Quantum memory for Rindler supertranslations

TL;DR

This paper explores how supertranslation memories at Rindler horizons influence quantum entanglement, potentially offering insights into black hole information retention and the quantum aspects of horizon hair.

Contribution

It demonstrates the existence of a supertranslation quantum memory that affects entanglement across Rindler horizons, linking classical horizon hair to quantum information.

Findings

Classical supertranslation hair can be implanted on Rindler horizons.

Quantum supertranslation memory modulates entanglement between Rindler wedges.

Potential implications for black hole information paradox solutions.

Abstract

The Rindler horizon in Minkowski spacetime can be implanted with supertranslation hair by a matter shock wave without planar symmetry, and the hair is observable as a supertranslation memory on the Rindler family of uniformly linearly accelerated observers. We show that this classical memory is accompanied by a supertranslation quantum memory that modulates the entanglement between the opposing Rindler wedges in quantum field theory. A corresponding phenomenon across a black hole horizon may play a role in Hawking, Perry and Strominger's proposal for supertranslations to provide a solution to the black hole information paradox.