CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula

TL;DR

This paper investigates how quantum fluctuations and conformal field theory affect the logarithmic corrections to black hole entropy product formulas, challenging their universality and quantization.

Contribution

It demonstrates that logarithmic corrections to the black hole entropy product are not universal or quantized when considering quantum effects and CFT.

Findings

Logarithmic corrections are non-universal.

Entropy product corrections are not quantized.

Quantum fluctuations influence entropy calculations.

Abstract

We examine the logarithmic corrections to the black hole (BH) entropy product formula of outer horizon and inner horizon by taking into account the \emph{effects of statistical quantum fluctuations around the thermal equilibrium} and \emph{via conformal field theory} (CFT). We argue that logarithmic corrections to the BH entropy product formula when calculated using CFT and taking into the effects of quantum fluctuations around the thermal equilibrium, the formula should \emph{not be universal} and it should also \emph{not be quantized}. These results have been explicitly checked by giving several examples.