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It turns out possible to gain amazing additional insights about TGD inspired view of life and consciousness by generalizing England's approach discussed in previous posting. Several puzzling co-incidences find an explanation in the thermodynamical framework and the vision about solar system as a living quantum coherent entity gains additional support.
R(i→ f)/R(f*→ i*)= R , R= e-(Ei-Ef)/T .
Ei and Ef denote the energies of initial and final state. This formula is claimed to hold true even in non-equilibrium thermodynamics. It is important that the ratio of the rates does not depend at all on various coupling constant parameters. The equilibrium condition must be modified if initial and final states are fermions but it is assumed that states can be described as bosons. Note that in heat bath even fermion number need not be conserved.
R→ (D(Ei)/D(Ef) × e-(Ei-Ef)/T .
This generalization is essential in the sequel.
One can imagine two possible reasons for the presence of exponentially large factors compensating Boltzmann weights D(Ei). The first reason is that for heff=n× h the presence of n-fold degeneracy due to the n-fold covering of space-time surface reducing to 1-fold covering at its ends at the ends of CD is essential. Second possible reason is that the basic object are magnetic flux tubes modellable as strings with exponentially increasing density of states. These mechanisms could quite well be one and same.
Consider now the basic idea inspired by this formula in TGD framework.
THag = (61/2/2π) × (1/α')1/2 ,
where α' is string tension. In superstring models the value of string tension is huge but in TGD framework the situation is different. As a matter fact, the temperature can be rather small and even in the range of physiological temperatures.
In ZEO based quantum measurement theory and theory of consciousness time reversal indeed plays key role: self dies in state function reduction to the opposite boundary of CD and experiences re-incarnation as a time-reversed self. This process is essential element of memory, intentional action, and also remote metabolism, which all rely on negative energy signals travelling to geometric past assignable to time reversed sub-selves (mental images). The above formula suggests that intelligent life emerges near THag, where the time reversed selves are generated with high rate so that system remembers and pre-cognizes geometric future as it sleeps so that memory planned action are possible.
In TGD framework string tension can be identified as an effective parameter in the expression of Kähler action as stringy action for preferred extremal strongly suggested by strong form of holography (SH) allowing the description of the situation in terms of fermionic strings and partonic 2-surfaces or in terms of interiors of space-time surfaces and Kähler action. 1/heff2 dependence can be derived from strong form of holography assuming electric-magnetic duality for Kähler form, and using the fact that the monopoles associated with the ends have same magnetic and electric charges.
One can make this vision more detailed.
Note that this assumption makes sense for any interaction – say in the case of Coulomb interaction in heavy atoms: this assumption is indeed made in the model of leptohadrons (see this) predicting particles colored excitations of leptons lighter the weak bosons: this leads to a contradiction with the decay widths of weak bosons unless the colored leptons are dark. They would be generated in the heavy ion collisions when the situation is critical for overcoming the Coulomb wall.
The cyclotron energy spectrum of dark particles at magnetic flux tubes is proportional to hgr/m does not depend on particle mass being thus universal. In living matter cyclotron energies are assumed to be in the energy range of bio-photons and thus includes visible and UV energies and this gives a constraint on hgr if one makes reasonable assumption about strengths of the magnetic fields at the flux tubes (see this). Bio-photons are assumed to be produced in the transformation of dark photons to ordinary photons. Also (gravitational) Compton length is independent on particle mass being equal to Lgr=GM/v0: this is crucial for macrosopic quantum coherence at gravitational flux tubes.
TGR=hbar (GM/RS2 2π) = hbar/(8 π GM).
For Sun with Schwartschild radius rS=2GM=3 km one has TGR= 3.2× 10-11 eV.
Planck constant is replaced with hgr=GMm/v0= heff=n× h in the defining formula for Hawking temperature. Since Hawking temperature is proportional to the surface gravity of blackhole, one must replace surface gravity with that at the surface of the astrophysical object with mass M so that radius RS=2GM of the blackhole is replaced with the actual radius R of the astrophysical object in question. This gives
THaw= (m/8 π v0) ×> (RS/R)2 .
The amazing outcome is that for proton the estimate for the resulting temperature for M the solar mass, is 300 K (27 C), somewhat below the room temperature crucial for life!
Could Hagedorn temperature correspond to the highest temperature in which life is possible – something like 313 K (40 C)? Could it be that the critical range of temperatures for life is defined by the interval [THaw,THag]? This would require that THaw is somewhat smaller THag. Note that Hawking temperature contains the velocity parameter v0 as a control parameter so that Hawking temperature could be controllable. Of course, also THaw=THag can be considered. In this case the temperature of environment would be different from that of dark matter at flux tubes.
(α')-1/2≥ (m/4×61/2v0) × (RS/R) .