Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole

TL;DR

This paper demonstrates that noncommutative geometry, GUP, and self-gravitational effects induce Planck-scale nonthermal correlations in Hawking radiation, suggesting a potential mechanism for information retrieval from black holes.

Contribution

It introduces a model combining noncommutative geometry and GUP to show how correlated emissions can carry information during black hole evaporation.

Findings

Nonthermal Hawking spectrum exhibits Planck-scale correlations.

Self-gravitational effects influence emission correlations.

Information may be encoded in correlated emissions.

Abstract

Using the noncommutative geometry inspired Vaidya metric obtained in terms of coordinate coherent states and also utilizing the generalized uncertainty principle (GUP), we show that the nonthermal nature of the Hawking spectrum leads to Planck-scale nonthermal correlations between emitted modes of evaporation. Our analysis thus exhibits that owing to self-gravitational effects plus noncommutativity and GUP influences, information can emerge in the form of Planck-scale correlated emissions from the black hole.