Entropy and Area in Loop Quantum Gravity

Details Entropy and Area in Loop Quantum Gravity Entropy and Area in Loop Quantum Gravity

2005-05-22

arxiv.org/abs/gr-qc/0505111v2

Int.J.Mod.Phys. D14 (2005) 2301-2306

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, this essay received an Honourable Mention in the Gravity Research Foundation Essay Competition 2005; reformatted for

Scientific paper

10.1142/S0218271805007954

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.

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