An Exact Black Hole Entropy Bound

TL;DR

This paper demonstrates that a Rademacher expansion can precisely bound black hole entropy within conformal field theories, accounting for all subleading corrections to the classical Bekenstein-Hawking entropy.

Contribution

It introduces an exact entropy bound using Rademacher expansion, including all subleading corrections, advancing the theoretical understanding of black hole thermodynamics.

Findings

Derived an exact entropy bound for black holes.

Included all subleading corrections to Bekenstein-Hawking entropy.

Validated the bound within a conformal field theory framework.

Abstract

We show that a Rademacher expansion can be used to establish an exact bound for the entropy of black holes within a conformal field theory framework. This convergent expansion includes all subleading corrections to the Bekenstein-Hawking term.