental physics as a tedrahedral-icosahedral tesselation of H3 emerging as a cognitive representation for space-time surfaces at the level of M8 and by M8-H duality also in H=M4× CP2. Biological realization could be only one particular realization.

It should be possible to unify all models of the genetic code to single model so that the codon as a dark proton triplet is assigned to a representation as an "active" triangle of icosahedron or tetrahedron containing at it vertices dark protons defining the same codon as the triangle as 3-chord for a given icosahedral harmony. Could these "activated" triangles be assigned with tetrahedral-icosahedral tesselation? Could genes correspond to sequences of these icosahedron-tetrahedron pairs at magnetic flux tubes defined dark generatic code.

See the article Is genetic code part of fundamental physics in TGD framework? or the chapter An Overall View about Models of Genetic Code and Bio-harmony .

Articles and other material related to TGD.

For a summary of earlier postings see Latest progress in TGD.