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

TL;DR

This paper models black hole micro-states using an analogy with elastic chain polymers, deriving the Bekenstein-Hawking entropy from topological considerations of the crease set structure.

Contribution

It introduces a novel topological approach to black hole entropy by relating crease set micro-structures to chain polymer models, reproducing known entropy results.

Findings

Entropy estimation matches Bekenstein-Hawking entropy

Crease set micro-structure modeled as elastic chain

Provides a topological derivation of black hole entropy

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.