Exponential corrections to black hole entropy

TL;DR

This paper demonstrates that black hole horizon area spectra are discrete and quantized, and it predicts exponential corrections to the Bekenstein-Hawking entropy based on horizon microstates, independent of specific quantum gravity theories.

Contribution

It shows the area spectrum must be discrete and half-integer spaced, and derives exponential entropy corrections from horizon microstate counting without relying on a particular quantum gravity model.

Findings

Area spectrum is discrete and half-integer spaced.

Exponential correction to black hole entropy is derived.

Results are independent of specific quantum gravity theories.

Abstract

Using the quasilocal properties alone we show that the area spectrum of a black hole horizon must be discrete, independent of any specific quantum theory of gravity. The area spectrum is found to be half-integer spaced with values $8\pi \gamma \ell_{p}^{2}j$ where $j\in \mathbb{N}/2$. We argue that if microstate counting is carried out for quantum states residing on the horizon only, correction of $\exp(-\mathcal{A}/4\ell_{p}^{2})$ over the Bekenstein-Hawking area law must arise in black hole entropy.