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A generalized uncertainty principle is obtained from a conformally transformed action containing a scalar field and a unique constraint. The constraint's Lagrange multiplier is found to obey a relativistic diffusion equation transforming…

High Energy Physics - Theory · Physics 2020-04-24 Dor Gabay

The unexplained observed baryon asymmetry in the Universe is a long-standing problem in physics, with no satisfactory resolution so far. To explain this asymmetry, three Sakharov conditions must be met. An interaction term which couples…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Saurya Das , Mitja Fridman , Gaetano Lambiase , Elias C. Vagenas

Quantum mechanics with a generalized uncertainty principle arises through a representation of the commutator $[\hat{x}, \hat{p}] = i f(\hat{p})$. We apply this deformed quantization to free scalar field theory for $f_\pm =1\pm \beta p^2$.…

High Energy Physics - Theory · Physics 2013-02-28 Viqar Husain , Dawood Kothawala , Sanjeev S. Seahra

We study the Generalized Uncertainty Principle (GUP) modified time evolution for the width of wave-packets for a scalar potential. Free particle case is solved exactly where the wave-packet broadening is modified by a coupling between the…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Carlos Villalpando , Sujoy K. Modak

Generalized uncertainty principles (GUP) and, independently, Lorentz symmetry violations are two common features in many candidate theories of quantum gravity. Despite that, the overlap between both has received limited attention so far. In…

High Energy Physics - Theory · Physics 2023-05-22 André H. Gomes

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

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

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

We show that implementing a generalized uncertainty principle (GUP) with both minimal length and maximal momentum directly on the reduced phase space of the Schwarzschild black hole (BH) leads to a finite and discrete mass spectrum, a…

General Relativity and Quantum Cosmology · Physics 2026-04-13 S. Jalalzadeh , H. Moradpour

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

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

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

An upper bound on the parameter that provides a generalized uncertainty principle (GUP) is obtained from the black hole shadow. With the aid of a recent constraint between regular black holes and the GUP parameter, it is indicated a…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Juliano C. S. Neves

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 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

By introducing the generalized uncertainty principle (GUP) on quantum density states, we newly obtain a consistent entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff in contrast to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wontae Kim , Yong-Wan Kim , Young-Jai Park

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

We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial…

High Energy Physics - Theory · Physics 2013-11-13 Michele Maggiore

In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Michael Bishop , Daniel Hooker , Peter Martin , Douglas Singleton