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Generalized Uncertainty Principle (GUP) has brought the idea of existence of minimum measurable length in Quantum physics. Depending on this GUP, non-relativistic Hamiltonian at the Planck scale is modified. In this article, we construct…

High Energy Physics - Theory · Physics 2014-05-07 Sudipta das , Souvik Pramanik

Investigations on possible violation of Lorentz invariance have been widely pursued in the last decades, both from theoretical and experimental sides. A comprehensive framework to formulate the problem is the standard model extension (SME)…

High Energy Physics - Theory · Physics 2018-04-11 Gaetano Lambiase , Fabio Scardigli

Motivated by a recent work of Scardigli, Lambiase and Vagenas (SLV), we derive the GUP parameter, i.e. $\alpha_0$, when the GUP has a linear and quadratic term in momentum. The value of the GUP parameter is obtained by conjecturing that the…

High Energy Physics - Theory · Physics 2018-02-06 Elias C. Vagenas , Salwa M. Alsaleh , Ahmed Farag Ali

The effects of generalized uncertainty principle (GUP) on the inflationary dynamics and the thermodynamics of the early universe are studied. Using the GUP approach, the tensorial and scalar density fluctuations in the inflation era are…

General Relativity and Quantum Cosmology · Physics 2013-05-16 A. Tawfik , H. Magdy , A. Farag Ali

A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

In this paper, we study supersymmetry in quantum mechanics using the generalized uncertainty principle (GUP), or in other words, generalized supersymmetry in quantum mechanics. We construct supersymmetry in the generalized form of the…

Quantum Physics · Physics 2024-09-06 Meysam Hassandoust

We review versions of the Generalized Uncertainty Principle (GUP) obtained in string theory and in gedanken experiments carried out in Quantum Gravity. We show how a GUP can be derived from a measure gedanken experiment involving…

High Energy Physics - Theory · Physics 2011-05-05 Fabio Scardigli

In the present work the role that a generalized uncertainty principle could play in the quantization of the electromagnetic field is analyzed. It will be shown that we may speak of a Fock space, a result that implies that the concept of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Abel Camacho

Generalized uncertainty principles are able to serve as useful descriptions of some of the phenomenology of quantum gravity effects, providing an intuitive grasp on non-trivial space-time structures such as a fundamental discreteness of…

High Energy Physics - Theory · Physics 2015-06-03 Martin Bojowald , Achim Kempf

The derivation of effective quantum gravity corrections to Newton's potential is an important step in the whole effective quantum field theory approach. We hereby add new strong arguments in favor of omitting all the diagrams with internal…

High Energy Physics - Theory · Physics 2022-02-17 Tibério de Paula Netto , Leonardo Modesto , Ilya L. Shapiro

With the direct detection of gravitational waves by advanced LIGO detector, a new "window" to quantum gravity phenomenology has been opened. At present, these detectors achieve the sensitivity to detect the length variation ($\delta L$),…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Sukanta Bhattacharyya , Sunandan Gangopadhyay , Anirban Saha

The Generalized Uncertainty Principle (GUP), motivated by current alternatives of quantum gravity, produces significant modifications to the Hawking radiation and the final stage of black hole evaporation. We show that incorporation of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kourosh Nozari , S. Hamid Mehdipour

Within quantum electrodynamics we show that the Generalized Uncertainty Principle induces higher-derivative corrections that promote the topological invariant $F_{\mu\nu}\,\widetilde F^{\mu\nu}$ to the dynamical, non-topological operator…

High Energy Physics - Phenomenology · Physics 2025-07-29 Hector Gisbert , Victor Ilisie , Ezequiel Valero

The links between the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the two free parameters $\hat{\omega}$ and $\gamma$ of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG)…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Gaetano Lambiase , Reggie C. Pantig , Dhruba Jyoti Gogoi , Ali Övgün

Modifying the fundamental commutation relation of quantum mechanics to reflect the influence of gravity is an important approach to reconcile the contradiction between quantum field theory and general relativity. In the past two decades,…

Quantum Physics · Physics 2024-10-17 Baoyu Tan

We show that a deformation of the Heisenberg algebra which depends on a dimensionful parameter $\kappa$ is the algebraic structure which underlies the generalized uncertainty principle in quantum gravity. The deformed algebra and therefore…

High Energy Physics - Theory · Physics 2009-10-22 Michele Maggiore

We investigate the formation of virtual black holes in the context of generalized uncertainty principle (GUP), as a mediator for a proton decay process which is forbidden by the standard model. Then, we calculate the lower bounds of the GUP…

General Physics · Physics 2017-08-24 Salwa Alsaleh , Abeer Al-Modlej , Ahmed Farag Ali

Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that the generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations on one hand. On other…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Abdel Magied Diab , Abdel Nasser Tawfik

The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Giuseppe Gaetano Luciano

The leading long-distance quantum correction to the Newtonian potential for heavy spinless particles is computed in quantum gravity. The potential is obtained directly from the sum of all graviton exchange diagrams contributing to lowest…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Hamber , S. Liu
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