Horizon quantum mechanics for coherent quantum black holes

TL;DR

This paper applies horizon quantum mechanics to coherent quantum states of gravity, showing quantum corrections affect black hole horizon size significantly when the matter core is near the Compton wavelength, with high probability of being a black hole.

Contribution

It extends horizon quantum mechanics to coherent quantum states, quantifying the probability of matter being inside the horizon and analyzing quantum corrections to classical black hole radii.

Findings

Quantum corrections are significant for cores near the Compton length.

Black hole probability remains high unless the core radius approaches the classical radius.

Quantum effects alter the classical horizon size in specific regimes.

Abstract

The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside the horizon. We find that quantum corrections to the classical horizon radius become significant if the matter core has a size comparable to the Compton length of the constituents and the system is indeed a black hole with probability very close to one unless the core radius is close to the (classical) gravitational radius.