A Structure Model for Black Holes: Atomic-like Structure, Quantization and the Minimum Schwarzschild Radius

TL;DR

This paper proposes an atomic-like quantum structure model for black holes using mean field gravity, revealing a minimum black hole size with a quantized Schwarzschild radius close to the Planck length.

Contribution

It introduces a novel atomic-like quantum model for black holes, incorporating a charged singularity and field fluctuations, and identifies a minimum black hole size.

Findings

Identifies a minimum Schwarzschild radius of about 1.1287 times the Planck length.

Models black holes with an atomic structure similar to hydrogen.

Quantizes black hole properties through the proposed framework.

Abstract

A structure model for black holes is proposed by mean field approximation of gravity. The model, which consists of a charged singularity at the center and quantum fluctuation of fields around the singularity, is similar to the atomic structure. The model naturally quantizes the black hole. Especially we find the minimum black hole, whose structure is similar to the hydrogen atom and whose Schwarzschild radius becomes about 1.1287 of the Planck length.