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We show that implementing a generalized uncertainty principle (GUP) with both minimal length and maximal momentum directly on the reduced phase space of the Schwarzschild black hole (BH) leads to a finite and discrete mass spectrum, a…

General Relativity and Quantum Cosmology · Physics 2026-04-13 S. Jalalzadeh , H. Moradpour

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

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

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

This paper proposes a new high-order generalized uncertainty principle, which can modify the momentum operator and position operator simultaneously. Moreover, the new form of GUP is consistent with the viewpoint of the existence of the…

Quantum Physics · Physics 2020-08-06 Zi-Long Zhao , Qi-Kang Ran , Hassan Hassanabadi , Yi Yang , Hao Chen , Zheng-Wen Longa

Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov

Theories of Quantum Gravity as well as string theory suggest the existence of a minimal measurable length and the related Generalized Uncertainty Principle (GUP). The universality of Quantum Gravity implies that the GUP influences every…

High Energy Physics - Phenomenology · Physics 2024-06-04 M. M. Ettefaghi

Various theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). In some recent papers, we showed that the GUP gives rise to…

High Energy Physics - Theory · Physics 2014-11-21 Saurya Das , Elias C. Vagenas , Ahmed Farag Ali

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

When minimal length uncertainty emerging from generalized uncertainty principle (GUP) is thoughtfully implemented, it is of great interest to consider its impacts on {\it "gravitational} Einstein field equations (gEFE) and to try to find…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Abdel Nasser Tawfik , Abdel Magied Diab , Sameh Shenawy , Eiman Abou El Dahab

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 this letter, we show that the dimensionless parameter in the generalized uncertainty principle (GUP) can be constrained by the gravitational wave event GW150914, which was discovered by the LIGO Scientific and Virgo Collaborations.…

High Energy Physics - Phenomenology · Physics 2017-03-06 Zhong-Wen Feng , Shu-Zheng Yang , Hui-Ling Li , Xiao-Tao Zu

Many theories that attempt to formulate a quantum description of gravity suggest the existence of a fundamental minimum length scale. A popular method for incorporating this minimum length is through a modification of the Heisenberg…

General Relativity and Quantum Cosmology · Physics 2025-06-18 William M. Campbell , Michael E. Tobar , Serge Galliou , Maxim Goryachev

We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bambi , F. R. Urban

The impact of the Generalized Uncertainty Principle (GUP) on Hawking particle emission in a rotating linear dilaton black hole (RLDBH) spacetime is examined in this thesis. The concerned study presents a thermal emission model for black…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Erdem Sucu

Studies in string theory and quantum gravity lead to the Generalized Uncertainty Principle (GUP) and suggest the existence of a fundamental minimal length which, as was established, can be obtained within the deformed Heisenberg algebra.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 V. M. Tkachuk

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

In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on the spectrum of a particle that is bouncing vertically and elastically on a smooth reflecting floor in the Earth's gravitational field (a quantum bouncer).…

High Energy Physics - Theory · Physics 2011-03-23 Kourosh Nozari , Pouria Pedram

A maximun acceleration analysis by Pati dating back to 1992 is here improved by replacing the traditional Heisenberg Uncertainty Principle (HUP) with the Generalized Uncertainty Principle (GUP), which predicts the existence of a minimum…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Christian Corda , Carlo Cafaro , Newshaw Bahreyni

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

Statistical Mechanics · Physics 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram