Horizon Quantum mechanics: spherically symmetric and rotating sources

TL;DR

Horizon Quantum Mechanics provides a framework for analyzing the quantum properties of black hole horizons, revealing limitations for singular models and supporting extended, corpuscular descriptions, especially for rotating black holes.

Contribution

This work extends Horizon Quantum Mechanics to include rotating sources and corpuscular models, addressing horizon fluctuations and the nature of extremal geometries.

Findings

Unacceptably large horizon fluctuations for singular black holes.

Extended models avoid large fluctuations and incorporate rotation.

Inner horizon formation is suppressed in simple configurations.

Abstract

The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism and show how it reproduces a gravitationally inspired GUP relation. This results leads to unacceptably large fluctuations in the horizon size of astrophysical black holes if one insists in describing them as (smeared) central singularities. On the other hand, if they are extended systems, like in the corpuscular models, no such issue arises and one can in fact extend the formalism to include asymptotic mass and angular momentum with the harmonic model of rotating corpuscular black holes. The Horizon Quantum Mechanics then shows that, in simple configurations, the appearance of the inner horizon is suppressed and extremal (macroscopic) geometries seem disfavoured.