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Based on the micro-black hole \emph{gedanken} experiment as well as on general considerations of quantum mechanics and gravity the generalized uncertainty principle (GUP) is analyzed by using the running Newton constant. The result is used…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Michael Maziashvili

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

The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (e.g., Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In…

High Energy Physics - Theory · Physics 2022-06-28 Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

The non-relativistic quantum mechanics with the generalized uncertainty principle (GUP) is examined when the potential is one-dimensional $\delta-$function. It is shown that unlike usual quantum mechanics, the Schr\"{o}dinger and Feynman's…

Quantum Physics · Physics 2020-03-18 DaeKil Park , Eylee Jung

Based on string theory, loop quantum gravity, black hole physics, and other theories of quantum gravity, physicists have proposed generalized uncertainty principle (GUP) modifications. In this work, within the framework of GUP-gravity…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Meirong Tang

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic…

General Relativity and Quantum Cosmology · Physics 2021-10-05 S. Hassanabadi , J. Kříž , W. S. Chung , B. C. Lütfüoğlu , E. Maghsoodi , H. Hassanabadi

We investigate the extremality relations by examining perturbative corrections to both the entropy of Schwarzschild-de Sitter black holes and their extremality bounds under the generalized uncertainty principle (GUP) and the extended…

High Energy Physics - Theory · Physics 2025-09-09 Hongbo Cheng , Yinan Zhao

In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

We revisited the scenario of a resonant enhancement in the oscillation probability due to an interaction potential between neutrinos and dark matter with the novelty of the inclusion of the generalized uncertainty principle. It is shown…

High Energy Physics - Phenomenology · Physics 2025-10-30 J. Barranco , Emiliano Durán

The recent background imaging of cosmic extragalactic polarization (BICEP2) observations are believed as an evidence for the cosmic inflation. BICEP2 provided a first direct evidence for the inflation, determined its energy scale and…

General Relativity and Quantum Cosmology · Physics 2015-01-19 Abdel Nasser Tawfik , Abdel Magied Diab

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

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

In a previous paper [Blado G, Owens C, and Meyers V 2014 Quantum Wells and the Generalized Uncertainty Principle Eur. J. Phys. 35 065011], we showed that quantum gravity effects can be discussed with only a background in non-relativistic…

Quantum Physics · Physics 2016-01-13 Gardo Blado , Trevor Prescott , James Jennings , Joshuah Ceyanes , Rafael Sepulveda

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the…

High Energy Physics - Theory · Physics 2012-01-16 Pouria Pedram

There have been proposals that primordial black hole remnants (BHRs) are the dark matter, but the idea is somewhat vague. Recently we argued that the generalized uncertainty principle (GUP) may prevent black holes from evaporating…

Astrophysics · Physics 2017-08-23 Pisin Chen

In this paper we consider generalized uncertainty principle (GUP) effects in higher dimensional black hole spacetimes via a nonlocal gravity approach. We study three possible modifications of momentum space measure emerging from GUP,…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Marco Knipfer , Sven Köppel , Jonas Mureika , Piero Nicolini

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

It is often argued that quantum gravitational correction to the Heisenberg's uncertainty principle leads to, among other things, a black hole remnant with finite temperature. However, such a generalized uncertainty principle also seemingly…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Yen Chin Ong

In this manuscript, we investigate the extended uncertainty principle (EUP) effects on the Van der Waals (VdW) black holes whose thermal quantities mimic the VdW liquid. We find that the considered formalism imposes an upper bound on the…

General Relativity and Quantum Cosmology · Physics 2023-12-20 R. Oubagha , B. Hamil , B. C. Lütfüoğlu , M. Merad

In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering a modified generalized uncertainty principle with two parameters. In the context of modified generalized…

High Energy Physics - Theory · Physics 2007-05-23 Yumi Ko , Sunggeun Lee , Soonkeon Nam