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Topological derivation of Black Hole entropy by analogy with a chain polymer

Masaru Siino
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Abstract

The generic crease set of an event horizon possesses anisotropic structure though most of black holes are dynamically stable. This fact suggests that a generic almost spherical black hole has a very crumpled crease set in a microscopic scale though the crease set is similar to a point-wise crease set in a macroscopic scale. In the present article, we count the number of such micro-states of an almost spherical black hole by analogy with an elastic chain polymer. This estimation of black hole entropy reproduces the well-known Bekenstein-Hawking entropy of a Schwarzschild black hole.

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Masaru Siino. 2002-09-12. Topological derivation of Black Hole entropy by analogy with a chain polymer. https://doi.org/10.1103/physrevd.66.104006

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