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Very recently authors in [5] proposed a new Generalized Uncertainty Principle (or GUP) with a linear term in Plank length. In this Letter the effect of this GUP is studied in quantum cosmological models with dust and cosmic string as the…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Barun Majumder

We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi…

High Energy Physics - Theory · Physics 2009-01-06 Rabin Banerjee , Bibhas Ranjan Majhi , Debraj Roy

We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Luca Buoninfante , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

We apply the Generalized Uncertainty Principle (GUP) to the problem of maximum entropy and evaporation/absorption of energy of black holes near the Planck scale. We find within this general approach corrections to the maximum entropy, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. S. Custodio , J. E. Horvath

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

In several approaches to the quantum-gravity problem evidence has emerged of the validity of a "GUP" (a Generalized position-momentum Uncertainty Principle) and/or a "MDR" (a modification of the energy-momentum dispersion relation), but…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Giovanni Amelino-Camelia , Michele Arzano , Yi Ling , Gianluca Mandanici

We analyze the Generalized Uncertainty Principle (GUP) impact onto the nonextensive black hole thermodynamics by using R\'enyi entropy. We show that when introducing GUP effects, both R\'enyi entropy and temperature associated to black…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar

The Generalized Uncertainty Principle arises from the Heisenberg Uncertainty Principle when gravity is taken into account, so the leading order correction to the standard formula is expected to be proportional to the gravitational constant…

General Relativity and Quantum Cosmology · Physics 2009-10-06 Cosimo Bambi

We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv)…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Michael Good , Benito A. Juárez-Aubry , Dimitris Moustos , Maksat Temirkhan

A generalization of the thermodynamic uncertainty relations is proposed. It is done by introducing of an additional term proportional to the interior energy into the standard thermodynamic uncertainty relation that leads to existence of the…

High Energy Physics - Theory · Physics 2009-11-10 A. E. Shalyt-Margolin , A. Ya. Tregubovich

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 Hawking radiation of BTZ black hole is investigated based on generalized uncertainty principle effect by using Hamilton-Jacobi method and Dirac equation. The tunneling probability and the Hawking temperature of the spin-1/2 particles of…

General Physics · Physics 2020-04-15 T. Ibungochouba Singh , Y. Kenedy Meitei , I. Ablu Meitei

It is shown that the Unruh effect, i.e. the increase in temperature indicated by a uniformly accelerated thermometer in an inertial vacuum state of a quantum field, cannot be interpreted as the result of an exchange of heat with a…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Detlev Buchholz , Rainer Verch

In this study, we investigate the effect of the generalized uncertainty principle on the $\Lambda$CDM cosmological model. Using quantum corrected Unruh effect and Verlinde's entropic gravity idea, we find Planck-scale corrected Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Salih Kibaroğlu

In this paper, we will propose the most general form of the deformation of Heisenberg algebra motivated by the generalized uncertainty principle. This deformation of the Heisenberg algebra will deform all quantum mechanical systems. The…

High Energy Physics - Theory · Physics 2016-11-02 Syed Masood , Mir Faizal , Zaid Zaz , Ahmed Farag Ali , Jamil Raza , Mushtaq B Shah

Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying…

Quantum Physics · Physics 2026-02-19 Michael Bishop , Daniel Hooker , Doug Singleton

The Unruh effect, thereby an ideally accelerated quantum detector is predicted to absorb thermalized virtual photons and re-emit real photons, is significantly extended for laboratory accessible configurations. Using modern influence…

General Relativity and Quantum Cosmology · Physics 2022-12-27 Charles H. -T. Wang , Gianluca Gregori , Robert Bingham , Yakubu Adamu , Bethel N. Eneh , Maé C. Rodriguez , Sarah-Jane Twigg

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

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

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