Hidden Messenger from Quantum Geometry: Towards Information Conservation in Quantum Gravity

TL;DR

This paper explores how back reactions in quantum geometry affect information conservation in black holes, suggesting that the hidden messenger method remains viable within loop quantum gravity to address the black hole information paradox.

Contribution

It extends the hidden messenger approach to quantum geometries in loop quantum gravity, analyzing back reactions and their impact on entropy conservation.

Findings

Back reactions cause small area deformations in quantum geometries.

Hidden messenger method remains viable in loop quantum gravity.

Supports potential resolution of black hole information loss paradox.

Abstract

The back reactions of Hawking radiation allow nontrivial correlations between consecutive Hawking quanta, which gives a possible way of resolving the paradox of black hole information loss known as the hidden messenger method. In a recent work of Ma {\it et al} [arXiv:1711.10704], this method is enhanced by a general derivation using small deviations of the states of Hawking quanta off canonical typicality. In this paper, we use this typicality argument to study the effects of generic back reactions on the quantum geometries described by spin network states, and discuss the viability of entropy conservation in loop quantum gravity. We find that such back reactions lead to small area deformations of quantum geometries including those of quantum black holes. This shows that the hidden-messenger method is still viable in loop quantum gravity, which is a first step towards resolving the paradox of black hole information loss in quantum gravity.