Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole

TL;DR

This paper explores quantum work in five-dimensional Myers-Perry black holes, incorporating non-perturbative quantum gravitational corrections into their information geometry to analyze stability at quantum scales.

Contribution

It introduces a quantum corrected information geometry for Myers-Perry black holes, accounting for non-perturbative quantum gravitational effects on quantum work and stability.

Findings

Quantum work is corrected by non-perturbative quantum gravity.

Quantum corrections influence black hole stability.

Modified information geometry provides new stability insights.

Abstract

In this paper, we will obtain quantum work for a quantum scale five dimensional Myers-Perry black hole. Unlike heat represented by Hawking radiation, the quantum work is represented by a unitary information preserving process, and becomes important for black holes only at small quantum scales. It will be observed that at such short distances, the quantum work will be corrected by non-perturbative quantum gravitational corrections. We will use the Jarzynski equality to obtain this quantum work modified by non-perturbative quantum gravitational corrections. These non-perturbative corrections will also modify the stability of a quantum Myers-Perry black hole. We will define a quantum corrected information geometry by incorporating the non-perturbative quantum corrections in the information geometry of a Myers-Perry black hole. We will use several different quantum corrected effective information metrics to analyze the stability of a quantum Myers-Perry black hole.