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An Extended Uncertainty Principle inspired Schwarzschild metric that allows for large scale modifications to gravitation is presented. At a new fundamental length scale $\Ls$, the usual black hole characteristics (horizon radius, ISCO, and…

General Relativity and Quantum Cosmology · Physics 2018-12-24 J. R. Mureika

In this paper, we investigate the phase transitions of Reissner-Nordstr\"{o}m (RN) and Schwarzschild black holes for the extended uncertainty principle (EUP) framework. Considering temperature $T$, charge $Q$ and electric potential $\Phi $…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Özgür Ökcü , Ekrem Aydiner

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 paper, we study the generalized uncertainty principle (GUP) effects for the van der Waals (vdW) black holes. In order to obtain the GUP-corrected solution, we consider GUP-corrected black hole temperature. We also study the…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Özgür Ökcü , Ekrem Aydiner

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

In this paper, we have used the extended generalized uncertainty principle to investigate the thermodynamics of the Bardeen Black Hole with quintessence matter on the EGUP framework. We started with a brief perusal of the Extended…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Shurui Wu , Bing-Qian Wang , Hao Chen , Zheng-Wen Long

We explore analytically the implications of a curvature-modified extended uncertainty principle (EUP) derived in a rotating G\"odel spacetime and apply it to the construction of a semiclassical black hole model. Adapting techniques from…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Reggie C. Pantig

In this paper, we discuss the possible effects of dark matter on a Schwarzschild black hole with the correction of extended uncertainty principle (EUP), such as the parameter $\alpha$ and the large fundamental length scale $L_*$. In…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Reggie C. Pantig , Paul K. Yu , Emmanuel T. Rodulfo , Ali Övgün

Motivated by the recent work about the Extended Uncertainty Principle (EUP) black holes \cite{Mureika:2018gxl}, we present in this study its extension called the Generalized Extended Uncertainty Principle (GEUP) black holes. In particular,…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Nikko John Leo S. Lobos , Reggie C. Pantig

In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Ba\~{n}ados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de…

General Relativity and Quantum Cosmology · Physics 2023-01-02 B. Hamil , B. C. Lütfüoğlu , L. Dahbi

In this paper, we have used the extended generalized uncertainty principle to investigate the Unruh temperature and thermodynamic properties of a black hole. We started with a brief perusal of the Heisenberg uncertainty principle and…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Hassan Hassanabadi , Nasrin Farahani , Won Sang Chung , Bekir Can Lütfüoğlu

The Black Hole Uncertainty Principle correspondence proposes a connection between the Uncertainty Principle on microscopic scales and black holes on macroscopic scales. This is manifested in a unified expression for the Compton wavelength…

General Relativity and Quantum Cosmology · Physics 2014-02-07 B. J. Carr

We consider the evolution of black hole involving an $f(R)$ global monopole based on the Extended Uncertainty Principle (EUP). The black hole evolutions refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation or…

High Energy Physics - Theory · Physics 2022-06-02 Hongbo Cheng , Yue Zhong

Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP). Although GUP considers gravitational…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Sara Azizi , Sareh Eslamzadeh , Javad T. Firouzjaee , Kourosh Nozari

The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Bernard Carr , Leonardo Modesto , Isabeau Prémont-Schwarz

The Generalized Uncertainty Principle (GUP) and Extended Uncertainty Principle (EUP) are modifications to the Heisenberg Uncertainly Principle (HUP), expected to apply as the energy approaches the Planck scale. Here we consider a possible…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Bernard Carr , Jonas Mureika

We explore the impact of the Generalized Uncertainty Principle (GUP) on the thermodynamics of five-dimensional Einstein-Gauss-Bonnet (EGB) black holes. A modified mass-temperature relation is derived under the assumption of local…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Sasmita Kumari Pradhan , Jamima Gee Varghese , C. Fairoos

An explicit correspondence is established between the Extended Uncertainty Principle (EUP) and the metric function by directly relating the radiation temperature function modified by EUP to the modified spacetime metric. Utilising this…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Hai-Long Zhen , Jian-Hua Shi , Huai-Fan Li , Yu-Bo Ma

The effect of the generalized uncertainty principle (GUP) on nonextensive thermodynamics applied to black holes, as well as the sparsity of the radiation at different temperatures associated with each nonextensive entropy, is investigated.…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Ilim Cimidiker , Mariusz P. Dabrowski , Hussain Gohar

The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale $l_m$. In this scenario, black holes must have a radius larger than $l_m$. They are hotter and evaporate faster than in standard Hawking…

High Energy Physics - Phenomenology · Physics 2017-06-28 Marco Cavaglia , Benjamin Harms , Shaoqi Hou
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