Information in Black Hole Radiation

TL;DR

This paper discusses how information might escape from black holes through radiation, but suggests it could be extremely slow or dispersed, making it difficult to detect with perturbative methods.

Contribution

It provides an estimate indicating that information release in black hole radiation may be too slow or spread out to be observed with standard perturbative techniques.

Findings

Information may initially escape slowly from black holes.

Information spread could be too dispersed for detection.

Perturbative analyses may not reveal information escape.

Abstract

If black hole formation and evaporation can be described by an $S$ matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or else be so spread out, that it would never show up in an analysis perturbative in $M_{Planck}/M$, or in 1/N for two-dimensional dilatonic black holes with a large number $N$ of minimally coupled scalar fields.