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We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Abdel Nasser Tawfik , Abdel Magied Diab

Various approaches to Quantum Gravity (such as String Theory and Doubly Special Relativity), as well as black hole physics predict a minimum measurable length, or a maximum observable momentum, and related modifications of the Heisenberg…

High Energy Physics - Theory · Physics 2009-07-29 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

Motivated by current searches for signals of Lorentz symmetry violation in nature and recent investigations on generalized uncertainty principle (GUP) models in anisotropic space, in this paper we identify GUP models satisfying two…

Quantum Physics · Physics 2023-05-22 André H. Gomes

We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello

In this paper, we invoke a generalized uncertainty principle (GUP) in the symmetry-reduced cosmological Hamiltonian for a universe driven by a quintessence scalar field with potential. Our study focuses on semi-classical regime. In…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

In this study, we explore the relation between generalised entropies and the extended uncertainty principle (EUP) models. Starting from the higher-order extended uncertainty principle (HOEUP), we obtain the modified entropy-area relation.…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Özgür Sevinç , Özgür Ökcü , Ekrem Aydiner

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations. While existing models introduce modified phase space volumes for the canonical degrees of freedom, we introduce new…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Matthew J. Lake

We give a pedagogical introduction to the generalized uncertainty principle (GUP), by showing how it naturally emerges when the action of gravity is taken into account in measurement processes. We review some physical predictions of the…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Fabio Scardigli

Based on the doubly special relativity we find a new type of generalized uncertainty principle (GUP) where the coordinate remain unaltered at the high energy while the momentum is deformed at the high energy so that it may be bounded from…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Won Sang Chung , Hassan Hassanabadi

An Extended Uncertainty Principle inspired Schwarzschild metric that allows for large scale modifications to gravitation is presented. At a new fundamental length scale $\Ls$, the usual black hole characteristics (horizon radius, ISCO, and…

General Relativity and Quantum Cosmology · Physics 2018-12-24 J. R. Mureika

In this paper, we calculate the modification to the thermodynamics of a Schwarzschild black hole in higher dimensions because of Generalized Uncertainty Principle (GUP). We use the fact that the leading order corrections to the entropy of a…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Sunandan Gangopadhyay , Abhijit Dutta , Mir Faizal

In a recent paper, we presented a nonperturbative higher order generalized uncertainty principle (GUP) that is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and…

High Energy Physics - Theory · Physics 2012-11-26 Pouria Pedram

Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this…

General Relativity and Quantum Cosmology · Physics 2011-09-21 Barun Majumder

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that remains coordinate-independent and retains as much of the…

Quantum Physics · Physics 2023-07-12 Michael Bishop , Joey Contreras , Peter Martin , Piero Nicolini , Douglas Singleton

The prediction of a minimal length scale by various quantum gravity candidates (such as string/M theory, Doubly Special Relativity, Loop Quantum Gravity and others) have suggested modification of Heisenberg Uncertainty Principle (HUP),…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics.…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jaume Giné , Giuseppe Gaetano Luciano

In a previous study, it was shown that the Generalized Uncertainty Principle (GUP) can be derived from non-extensive entropies, particularly those depending only on the probability, denoted as $S_\pm$ in the literature. This finding reveals…

High Energy Physics - Theory · Physics 2025-02-26 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui Carpio

In this work, we deepen the correspondence between Generalized Uncertainty Principles (GUPs) and quantum dynamics on curved momentum space. In particular, we investigate the linear and quadratic GUP. Similarly to earlier work, the resulting…

General Relativity and Quantum Cosmology · Physics 2022-07-08 Fabian Wagner

We investigate the phenomenological implications of quantum gravity on rotating black holes within the framework of the Generalized Extended Uncertainty Principle (GEUP), which incorporates both minimal length (ultraviolet) and large-scale…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Nikko John Leo S. Lobos