A quantum bound on the compactness

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.

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

References in corpus (7)

• Dynamics of Unitarization by Classicalization
• Matter and gravitons in the gravitational collapse
• Black holes as self-sustained quantum states, and Hawking radiation
• Thermal corpuscular black holes
• Exteriors to bouncing collapse models
• Effective metric outside bootstrapped Newtonian sources
• Orbits in a stochastic Schwarzschild geometry

Cited by in corpus (4)

• Quasi-normal modes and microscopic description of 2D black holes
• Configurational entropy of black hole quantum cores
• Quasi-normal modes and Microscopic Structure of the Schwarzschild Black Hole
• Binary mergers in bootstrapped Newtonian gravity: mass gap and black hole area law