A Quantum Weak Cosmic Censorship and Its Proof

TL;DR

This paper proposes a semiclassical quantum principle, called Quantum Weak Cosmic Censorship, which prevents naked singularities by linking thermodynamic consistency with spacetime geometry.

Contribution

It establishes a new quantum-based censorship mechanism governed by Generalized Entropy, extending classical ideas to include quantum effects.

Findings

Quantum Weak Cosmic Censorship forbids naked singularities in semiclassical gravity.

The principle is more robust than classical censorship, accounting for quantum effects.

It connects thermodynamic consistency with the geometric structure of spacetime.

Abstract

Recent work has highlighted the deep connection between quantum information and spacetime geometry. Bousso and Shahbazi-Moghaddam (Phys. Rev. Lett. 128, 231301 (2022)) proved that ``hyperentropic'' regions -- where entropy exceeds the area bound -- inevitably lead to singularity formation. In this work, we explore the converse implication: does the thermodynamic consistency of such singularities require them to be hidden? We answer in the affirmative, establishing a Quantum Weak Cosmic Censorship principle governed by Generalized Entropy. This provides a semiclassical mechanism for censorship which forbids naked singularities. Since Quantum Weak Cosmic Censorship is a semiclassical statement, it is more robust than the classical Weak Cosmic Censorship showing naked singularities are forbidden in nature even if quantum effects are taken into account.