Uncertainty Principles and Non-local Black Holes

TL;DR

This paper explores how generalized and extended uncertainty principles relate to non-local gravity theories, particularly Infinite Derivative Gravity, providing insights into black hole physics beyond classical General Relativity.

Contribution

It establishes a connection between modified uncertainty principles and non-local gravity, deriving constraints and universal laws for black holes in these theories.

Findings

The modified uncertainty principles reflect non-local gravitational effects.

Theoretical constraints on parameters of non-local gravity models.

Universal laws for black hole behavior beyond General Relativity.

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.