Holographic Bound from Second Law

Details Holographic Bound from Second Law Holographic Bound from Second Law

2000-07-24

arxiv.org/abs/gr-qc/0007062v1

Ninth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Rela

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Invited talk at Marcel Grossman IX meeting in Rome, July 2000; improved version of Phys. Lett. B 481, 339 (2000). 7 pages, LaT

Scientific paper

The holographic bound that the entropy (log of number of quantum states) of a system is bounded from above by a quarter of the area of a circumscribing surface measured in Planck areas is widely regarded a desideratum of any fundamental theory, but some exceptions occur. By suitable black hole gedanken experiments I show that the bound follows from the generalized second law for two broad classes of isolated systems: generic weakly gravitating systems composed of many elementary particles, and quiescent, nonrotating strongly gravitating configurations well above Planck mass. These justify an early claim by Susskind.

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