Bounded compactness from G(E)UP

TL;DR

This paper investigates how various Generalised Uncertainty Principles (GUP) impose bounds on the maximum compactness of self-gravitating systems, linking quantum gravity effects to astrophysical object limits.

Contribution

It analyzes the impact of different GUPs on astrophysical compactness bounds and derives constraints based on experimental data and black hole existence.

Findings

Astrophysical compactness is bounded above by the inverse of the GUP parameter.

Black hole existence provides stronger bounds on GUP parameters.

GUP parameters are naturally of order one.

Abstract

We analyse how different Generalised Uncertainty Principles could place bounds on the compactness of self-gravitating systems. By considering existing experimental bounds on the relevant parameters, we conclude that the compactness of large astrophysical objects is bounded above by the inverse of the GUP parameter, which would naturally be of order one. Conversely, the existence of black holes imposes stronger bounds on those parameters.