Phenomenological loop quantum geometry of the Schwarzschild black hole

TL;DR

This paper explores loop quantum geometry effects inside Schwarzschild black holes, revealing quantum bounces that resolve singularities and produce a fractal spacetime structure with black hole descendants.

Contribution

It introduces two improved quantization schemes demonstrating singularity resolution and a fractal black hole evolution in loop quantum gravity.

Findings

Classical singularity replaced by quantum bounce.

Black holes produce smaller black hole descendants.

Extended spacetime exhibits fractal structure.

Abstract

The interior of a Schwarzschild black hole is investigated at the level of phenomenological dynamics with the discreteness corrections of loop quantum geometry implemented in two different improved quantization schemes. In one scheme, the classical black hole singularity is resolved by the quantum bounce, which bridges the black hole interior with a white hole interior. In the other scheme, the classical singularity is resolved and the event horizon is also diffused by the quantum bounce. Jumping over the quantum bounce, the black hole gives birth to a baby black hole with a much smaller mass. This lineage continues as each classical black hole brings forth its own descendant in the consecutive classical cycle, giving the whole extended spacetime fractal structure, until the solution eventually descends into deep Planck regime, signaling a breakdown of the semiclassical description. The issues of scaling symmetry and no-hair theorem are also discussed.