Entropy of Classical Histories

Details Entropy of Classical Histories Entropy of Classical Histories

1998-08-15

arxiv.org/abs/quant-ph/9808024v2

Phys.Rev. E59 (1999) 6370-6380

Physics

Quantum Physics

35 pages RevTeX 3.0 + 5 figures (postscript). Minor corrections and typos. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.59.6370

We consider a number of proposals for the entropy of sets of classical coarse-grained histories based on the procedures of Jaynes, and prove a series of inequalities relating these measures. We then examine these as a function of the coarse-graining for various classical systems, and show explicitly that the entropy is minimized by the finest-grained description of a set of histories. We propose an extension of the second law of thermodynamics to the entropy of histories. We briefly discuss the implications for decoherent or consistent history formulations of quantum mechanics.

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