Classical corrections to black hole entropy in $d$ dimensions: a rear window to quantum gravity?

TL;DR

This paper derives logarithmic corrections to black hole entropy in arbitrary dimensions using a classical, non-calculus approach, suggesting potential insights into quantum gravity without detailed quantum theories.

Contribution

It presents a simple, calculus-free derivation of entropy corrections for black holes, applicable in any dimension, and proposes a classical perspective to explore quantum gravity properties.

Findings

Logarithmic corrections to black hole entropy derived

Method avoids negative entropy issues for small black holes

Classical approach hints at quantum gravity insights

Abstract

We provide a simple derivation of the corrections for Schwarzschild and Schwarzschild-Tangherlini black hole entropy without knowing the details of quantum gravity. We will follow Bekenstein, Wheeler and Jaynes ideas, using summations techniques without calculus approximations, to directly find logarithmic corrections to well-known entropy formula for black holes. Our approach is free from pathological behaviour giving negative entropy for small values of black hole mass $M$. With the aid of Universality principle we will argue that this purely classical approach could open a window for exploring properties of quantum gravity.