Topological derivation of Black Hole entropy by analogy with a chain polymer
arXiv:gr-qc/0201003 · doi:10.1103/PhysRevD.66.104006
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.
Some misleading sentences are corrected. Accepted for publication in Phys. Rev. D