Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole

TL;DR

This paper investigates Hawking radiation as quantum tunneling from a noncommutative Schwarzschild black hole, revealing no mode correlation in radiation and suggesting stable remnants could preserve information.

Contribution

It introduces a model of black hole tunneling in noncommutative spacetime considering Gaussian mass smearing, highlighting effects on radiation and information preservation.

Findings

No correlation between radiation modes in noncommutative setup

Black hole remnants may preserve information

Radiation remains thermal at late times

Abstract

We study tunneling process through quantum horizon of a Schwarzschild black hole in noncommutative spacetime. This is done by considering the effect of smearing of the particle mass as a Gaussian profile in flat spacetime. We show that even in this noncommutative setup there will be no correlation between the different modes of radiation which reflects the fact that information doesn't come out continuously during the evaporation process at least at late-time. However, due to spacetime noncommutativity, information might be preserved by a stable black hole remnant.