Toward a proof of entropy increase in the presence of quantum black holes

Details Toward a proof of entropy increase in the presence of quantum black holes Toward a proof of entropy increase in the presence of quantum black holes

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvl..56.1885s&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 56, May 5, 1986, p. 1885-1888. NASA-supported research.

Astronomy and Astrophysics

Astronomy

34

Black Holes (Astronomy), Cosmology, Entropy, Quantum Theory, Markov Processes

Scientific paper

A sufficient condition for the quantum entropy to be nondecreasing under a trace-preserving positive linear map is that the 'totally random' state be stationary. It is argued that this condition will be satisfied by the quantum system consisting of the region external to one or more black holes. This would explain why a 'generalized second law of thermodynamics' appears to hold in the presence of black holes.

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