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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 present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact…

High Energy Physics - Theory · Physics 2021-07-07 Luciano Petruzziello

Quantum gravity has been baffling the theoretical physicist for decades now: both for its mathematical obscurity and phenomenological testing. Nevertheless, the new era of precision cosmology presents a promising avenue to test the effects…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

A possible discrepancy has been found between the results of a neutron interferometry experiment and Quantum Mechanics. This experiment suggests that the weak equivalence principle is violated at small length scales, which quantum mechanics…

High Energy Physics - Theory · Physics 2011-03-02 Ahmed Farag Ali

This work studies the impact of a new higher-order generalized uncertainty principle (GUP) on the stochastic gravitational wave background (SGWB) associated with a QCD-scale first-order phase transition. Assuming a strongly first-order…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Zhong-Wen Feng , Long-Xiang Li , Shi-Yu Li , Qing-Quan Jiang , Xia Zhou

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking…

High Energy Physics - Theory · Physics 2017-06-14 Sven Köppel , Marco Knipfer , Maximiliano Isi , Jonas Mureika , Piero Nicolini

Quantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg…

General Relativity and Quantum Cosmology · Physics 2021-09-10 Vijay Nenmeli , S. Shankaranarayanan , Vasil Todorinov , Saurya Das

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of…

High Energy Physics - Theory · Physics 2014-12-31 Mohammed M. Khalil

We study the Generalized Uncertainty Principle (GUP) modified time evolution for the width of wave-packets for a scalar potential. Free particle case is solved exactly where the wave-packet broadening is modified by a coupling between the…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Carlos Villalpando , Sujoy K. Modak

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

This paper addresses the effect of generalized uncertainty principle, emerged by a different approaches of quantum gravity within Planck scale, on thermodynamic properties of photon, non-relativistic ideal gases and degenerate fermions. A…

General Physics · Physics 2015-12-15 Mohamed Moussa

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

Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous…

General Relativity and Quantum Cosmology · Physics 2017-04-28 Dongfeng Gao , Mingsheng Zhan

Generalized uncertainty relation that carries the imprint of quantum gravity introduces a minimal length scale into the description of space-time. It effectively changes the invariant measure of the phase space through a factor $(1+\beta…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Arun Mathew , Malay K. Nandy

The effects of the generalized uncertainty principle (GUP) on the low-energy stationary states of a particle moving in a cavity with no sharp boundaries are determined by means of the perturbation expansion in the framework of…

High Energy Physics - Theory · Physics 2015-06-23 K. Sailer , Z. Peli , S. Nagy

The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric…

High Energy Physics - Theory · Physics 2023-05-08 A. S. Lemos , F. A. Brito

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the…

High Energy Physics - Theory · Physics 2015-11-19 Yan-Gang Miao , Ying-Jie Zhao , Shao-Jun Zhang

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Pasquale Bosso , Saurya Das , Robert B. Mann

The Generalized Uncertainty Principle (or GUP) affects the dynamics in Plank scale. So the known equations of physics are expected to get modified at that very high energy regime. Very recently authors in (Ali et al. 2009) proposed a new…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Barun Majumder