Quantum corrections and black hole spectroscopy

TL;DR

This paper investigates how higher-order quantum corrections influence black hole spectroscopy across various gravity theories, finding that the entropy spectrum remains evenly spaced and universal despite quantum effects, supporting the idea of a fundamental quantum of entropy.

Contribution

It demonstrates that higher-order quantum corrections do not alter the evenly spaced entropy spectrum in different gravity theories, confirming the universality of black hole entropy quantization beyond semiclassical approximation.

Findings

Entropy spectrum remains evenly spaced with quantum corrections.

Black hole entropy quantum is independent of gravity type.

Quantum corrections do not affect the universality of entropy quantization.

Abstract

In the work \cite{BRM,RBE}, black hole spectroscopy has been successfully reproduced in the tunneling picture. As a result, the derived entropy spectrum of black hole in different gravity (including Einstein's gravity, Einstein-Gauss-Bonnet gravity and Ho\v{r}ava-Lifshitz gravity) are all evenly spaced, sharing the same forms as $S_n=n$, where physical process is only confined in the semiclassical framework. However, the real physical picture should go beyond the semiclassical approximation. In this case, the physical quantities would undergo higher-order quantum corrections, whose effect on different gravity shares in different forms. Motivated by these facts, in this paper we aim to observe how quantum corrections affect black hole spectroscopy in different gravity. The result shows that, in the presence of higher-order quantum corrections, black hole spectroscopy in different gravity still shares the same form as $S_n=n$, further confirming the entropy quantum is universal in the sense that it is not only independent of black hole parameters, but also independent of higher-order quantum corrections. This is a desiring result for the forthcoming quantum gravity theory.