Entropy Product Formula for Gravitational Instanton

TL;DR

This paper explores the entropy product formula in gravitational instantons, proposing their universal and quantized nature due to mass-independent features, contrasting with the failure of these properties in isolated Euclidean Schwarzschild black holes.

Contribution

It introduces the idea that entropy product formulas for gravitational instantons are universal and quantized, highlighting differences from Schwarzschild black holes.

Findings

Entropy product formulas are mass-independent for gravitational instantons.

These properties are proposed to be universal and quantized.

The properties fail for isolated Euclidean Schwarzschild black holes.

Abstract

We investigate the entropy product formula for various gravitational instantons. We speculate that due to the mass-independent features of the said instantons they are \emph{universal} as well as they are \emph{quantized}. For isolated Euclidean Schwarzschild black hole, these properties simply \emph{fail}.