Black hole information paradox without Hawking radiation

TL;DR

This paper introduces a new version of the black hole information paradox that does not rely on Hawking radiation, by demonstrating how entangling soft particles can increase black hole entropy beyond bounds.

Contribution

It proposes a novel paradox scenario involving entanglement entropy without Hawking radiation, narrowing the scope of potential solutions to the information paradox.

Findings

Entangling soft particles can increase black hole entropy arbitrarily.

This entropy increase can violate Bekenstein bound.

Existing solutions to the standard paradox may also address this new version.

Abstract

By entangling soft massless particles one can create an arbitrarily large amount of entanglement entropy that carries an arbitrarily small amount of energy. Dropping this entropy into the black hole (b.h.) one can increase the b.h. entropy by an amount that violates Bekenstein bound or any other reasonable bound, leading to a version of b.h. information paradox that does not involve Hawking radiation. Among many proposed solutions of the standard b.h. information paradox with Hawking radiation, only a few can also resolve this version without the Hawking radiation. The assumption that both versions should be resolved in the same way significantly helps to reduce the space of possible resolutions.