A lower bound on the Bekenstein-Hawking temperature of black holes

TL;DR

This paper proposes a quantum lower bound on the Bekenstein-Hawking temperature of black holes, supported by a thought experiment involving charged particles and Kerr black holes, establishing a fundamental temperature limit.

Contribution

It introduces a quantum lower bound on black hole temperature, derived from a gedanken experiment and mathematical proof, extending understanding of black hole thermodynamics.

Findings

Bound: T_BH * r_H > (/r_H)^2 for Kerr-Newman black holes

Supports existence of a quantum temperature limit for black holes

Provides a theoretical framework for black hole thermodynamics

Abstract

We present evidence for the existence of a quantum lower bound on the Bekenstein-Hawking temperature of black holes. The suggested bound is supported by a gedanken experiment in which a charged particle is dropped into a Kerr black hole. It is proved that the temperature of the final Kerr-Newman black-hole configuration is bounded from below by the relation $T_{\text{BH}}\times r_{\text{H}}>(\hbar/r_{\text{H}})^2$, where $r_{\text{H}}$ is the horizon radius of the black hole.