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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

This paper proposes a new high-order generalized uncertainty principle, which can modify the momentum operator and position operator simultaneously. Moreover, the new form of GUP is consistent with the viewpoint of the existence of the…

Quantum Physics · Physics 2020-08-06 Zi-Long Zhao , Qi-Kang Ran , Hassan Hassanabadi , Yi Yang , Hao Chen , Zheng-Wen Longa

A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum…

General Relativity and Quantum Cosmology · Physics 2013-02-25 Ahmed Farag Ali , A. Tawfik

We apply the Generalized Uncertainty Principle (GUP) to the problem of maximum entropy and evaporation/absorption of energy of black holes near the Planck scale. We find within this general approach corrections to the maximum entropy, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. S. Custodio , J. E. Horvath

We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bambi , F. R. Urban

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg Uncertainty Principle near the Plank scale, known as the Generalized Uncertainty Principle (GUP). Here we…

High Energy Physics - Theory · Physics 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh

This paper links the advanced formulation of the Generalized Uncertainty Principle, termed the Asymptotic Generalized Extended Uncertainty Principle (AGEUP), to the corpuscular framework to derive the AGEUP-inspired black hole metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Reggie C. Pantig , Gaetano Lambiase , Ali Övgün , Nikko John Leo S. Lobos

Almost all theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). Recently it was shown that the GUP gives rise to corrections…

High Energy Physics - Theory · Physics 2015-05-30 Saurya Das , R. B. Mann

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

Existence of a minimal measurable length and an upper bound for the momentum fluctuations are the casting reasons for generalization of uncertainty principle and then reformulation of Hilbert space representation of quantum mechanics. In…

General Relativity and Quantum Cosmology · Physics 2016-11-29 N. Sadeghnezhad

Modifications in quantum mechanical phase space lead to the changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the Extended Uncertainty Principle (EUP), introducing quantum…

High Energy Physics - Theory · Physics 2025-01-13 A. Pachoł

We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

High Energy Physics - Theory · Physics 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

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

In a previous paper [Blado G, Owens C, and Meyers V 2014 Quantum Wells and the Generalized Uncertainty Principle Eur. J. Phys. 35 065011], we showed that quantum gravity effects can be discussed with only a background in non-relativistic…

Quantum Physics · Physics 2016-01-13 Gardo Blado , Trevor Prescott , James Jennings , Joshuah Ceyanes , Rafael Sepulveda

We have derived a new Generalised Uncertainty Principle (GUP) based on certain general assumptions. This GUP is consistent with predictions from string theory. It is then used to study Schwarzschild black hole thermodynamics. Corrections to…

General Relativity and Quantum Cosmology · Physics 2011-10-25 Rabin Banerjee , Sumit Ghosh

We derive the formula of the black hole entropy with a minimal length of the Planck size by counting quantum modes of scalar fields in the vicinity of the black hole horizon, taking into account the generalized uncertainty principle (GUP).…

High Energy Physics - Theory · Physics 2009-11-18 Wontae Kim , John J. Oh

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

We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees…

High Energy Physics - Theory · Physics 2009-10-22 Michele Maggiore

The non-zero minimal length arises in various theories of gravity, leading to the so-called generalized uncertainty principle (GUP). In this short paper we analyze the GUP effects on neutron interferometry, showing that the obtained phase…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Fabiano Feleppa , Hooman Moradpour , Christian Corda , Sarah Aghababaei

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