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We test the validity of the Generalized Heisenberg's Uncertainty principle in the presence of strong gravitational fields nearby rotating black holes; Heisenberg's principle is supposed to require additional correction terms when gravity is…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Fabrizio Tamburini , Fabiano Feleppa , Bo Thidé

We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers. Entering the realm of small position uncertainties, we derive a general…

General Relativity and Quantum Cosmology · Physics 2020-06-11 Mariusz P. Dabrowski , Fabian Wagner

We investigate the statistical entropy of black holes within the framework of the generalized uncertainty principle (GUP) by employing effective metrics that incorporate leading-order and all-orders quantum gravitational corrections. We…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

In this work we have explored the effects of higher order generalized uncertainty principle (GUP), inspired from the quantum gravity COW experiment and the Einstein-Bohr's photon box thought experiment, on the properties of a black hole.…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Bilel Hamil , Houcine Aounallah , Prabir Rudra

We investigate the impact of quantum gravity on accretion onto a modified Schwarzschild black hole within the context of the generalized uncertainty principle (GUP). The minimal measurable length connected to GUP modifies the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Anisur Rahaman

The Friedmann-Robertson-Walker (FRW) universe and Bianchi I,II universes are investigated in the framework of the generalized uncertainty principle (GUP) with a linear and a quadratic term in Planck length and momentum, which predicts…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Ahmed Farag Ali , Barun Majumder

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

In this short letter we calculate separately the generalized uncertainty principle (GUP) and self gravitational corrections to the Newton's gravitational formula. We show that for a complete description of the GUP and self-gravity effects,…

General Physics · Physics 2012-05-21 M. R. Setare , D. Momeni , R. Myrzakulov

Generalized uncertainty principles are effective changes to the Heisenberg uncertainty principle that emerge in several quantum gravity models. In the present letter, we study the consequences that two classes of these modifications yield…

High Energy Physics - Phenomenology · Physics 2025-01-23 Ioannis D. Gialamas , Timo J. Kärkkäinen , Luca Marzola

In this work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent symplectic structure. This provides a solid framework for the…

Mathematical Physics · Physics 2025-04-02 Matteo Bruno , Sebastiano Segreto , Giovanni Montani

We find exact energy eigenvalues and eigenfunctions of the quantum bouncer in the presence of the minimal length uncertainty and the maximal momentum. This form of Generalized (Gravitational) Uncertainty Principle (GUP) agrees with various…

High Energy Physics - Theory · Physics 2014-05-19 Pouria Pedram

Various gedanken experiments of quantum gravity phenomenology in search of a complete theory of gravity near the Planck scale indicate a modification of the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP).…

Quantum Physics · Physics 2021-07-14 Sukanta Bhattacharyya , Sunandan Gangopadhyay

The Generalized Uncertainty Principle (GUP) extends the Heisenberg Uncertainty Principle (HUP) by suggesting a minimum observable scale that includes the effects of quantum gravity, which is supposed to potentially result in observable…

High Energy Physics - Phenomenology · Physics 2025-11-04 Zhi Wang

Quantum fluctuations of a real massless scalar field are studied in the context of the Generalized Uncertainty Principle (GUP). The dynamical finite vacuum energy is found in spatially flat Friedmann-Robertson- Walker (FRW) spacetime which…

General Relativity and Quantum Cosmology · Physics 2015-02-26 Shahram Jalalzadeh , Mohammad Ali Gorji , Kourosh Nozari

In this paper, we investigate the effect of the Generalized Uncertainty Principle (GUP) in the Casimir wormhole spacetime recently proposed by Garattini [Eur. Phys. J. C (2019) 79: 951]. In particular, we consider three types of the GUP…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Kimet Jusufi , Phongpichit Channuie , Mubasher Jamil

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

In this manuscript, we explore the baryon asymmetry of the universe by employing a novel higher-order extended uncertainty principle (EUP) that maintains a minimum length ${\rm{\Delta }}{x_{\rm min}} =4\sqrt {\left| {\rm{\beta_0 }}…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Song-Shan Luo , Zhong-Wen Feng

Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schr\"odinger equation resulting from a generalized…

Quantum Physics · Physics 2024-03-29 M. Baradaran , L. M. Nieto , S. Zarrinkamar

In this paper we explore the effects of a Generalized Uncertainty Principle (GUP) on Schwarzschild black hole. In particular, we incorporate the effects of GUP into the Parikh-Wilczek tunneling process for Hawking radiation. To this effect,…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Maxim Yu Khlopov

We investigate the impact of the generalized uncertainty principle proposed by some approaches to quantum gravity such as string theory and doubly special relativity on the cosmology. Using generalized Poisson brackets, we obtain the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Mahdi Rashki , Majid Fathi , Behrang Mostaghel , Sahram Jalalzadeh
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