Holographic Bound From Second Law of Thermodynamics

Details Holographic Bound From Second Law of Thermodynamics Holographic Bound From Second Law of Thermodynamics

2000-03-08

arxiv.org/abs/hep-th/0003058v2

Phys.Lett. B481 (2000) 339-345

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 8 pages, no figures, several typos corrected

Scientific paper

10.1016/S0370-2693(00)00450-0

A necessary condition for the validity of the holographic principle is the holographic bound: the entropy of a system is bounded from above by a quarter of the area of a circumscribing surface measured in Planck areas. This bound cannot be derived at present from consensus fundamental theory. We show with suitable {\it gedanken} experiments that the holographic bound follows from the generalized second law of thermodynamics for both generic weakly gravitating isolated systems and for isolated, quiescent and nonrotating strongly gravitating configurations well above Planck mass. These results justify Susskind's early claim that the holographic bound can be gotten from the second law.

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