Bounded compactness from G(E)UP
General Relativity and Quantum Cosmology
2025-09-10 v2
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.
Keywords
Cite
@article{arxiv.2507.14703,
title = {Bounded compactness from G(E)UP},
author = {Roberto Casadio and Ilim Irfan Çimdiker and Octavian Micu and Jonas Mureika},
journal= {arXiv preprint arXiv:2507.14703},
year = {2025}
}
Comments
10 pages, 4 figures