A comment on black hole entropy or does Nature abhor a logarithm?

TL;DR

This paper discusses the controversy over the logarithmic correction to black hole entropy, proposing that the prefactor might be zero, which aligns with some predictions and hints at a fundamental symmetry.

Contribution

It offers an independent argument suggesting the logarithmic prefactor in quantum black hole entropy could be zero, challenging the common assumption of a positive integer value.

Findings

Prefactor for logarithmic correction may be zero

Supports prior predictions of zero prefactor

Indicates possible fundamental symmetry

Abstract

There has been substantial interest, as of late, in the quantum-corrected form of the Bekenstein-Hawking black hole entropy. The consensus viewpoint is that the leading-order correction should be a logarithm of the horizon area; however, the value of the logarithmic prefactor remains a point of notable controversy. Very recently, Hod has employed statistical arguments that constrain this prefactor to be a non-negative integer. In the current paper, we invoke some independent considerations to argue that the "best guess" for the prefactor might simply be zero. Significantly, this value complies with the prior prediction and, moreover, seems suggestive of some fundamental symmetry.