Modified clock inequalities and modified black hole lifetime

TL;DR

This paper derives modified black hole lifetime and information content formulas using a generalized uncertainty principle, impacting our understanding of black hole physics and quantum gravity.

Contribution

It introduces modified Salecker-Wigner inequalities based on a generalized uncertainty principle, leading to new formulas for black hole lifetime and information content.

Findings

Modified black hole lifetime formula incorporating quantum gravity effects

Adjusted number of bits needed to describe black hole information content

Implications for black hole thermodynamics and quantum information theory

Abstract

Based on a generalized uncertainty principle, Salecker-Wigner inequalities are modified. When applied to black holes, they give a modified black hole lifetime: $T_{\rm MB}\sim\frac{M^3}{m^3_{\rm p}}(1-m^2_{\rm p}/M^2)t_{\rm p}$, and the number of bits required to specify the information content of the black hole as the event horizon area in Planck units: $N\sim\frac{M^2}{m^2_{\rm p}}(1-m^2_{\rm p}/M^2)$.