Abstract
The statistical thermodynamics of systems displaying selective behavior is used to discuss some important ultimate physical limitations of computers and biological systems. These cluster around communication of information, measurement, and irreversible processes. The most fundamental limitation is irreducible increase of entropy accompanying selective acts like measurement of preparation. Relevant theory of machines (automata. Turing machines) and issues involved in physical realizations of those machines are discussed. Quantum measurement, the Einstein-Podolsky-Rosen paradox, the fundamental importance of irreversibility, information and entropy, and their relation to Goedel's theorems on completeness and consistency of formal systems are analyzed. Irreversibility of measurement appears necessary to provide quantum mechanics with the incompleteness needed to avoid inconsistency. Motivation and justification of computer paradigms for fundamental modeling of biological systems is given.
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Rothstein, J. Physics of selective systems: Computation and biology. Int J Theor Phys 21, 327–350 (1982). https://doi.org/10.1007/BF01857734
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DOI: https://doi.org/10.1007/BF01857734