Spacetime continuity and quantum information loss

TL;DR

This paper proposes that allowing a Planck-scale discontinuity in spacetime during black hole formation can preserve quantum information, maintain unitarity, and result in finite evaporation energy.

Contribution

It introduces a novel approach to black hole information loss by relaxing spacetime continuity at the Planck scale to ensure unitarity and finite energy emission.

Findings

Unitarity is achieved with a spacetime discontinuity.

Thermal equilibrium is established during evaporation.

Total emitted energy remains finite.

Abstract

Continuity across the shock wave of two regions in the metric during the formation of a black hole can be relaxed in order to achieve information preservation. A Planck scale sized spacetime discontinuity leads to unitarity (a constant asymptotic entanglement entropy) by restricting the origin of coordinates (moving mirror) to be timelike. Moreover, thermal equilibration occurs and total evaporation energy emitted is finite.