Logarithmic Corrections in Black Hole Entropy Product Formula

TL;DR

This paper investigates how stable thermal fluctuations affect black hole entropy product formulas, demonstrating that such effects make the entropy product mass-dependent and non-quantized, with specific examples for different black hole types.

Contribution

It provides explicit calculations showing the impact of thermal fluctuations on black hole entropy products, challenging previous assumptions of mass-independence and quantization.

Findings

Entropy product becomes mass-dependent due to thermal fluctuations.

Entropy product is not quantized when thermal effects are considered.

Results are demonstrated through examples of non-rotating and rotating black holes.

Abstract

It has been shown by explicit and exact calculation that whenever we have taken the \emph{effects of stable thermal fluctuations} the entropy product formula should \emph{not be mass-independent} nor \emph{does it quantized}. It has been examined by giving some specific examples for non-rotating and rotating black hole.