Hawking temperature of black holes using the EUP and EGUP formalisms based on the Einstein-Bohr's photon box

TL;DR

This paper derives modified Hawking temperature, mass, specific heat, and entropy for black holes using extended uncertainty principles based on Einstein-Bohr's photon box thought experiment.

Contribution

It introduces a novel approach to black hole thermodynamics by incorporating EUP and EGUP formalisms into the Schwarzschild metric.

Findings

Modified Hawking temperature expressions

Altered black hole entropy and specific heat

Insights into quantum gravity effects on black hole thermodynamics

Abstract

In this paper, by studying the Einstein-Bohr's photon box for weighting a photon, we find that the effective Newton constant can be proposed by the extended uncertainty principle and extended generalized uncertainty principle. We obtain the modified Hawking temperature, mass, specific heat, and entropy by using the modified Schwarzschild metric.