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

Abstract

We consider a new mass scale $M_T=({\hslash }^2\sqrt{\Lambda }/G{)}^{1/3}$ constructed from dimensional analysis by using $G$, $\hslash$ 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 $M_T^{\prime }=c(\hslash /G^2\sqrt{\Lambda }{)}^{1/3}$ 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.

17 pages, 3 figures