Pedro and Plamen raise good and welcomed points regarding the nature of
physics, information, and biology. Although I believe in a strong relationship
between information and physics in biology, there are striking examples where
direct correspondences between information, physics, and biology seem to
depart. Scientists are only beginning to tease out these discrepancies which
will undoubtedly give us a better understand of information.
For example, in the study of cognition by A. Khrennikov and colleagues and J.
Busemyer and colleagues, decisional processes may conform to quantum statistics
and computation without necessarily being mediated by quantum mechanical
phenomena at a biological level of description. I found this to be true in
ciliates as well, where social strategy search speeds and decision rates may
produce quantum computational phases that obey quantum statistics. In such
cases, a changing classical diffusion term of response regulator
reaction-diffusion parsimoniously accounts for the transition from classical to
quantum information processing. Thus, there is no direct correspondence between
quantum physicochemistry and quantum computation. Because the particular
reaction-diffusion biochemistry is not unique to ciliates (i.e., the same
phenomena is observed in plants, animals, and possibly bacteria), this
incongruity may be widespread across life.
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