paper

Uncertainty Principles and Non-local Black Holes

arXiv:2506.21048 · doi:10.1142/S0219887826500854

Abstract

We discuss the Generalized Uncertainty Principle and the Extended Uncertainty Principle in the context of black hole solutions coming from non-local theories of gravity, focusing, specifically, on Infinite Derivative Gravity. We argue that these modifications of the Heisenberg Uncertainty Principle are effective descriptions arising from the non-local features of gravitational interaction. By comparing the predictions of both the modified uncertainty principles and non-local gravity, we find theoretical constraints on otherwise free parameters as well as universal laws for black hole physics beyond General Relativity.

6 pages, accepted for publication in International Journal of Geometric Methods in Modern Physics

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