English

A quantum bound on the compactness

General Relativity and Quantum Cosmology 2022-01-26 v4 High Energy Physics - Theory

Abstract

We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black holes are macroscopic extended objects. We also comment briefly on the relevance of this result for the ultraviolet self-completion of gravity and the corpuscular picture of black holes.

Keywords

Cite

@article{arxiv.2103.14582,
  title  = {A quantum bound on the compactness},
  author = {Roberto Casadio},
  journal= {arXiv preprint arXiv:2103.14582},
  year   = {2022}
}

Comments

8 pages, LaTeX, one figure, references and comments added

R2 v1 2026-06-24T00:35:39.838Z