Self-regular black holes quantized by means of an analogue to hydrogen atoms

TL;DR

This paper proposes a quantum black hole model inspired by hydrogen atom analogies, where black hole mass densities are linked to atomic probability densities, leading to horizon quantization and insights into black hole quantum properties.

Contribution

It introduces a novel quantum black hole model based on hydrogen atom analogies, connecting mass density distributions to atomic states and exploring horizon quantization.

Findings

Black hole mass is quantized based on atomic state probabilities.

The model supports horizon quantization through atomic analogies.

Discussion of quantum hoop conjecture and correspondence principle.

Abstract

We suggest a quantum black hole model that is based on an analogue to hydrogen atoms. A self-regular Schwarzschild-AdS black hole is investigated, where the mass density of the extreme black hole is given by the probability density of the ground state of hydrogen atoms and the mass densities of non-extreme black holes are given by the probability densities of excited states with no angular momenta. Such an analogue is inclined to adopt quantization of black hole horizons. In this way, the total mass of black holes is quantized. Furthermore, the quantum hoop conjecture and the Correspondence Principle are discussed.