Non-thermal radiation of black hole off canonical typicality

TL;DR

This paper derives a non-thermal Hawking radiation spectrum for black holes using canonical typicality, showing that the spectrum depends only on external parameters and resolving the information paradox through correlations.

Contribution

It introduces a novel approach using canonical typicality to obtain black hole radiation spectra based on entropy and external qualities, bypassing detailed tunneling dynamics.

Findings

Non-thermal spectrum depends only on black hole's external parameters.

The approach naturally resolves the black hole information paradox.

Correlation between black hole and radiation explains information recovery.

Abstract

We study the Hawking radiation of black holes by considering the canonical typicality. For the universe consisting of black holes and their outer part, we directly obtain a non-thermal radiation spectrum of an arbitrary black hole from its entropy, which only depends on a few external qualities (known as hairs), such as mass, charge, and angular momentum. Our result shows that the spectrum of the non-thermal radiation is independent of the detailed quantum tunneling dynamics across black hole horizon. We prove that the black hole information paradox is naturally resolved by taking account the correlation between black hole and its radiation in our approach.