Holographic Bound from Second Law
Abstract
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.
Cite
@article{arxiv.gr-qc/0007062,
title = {Holographic Bound from Second Law},
author = {Jacob D. Bekenstein},
journal= {arXiv preprint arXiv:gr-qc/0007062},
year = {2007}
}
Comments
Invited talk at Marcel Grossman IX meeting in Rome, July 2000; improved version of Phys. Lett. B 481, 339 (2000). 7 pages, LaTeX with included mprocl.sty