A new mass scale, implications on black hole evaporation and holography

TL;DR

This paper introduces a new mass scale derived from fundamental constants, explores its implications for black hole evaporation and holography, and suggests black hole remnants could have a wide range of masses with entropy proportional to surface area.

Contribution

It proposes a novel mass scale based on dimensional analysis and discusses its significance for black hole physics and holography under modified uncertainty relations.

Findings

Black holes stop radiating at a new mass scale M'_T.

Black hole remnants can range from Planck mass to trillions of kilograms.

Holography remains valid even with modified uncertainty relations.

Abstract

We consider a new mass scale $M_{T}=(\hbar^{2}\sqrt{\Lambda}/G)^{1/3}$ constructed from dimensional analysis by using $G$, $\hbar$ and $\Lambda$ and discuss its physical interpretation. Based on the Generalized Uncertainty Relation, a black hole with age comparable to the universe would stop radiating when the mass reaches a new mass scale $M'_{T}=c(\hbar/G^{2}\sqrt{\Lambda})^{1/3}$ at which its temperature corresponds to the mass $M_{T}$. Black hole remnants could have masses ranging from a Planck mass to a trillion kilograms. Holography persists even when the uncertainty relation is modified to the Minimum Length Uncertainty Relation~(MLUR). The remnant black hole entropy is proportional to the surface area of the black hole in unit of the Planck area in arbitrary noncompact dimensions.