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In this letter, we introduce two new forms of uncertainty relations by extending the usual Heisenberg algebra with higher terms. Within these scenarios, at first, we study on the Unruh temperature. We find that the Unruh temperature…

General Relativity and Quantum Cosmology · Physics 2021-04-13 B. Hamil , B. C. Lütfüoğlu

Recent studies [J. Steinhauer, Nature Phys., $\textbf{10}$, 864 (2014); Phys. Rev. D $\textbf{92}$, 024043 (2015)] provide compelling evidences that Hawking radiation could be experimentally proven by using an analogue black hole. In this…

General Relativity and Quantum Cosmology · Physics 2016-09-20 I. Sakalli , A. Ovgun , K. Jusufi

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 study two different ways to analyze the Hawking evaporation of a Schwarzschild-de Sitter black hole. The first one uses the standard approach of surface gravity evaluated at the possible horizons. The second method derives its results…

General Relativity and Quantum Cosmology · Physics 2009-11-18 I. Arraut , D. Batic , M. Nowakowski

In this paper we have implemented quantum corrections for the Schwarzschild black hole metric using the generalized uncertainty principle (GUP) in order to investigate the scattering process. We mainly compute, at the low energy limit, the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos

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

We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Mariusz P. Dabrowski , Fabian Wagner

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

Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Ahmed Farag Ali , A. Tawfik

It has recently been shown that the thermodynamics of a FRW universe can be fully derived using the generalized uncertainty principle (GUP) in extra dimensions as a primary input. There is a phenomenologically close relation between the GUP…

General Relativity and Quantum Cosmology · Physics 2011-02-28 A. S. Sefiedgar , K. Nozari , H. R. Sepangi

In this paper, the modified entropic force law is studied by using a new kind of generalized uncertainty principle which contains a minimal length, a minimal momentum and a maximal momentum. Firstly, the quantum corrections to the…

High Energy Physics - Theory · Physics 2016-08-05 Zhong-Wen Feng , Shu-Zheng Yang , Hui-Ling Li , Xiao-Tao Zu

The Planck length and Planck energy should be taken as invariant scales are in agreement with various theories of quantum gravity. In this scenario, the original general relativity can be changed to the so-called gravity's rainbow which…

General Physics · Physics 2016-10-26 Zhong-Wen Feng , Shu-Zheng Yang , Hui-Ling Li , Xiao-Tao Zu

In a previous study, it was shown that the Generalized Uncertainty Principle (GUP) can be derived from non-extensive entropies, particularly those depending only on the probability, denoted as $S_\pm$ in the literature. This finding reveals…

High Energy Physics - Theory · Physics 2025-02-26 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui Carpio

We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation of the 2+1 dimensional Martinez-Zanelli black hole by using the Hamilton-Jacobi method. In this connection, we discuss the tunnelling probabilities…

General Relativity and Quantum Cosmology · Physics 2017-10-09 Ganim Gecim , Yusuf Sucu

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

We use the extended uncertainty principle (EUP) in order to obtain the R\'{e}nyi entropy for a black hole (BH). The result implies that the non-extensivity parameter, appeared in the R\'{e}nyi entropy formalism, may be evaluated from the…

General Relativity and Quantum Cosmology · Physics 2019-11-12 H. Moradpour , C. Corda , A. H. Ziaie , S. Ghaffari

In this study, the effects of the generalized uncertainty principle on the theory of gravity are analyzed. Inspired by Verlinde's entropic gravity approach and using the modified Unruh temperature, the generalized Einstein field equations…

High Energy Physics - Theory · Physics 2019-08-02 Salih Kibaroğlu

The generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position giving room for a minimal length, as predicted by candidates theories of quantum gravity. Inspired by GUP, Planck's distribution is…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Pasquale Bosso , Juan Manuel López Vega

In this paper, we will generalize the Gauss-Bonnet gravity to an energy dependent Gauss-Bonnet theory of gravity, which we shall call as the Gauss-Bonnet gravity's rainbow. We will also couple this theory to a Maxwell's theory. We will…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Seyed Hossein Hendi , Mir Faizal

Recently, Elias C. Vagenas et al and Yongwan Gim et al studied the validity of the no-cloning theorem in the context of generalized uncertainty principle (GUP), but they came to conflicting conclusions. With this in mind, we investigate the…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Shurui Wu , Bing-Qian Wang , Z. W. Long , Hao Chen
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