Uncertainty Principles and Non-local Black Holes

2025/06/26 by Salvatore Capozzıello, Salvatore Capozziello, Giuseppe Meluccio +5 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · Social Sciences · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical and Theoretical Analysis #Multidisciplinary Warburg-centric Studies #Numerical Methods and Algorithms

paper · pdf · doi:10.48550/arxiv.2506.21048

openalex publication_date 2025/06/26 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

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.

Citations

• Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
• Extended uncertainty principle inspired black hole in a Gödel Universe
• The Weinberg no-go theorem for cosmological constant and nonlocal gravity
• The Weinberg no-go theorem for cosmological constant and nonlocal gravity
• Can nonlocal gravity really explain dark energy?
• Reconstructing the distortion function of non-local cosmology: a model-independent approach
• Ghost-free non-local F(R) Gravity Cosmology
• Extended Uncertainty Principle black holes
• Generalized uncertainty principle and extra dimensions
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• The Black Hole Uncertainty Principle Correspondence
• Nonlocal and generalized uncertainty principle black holes
• Generalized Uncertainty Principle and Self-dual Black Holes
• Screening of cosmological constant in non-local gravity
• Black holes in an ultraviolet complete quantum gravity
• Influence of generalized and extended uncertainty principle on thermodynamics of FRW universe
• Nonlocal action for long-distance modifications of gravity theory
• Non-Local Modification of Gravity and the Cosmological Constant Problem
• The Generalized Uncertainty Principle and Black Hole Remnants
• Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment
• Hilbert space representation of the minimal length uncertainty relation
• The algebraic structure of the generalized uncertainty principle
• Quantum groups, gravity, and the generalized uncertainty principle
• A generalized uncertainty principle in quantum gravity
• Can spacetime be probed below the string size?
• String theory beyond the Planck scale

Cited by

• Non-local Metric-Affine Gravity
• Bounded compactness from G(E)UP
• Combining the Generalized and Extended Uncertainty Principles

Related

• Generalized uncertainty principle and extra dimensions
• Nonlocal and generalized uncertainty principle black holes
• Generalized Uncertainty Principle and Self-dual Black Holes
• The Black Hole Uncertainty Principle Correspondence
• Generalized uncertainty principles, effective Newton constant and regular black holes