Relative entropy and the Bekenstein bound

Details Relative entropy and the Bekenstein bound Relative entropy and the Bekenstein bound

2008-04-14

arxiv.org/abs/0804.2182v3

Class.Quant.Grav.25:205021,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, minor changes and references added

Scientific paper

10.1088/0264-9381/25/20/205021

Elaborating on a previous work by Marolf et al, we relate some exact results in quantum field theory and statistical mechanics to the Bekenstein universal bound on entropy. Specifically, we consider the relative entropy between the vacuum and another state, both reduced to a local region. We propose that, with the adequate interpretation, the positivity of the relative entropy in this case constitutes a well defined statement of the bound in flat space. We show that this version arises naturally from the original derivation of the bound from the generalized second law when quantum effects are taken into account. In this formulation the bound holds automatically, and in particular it does not suffer from the proliferation of the species problem. The results suggest that while the bound is relevant at the classical level, it does not introduce new physical constraints semiclassically.

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