Abstract

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. I argue that this follows naturally from loop quantum gravity and a result of Kolmogorov and Bardzin' on the the realizability of networks in three dimensions. This represents an alternative to other approaches in which some sort of correlation between field configurations helps limit the degrees of freedom within a region. It also provides an approach to thinking about black hole entropy in terms of states inside rather than on its surface. Intuitively, a spin network complicated enough to imbue a region with volume only lets that volume grow as quickly as the area bounding it.

Notes

Originally posted at http://arxiv.org/abs/gr-qc/0505111v2. Preprint of an article published in International Journal of Modern Physics D (IJMPD), 2005.

Keywords

black hole thermodynamics

Subject Categories

General relativity (Physics), Quantum cosmology, Entropy, Quantum gravity

Disciplines

Physics

Publication Date

2005

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