Horizon quantum fuzziness for non-singular black holes

TL;DR

This paper investigates quantum gravitational effects inside non-singular black holes using Horizon Quantum Mechanics, showing that quantum effects do not significantly alter the classical structure and internal horizons are highly suppressed.

Contribution

It introduces a microscopic model of the horizon with off-shell gravitons and analyzes quantum effects in non-singular black holes, demonstrating the stability of the classical description.

Findings

Quantum effects do not destroy the classical non-singular structure.

Internal horizons are negligible due to suppression by many virtual gravitons.

Quantum resolution of singularities aligns with classical general relativity.

Abstract

We study the extent of quantum gravitational effects in the internal region of non-singular, Hayward-like solutions of Einstein's field equations according to the formalism known as Horizon Quantum Mechanics. We grant a microscopic description to the horizon by considering a huge number of soft, off-shell gravitons, which superimpose in the same quantum state, as suggested by Dvali and Gomez. In addition to that, the constituents of such a configuration are understood as loosely confined in a binding harmonic potential. A simple analysis shows that the resolution of a central singularity through quantum physics does not tarnish the classical description, which is bestowed upon this extended self-gravitating system by General Relativity. Finally, we estimate the appearance of an internal horizon as being negligible, because of the suppression of the related probability caused by the large number of virtual gravitons.