How an exact discrete symmetry can preserve black hole information or Turning a black hole inside out

TL;DR

This paper proposes that an exact binary symmetry arising from Kruskal-Szekeres coordinates can eliminate the black hole interior, potentially resolving the information paradox by making the interior a quantum clone of the exterior.

Contribution

It introduces a novel perspective that uses spacetime doubling and symmetry to address the black hole information paradox, overlooked in previous literature.

Findings

Spacetime doubling via Kruskal-Szekeres coordinates creates a binary symmetry.

Conservation of this symmetry can eliminate the black hole interior.

The approach offers a potential resolution to the information paradox.

Abstract

To apply the laws of General Relativity to quantum black holes, one first needs to remove the horizon singularity by means of Kruskal-Szekeres coordinates. This however doubles spacetime, which thereby is equipped with an exact binary symmetry. All particles near a black hole share the same symmetry, and conservation of this symmetry may completely remove the information paradox: the quantum black hole has no interior, or equivalently, the black hole interior is a quantum clone of the exterior region. These observations, totally overlooked in most of the literature on quantum black holes, resolve some issues concerning conservation of information. Some other problems do remain.