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Recently Ali et.al.(2009) proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Plank length). Inspired by this idea here we calculate the quantum corrected value of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Barun Majumder

This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of…

Quantum Physics · Physics 2024-12-18 Ying-Jie Zhao , Yan-Fang Ji , Guang-Rui Yao , Xiaojie Li , Muddasir Hanif

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Fabian Wagner

We present an exact treatment of the thermodynamics of physical systems in the framework of the generalized uncertainty principle (GUP). Our purpose is to study and compare the consequences of two GUPs that one implies a minimal length…

High Energy Physics - Theory · Physics 2016-03-11 M. Abbasiyan-Motlaq , P. Pedram

Minimal and maximal uncertainties of position measurements are widely considered possible hallmarks of low-energy quantum as well as classical gravity. While General Relativity describes interactions in terms of spatial curvature, its…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Fabian Wagner

Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised…

High Energy Physics - Phenomenology · Physics 2023-05-23 Indra Kumar Banerjee , Ujjal Kumar Dey

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 derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Gaurav Bhandari , S. D. Pathak , Harjit Ghotra , Maxim Yu Khlopov , Maxim A. Krasnov

In this proceedings, I outline recent efforts to constrain models based on generalized uncertainty principles (GUP) using limits on coefficients of the Standard-Model Extension. Two main results are reported: (1) bounds on isotropic GUP…

High Energy Physics - Phenomenology · Physics 2022-11-15 André H. Gomes

Several models of quantum gravity predict the emergence of a minimal length at Planck scale. This is commonly taken into consideration by modifying the Heisenberg Uncertainty Principle into the Generalized Uncertainty Principle. In this…

High Energy Physics - Theory · Physics 2022-01-04 Pasquale Bosso , Giuseppe Gaetano Luciano

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

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations. While existing models introduce modified phase space volumes for the canonical degrees of freedom, we introduce new…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Matthew J. Lake

We derive generalised uncertainty relations (GURs) for angular momentum and spin in the smeared-space model of quantum geometry. The model implements a minimum length and a minimum linear momentum, and recovers both the generalised…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Matthew J. Lake , Marek Miller , Shi-Dong Liang

We consider the existence and stability of the Einstein static universe under the Generalized Uncertainty Principle (GUP) effects. We show that this solution in the presence of perfect fluid with a minimal length is cyclically stable around…

General Relativity and Quantum Cosmology · Physics 2017-05-25 K. Atazadeh , F. Darabi

We propose a new method for generating generalised uncertainty relations (GURs) including the generalised uncertainty principle (GUP), extended uncertainty principle (EUP), and extended generalised uncertainty principle (EGUP), previously…

General Relativity and Quantum Cosmology · Physics 2019-12-17 Matthew J. Lake

The absence of isotropic singularity in loop quantum cosmology can be understood in an effective classical description as the universe exhibiting a Big Bounce. We show that with scalar matter field, the big bounce is generic in the sense…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ghanashyam Date , Golam Mortuza Hossain

Studies in string theory and quantum gravity lead to the Generalized Uncertainty Principle (GUP) and suggest the existence of a fundamental minimal length which, as was established, can be obtained within the deformed Heisenberg algebra.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 V. M. Tkachuk

The cosmological particle horizon is the maximum measurable length in the Universe. The existence of such a maximum observable length scale implies a modification of the quantum uncertainty principle. Thus due to non-locality of quantum…

General Relativity and Quantum Cosmology · Physics 2017-06-07 L. Perivolaropoulos

In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on canonical quantum gravity of black holes. Through the use of modified partition function that involves the effects of the GUP, we obtain the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 A. Bina , S. Jalalzadeh , A. Moslehi

Motivated by recent works, we employ the bounds on the dimensionless quantum-gravity parameter obtained from six gravitational tests in order to obtain bounds on the dimensionless parameter of the generalized uncertainty principle with…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Mohammed Hemeda , Hassan Alshal , Ahmed Farag Ali , Elias C. Vagenas