Singularities from Hyperentropic regions using the Quantum Expansion

TL;DR

This paper extends a theorem about hyperentropic surfaces and null generators by incorporating quantum expansion, discussing implications for the quantum focusing conjecture in the context of spacetime singularities.

Contribution

It introduces a quantum expansion-based version of a previous theorem on hyperentropic surfaces and explores its relation to the quantum focusing conjecture.

Findings

Quantum expansion modifies classical null generator theorems.

Discussion of quantum focusing conjecture implications.

Potential insights into spacetime singularities.

Abstract

A recent paper \cite{Bousso:2022cun} put forward a theorem showing that hyperentropic surface would result in incomplete null generators for a null hypersurface emanating from the surface provided it satisfies the null curvature condition and the spacetime is globally hyperbolic. In this paper, we will put forward a version of this theorem using the quantum expansion in place of the classical expansion, and we will discuss the quantum focusing conjecture in this regard.