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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

In this letter, the entropy bound for local quantum field theories (LQFT) is studies in a class of models of the generalized uncertainty principle(GUP) which predicts a minimal length as a reflection of the quantum gravity effects. Both…

High Energy Physics - Theory · Physics 2015-06-04 Weijian Wang , Da Huang

Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schr\"odinger equation resulting from a generalized…

Quantum Physics · Physics 2024-03-29 M. Baradaran , L. M. Nieto , S. Zarrinkamar

We examine quantum gravity effects on entanglement by a straightforward application of the generalized uncertainty principle (GUP) to continuous-variable systems. In particular, we study the following cases: the modified uncertainty…

Quantum Physics · Physics 2018-12-26 Gardo Blado , Francisco Herrera , Joshuah Erwin

There are several theoretical indications that the quantum gravity approaches may have predictions for a minimal measurable length, and a maximal observable momentum and throughout a generalization for Heisenberg uncertainty principle. The…

General Physics · Physics 2015-12-22 Abdel Nasser Tawfik , H. Magdy , A. Farag Ali

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Jonas Mureika , Elias C. Vagenas

The existence of a fundamental length scale in Nature is a common prediction of distinct quantum gravity models. Discovery of such would profoundly change current knowledge of quantum phenomena and modifications to the Heisenberg…

Quantum Physics · Physics 2023-02-03 Andre H. Gomes

We consider a modification of the Brans-Dicke gravitational Action Integral inspired by the existence of a minimum length uncertainty for the scalar field. In particular, the kinetic part of the Brans-Dicke scalar field is modified such…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Andronikos Paliathanasis , Genly Leon

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Vasil Todorinov , Saurya Das , Pasquale Bosso

The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General…

General Relativity and Quantum Cosmology · Physics 2020-06-17 R. Casadio , F. Scardigli

A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of the weak equivalence principle for macroscopic bodies,…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Kh. P. Gnatenko , V. M. Tkachuk

We examine quantum gravity effects by applying the generalized uncertainty principle (GUP) to entropic uncertainty relation conditions on quantum entanglement. In particular, we study the GUP corrections to the Shannon entropic uncertainty…

Quantum Physics · Physics 2023-10-17 Otto Gadea , Gardo Blado

The classical uncertainty principle inequalities were imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle was reformulated in terms of proper space-time length element,…

General Physics · Physics 2021-09-27 David Escors , Grazyna Kochan

Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified…

General Physics · Physics 2015-11-04 Abdel Nasser Tawfik , Abdel Magied Diab

We derive generalised uncertainty relations (GURs) for angular momentum and spin in the smeared-space model of quantum geometry. The model implements a minimum length and a minimum linear momentum, and recovers both the generalised…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Matthew J. Lake , Marek Miller , Shi-Dong Liang

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

Diverse theories of Quantum Gravity expect modification of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle.It was shown by some authors that the Generalized uncertainty principle…

High Energy Physics - Theory · Physics 2013-12-30 Ahmad Adel Abutaleb

The generalized uncertainty principle (GUP) corrected modified relativistic particle model has been derived in curved space-time. From this modified model, the equation of motion (EM) has been constructed relativistically in terms of the…

High Energy Physics - Theory · Physics 2014-07-16 Souvik Pramanik

In this work we study the effects of the generalized uncertainty principle (GUP) in cosmology. We start with the Friedmann-Robertson-Walker (FRW) model endowed with a scalar field. After introducing the GUP modification to the model, we…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Oscar López-Aguayo , J. C. López-Domínguez , M. Sabido

In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations proposed in the quantum gravity literature, can be derived…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Matthew J. Lake , Marek Miller , Ray Ganardi , Tomasz Paterek