Re: [Fis] Re: quantum entropy

Dear Koichiro and colleagues,

Could quantum entropies be the leit motiv to explain the evolution of
consciousness --and the conundrums we have to face concerning time regimes?

Reminding a neurophilosophical work by Edelman, and his emphasis on the
neuronal rhythms architecture as a necessary tool to couple the neuronal
representations of the "I" and the "World", one can speculate on a positive
answer to the previous question.

If the neuronal "I" of the conscious observer is kept within a regime of
quantum coherence (Hameroff, Penrose and other parties) and the "World"
and the body itself are under an obvious regime of decoherence, then the
'observer' becomes caught into an inseparable duality of time regimes:
somehow being capable of contemplating the continuous fall of the whole
organism into the irreversible time regime of decoherence.

I do not mean any big word, just that the neuronal tissue of mammals is
suffering a tremendous burden of molecular processing to handle its
distributed system of memories (close to loose its physiological
adaptability at all), and its 'erasure' molecular costs would escalate
beyond measure unless the conscious brain would not perform most of such
erasure operations within the realm of quantum entropies.

Perhaps reflecting on these themes we could elaborate a new angle to
discuss quantum-information in the biological brain (and about classical
problems involving time paradoxes of observers).

best

Pedro

At 12.13 11/5/04 +0900, you wrote:
> Folks,
>
> Sergey Trigger and Thorsten Poeschel made a good point as referring to
>the relationship between the quantum entropy or the von Neumann entropy and
>the Wigner function. Of course, there should be a long way to go to reach
>standard thermodynamic entropy as starting from the von Neumann entropy.
>Even worse, we are not sure at this moment whether this would be a promising
>enterprise likely to succeed, though there have been a few toy models for
>its favor. Quantum mechanics is notorious in making the phase-space
>probability distribution or density function, i.e., the Wigner function, not
>necessarily positive-definite. Nonetheless, the participation of the density
>function will be inevitable if the process of measurement is seriously taken
>in quantum mechanics. At this point may enter Pedro's biological
>contamination.
>
> In order to calculate either the von Neumann entropy or the Wigner
>function, we would definitely require to answer the question of what is the
>basis set to rely upon or the unit to count on. The basis set is defined as
>the set each member of which is taken not to decohere any further on its
>own. The real question is what would the basis set look like. As far as
>non-biological realm is concerned, physicists have earned a good reputation
>in zeroing in the right basis set. However, material processes can proceed
>without the supervision by the overseeing physicists. Biology is just a case
>in point. One requirement for serving as the basis set is its robustness
>against the environmental disturbances or decoherences. What is most
>intriguing is that biological stuff is extremely sophisticated in contriving
>robust quantum phenomena for their own sake far beyond our mere theoretical
>imagination. If we are lucky enough to identify any part of the robustness
>of quantum phenomena in nature, it would certainly help us in picking up the
>right basis set in physics in general.
>
> Cheers,
> Koichiro
>
>
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Received on Wed May 12 13:54:00 2004