Replica wormhole and AMPS firewall

TL;DR

This paper explores how replica wormhole topology in black hole evaporation can produce an AMPS firewall, suggesting a new link between spacetime topology and black hole information paradox resolution.

Contribution

It demonstrates that replica wormholes induce a Dirac delta force at the horizon, providing a potential mechanism for the firewall and addressing the black hole information paradox.

Findings

Replica wormholes cause a delta force at the horizon.

The force is proportional to the particle's energy squared.

Regularization schemes make the force physically meaningful.

Abstract

We investigate the potential for generating an AMPS firewall from the replica wormhole topology, which describes the post-Page time spacetime in the evaporation process of a black hole. Our analysis reveals that this topology gives rise to a Dirac delta force experienced by infalling particles at the event horizon, consistent with the AMPS firewall hypothesis. This force, proportional to the particle's total energy squared, is a direct consequence of the inherent Dirac delta in the Ricci scalar of the replica wormhole. We provide a regularization scheme for this force, which is crucial for obtaining physically meaningful results. Notably, our approach suggests that considering the replica wormhole resolves both the information paradox and the AMPS argument regarding the monogamy of entanglement simultaneously, yielding a more coherent framework.