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A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

The standard form of generalized uncertainty principle (GUP) predicts that the Hawking temperature is modified near the Planck scale and that the Bekenstein-Hawking entropy receives a logarithmic correction, consistent with other approaches…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Yen Chin Ong

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

Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous…

General Relativity and Quantum Cosmology · Physics 2017-04-28 Dongfeng Gao , Mingsheng Zhan

Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified…

General Physics · Physics 2015-11-04 Abdel Nasser Tawfik , Abdel Magied Diab

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the…

High Energy Physics - Theory · Physics 2012-01-16 Pouria Pedram

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 we examine the Wheeler-DeWitt equation for a Schwarzschild black hole with…

General Relativity and Quantum Cosmology · Physics 2011-06-28 Barun Majumder

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

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Vasil Todorinov , Saurya Das , Pasquale Bosso

In this paper, we calculate the modification to the thermodynamics of a Schwarzschild black hole in higher dimensions because of Generalized Uncertainty Principle (GUP). We use the fact that the leading order corrections to the entropy of a…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Sunandan Gangopadhyay , Abhijit Dutta , Mir Faizal

We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Abdel Nasser Tawfik , Abdel Magied Diab

We investigate the thermodynamics of the Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the…

High Energy Physics - Theory · Physics 2016-09-20 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

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 show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections…

High Energy Physics - Theory · Physics 2008-12-18 Saurya Das , Elias C. Vagenas

In this paper we study thermodynamics of black body radiation in the presence of quantum gravitational effects through a Generalized Uncertainty Principle that admits both a minimal measurable length and a maximal momentum. We focus on…

General Physics · Physics 2013-10-17 Homa Shababi

Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schr\"odinger equation, when applied to a non-relativistic…

General Relativity and Quantum Cosmology · Physics 2016-02-04 Soumen Deb , Saurya Das , Elias C. Vagenas

We obtain an effective acoustic metric with quantum corrections that are provided by a minimum length implemented by the generalized Heisenberg uncertainty principle (GUP) in the Abelian Higgs model. The effective acoustic metric now…

General Relativity and Quantum Cosmology · Physics 2022-03-22 M. A. Anacleto , F. A. Brito , G. C. Luna , E. Passos

Schwarzschild black holes with quantum corrections are studied under scalar field perturbations and electromagnetic field perturbations to analyze the effect of the correction term on the potential function and quasinormal mode (QNM). In…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Yujia Xing , Yi Yang , Dong Liu , Zheng-Wen Long , Zhaoyi Xu

We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact…

High Energy Physics - Theory · Physics 2021-07-07 Luciano Petruzziello

The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Vasil Todorinov , Pasquale Bosso , Saurya Das