Semi-classical black holes with large N re-scaling and information loss problem

TL;DR

This paper explores how large N re-scaling of semi-classical black holes impacts the information loss problem, suggesting that complementarity cannot fundamentally resolve it and emphasizing the need to address singularities.

Contribution

It introduces a large N re-scaling method for semi-classical black holes and argues that complementarity alone cannot solve the information loss problem.

Findings

Large N re-scaling reduces curvature without altering causal structure.

Black hole complementarity cannot fundamentally resolve information loss.

Resolving information loss requires addressing the singularity problem.

Abstract

We consider semi-classical black holes and related re-scalings with N massless fields. For a given semi-classical solution of an N = 1 universe, we can find other solution of a large N universe by the re-scaling. After the re-scaling, any curvature quantity takes a sufficiently small value without changing its causal structure. Via the re-scaling, we argue that black hole complementarity for semi-classical black holes cannot provide a fundamental resolution of the information loss problem, and the violation of black hole complementarity requires sufficiently reasonable amounts of N. Such N might be realized from some string inspired models. Finally, we claim that any fundamental resolution of the information loss problem should resolve the problem of the singularity.