Non-Paradoxical Loss of Information in Black Hole Evaporation in a Quantum Collapse Model

TL;DR

This paper proposes a novel solution to the black hole information paradox by applying a modified quantum theory with spontaneous collapse, suggesting information is rapidly erased near singularities, avoiding paradoxes during black hole evaporation.

Contribution

It introduces a new approach using spontaneous collapse models in quantum theory to resolve the black hole information paradox, emphasizing high curvature regions.

Findings

Information is rapidly erased near the singularity.

Black hole evaporation can be non-paradoxical under this model.

Modified quantum theory aligns with black hole evaporation without information loss.

Abstract

We consider a novel approach to address the black hole information paradox (BHIP). The idea is based on adapting, to the situation at hand, the modified versions of quantum theory involving spontaneous stochastic dynamical collapse of quantum states, which have been considered in attempts to deal with shortcomings of the standard Copenhagen interpretation of quantum mechanics, in particular, the issue known as "the measurement problem". The new basic hypothesis is that the modified quantum behavior is enhanced in the region of high curvature so that the information encoded in the initial quantum state of the matter fields is rapidly erased as the black hole singularity is approached. We show that in this manner the complete evaporation of the black hole via Hawking radiation can be understood as involving no paradox. Calculations are performed using a modified version of quantum theory known as "Continuous Spontaneous Localization" (CSL), which was originally developed in the context of many particle non-relativistic quantum mechanics. We use a version of CSL tailored to quantum field theory and applied in the context of the two dimensional Callan-Giddings-Harvey-Strominger (CGHS) model. Although the role of quantum gravity in this picture is restricted to the resolution of the singularity, related studies suggest that there might be further connections.