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Phenomenological approaches to quantum gravity implement a minimum resolvable length-scale but do not link it to an underlying formalism describing geometric superpositions. Here, we introduce an intuitive approach in which points in the…

Quantum Physics · Physics 2019-09-05 Matthew J. Lake , Marek Miller , Ray F. Ganardi , Zheng Liu , Shi-Dong Liang , Tomasz Paterek

In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on the spectrum of a particle that is bouncing vertically and elastically on a smooth reflecting floor in the Earth's gravitational field (a quantum bouncer).…

High Energy Physics - Theory · Physics 2011-03-23 Kourosh Nozari , Pouria Pedram

Low-energy remnant fundamental symmetry violations may be present in nature at levels attainable in upcoming experiments. These effects may arise through spontaneous symmetry breaking in a more complete Lorentz covariant theory underlying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Don Colladay

The role of the gravitational sector in the Lorentz- and CPT-violating Standard-Model Extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting…

High Energy Physics - Theory · Physics 2009-07-09 Alan Kostelecky

In recent years the discrepancy in the value of the Hubble parameter has been growing. Recently, there are works supporting the proposal that the uncertainty principles can solve the Hubble tension. Motivated by this proposal, we work with…

General Relativity and Quantum Cosmology · Physics 2021-10-07 S. Aghababaei , H. Moradpour , Elias C. Vagenas

The classical uncertainty principle inequalities were imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle was reformulated in terms of proper space-time length element,…

General Physics · Physics 2021-09-27 David Escors , Grazyna Kochan

A series of aspects of the quantum gravity predict a modification in the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP). In the present work, using the momentum space representation, we study the behavior of…

High Energy Physics - Theory · Physics 2018-08-01 Bing-Qian Wang , Zheng-Wen Long , Chao-Yun Long , Shu-Rui Wu

A good hundred years after the necessity for a quantum theory of gravity was acknowledged by Albert Einstein, the search for it continues to be an ongoing endeavour. Nevertheless, the field still evolves rapidly as manifested by the recent…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Fabian Wagner

Lorentz symmetry is a cornerstone of both the General relativity and Standard Model and its experimental verification deepens our understanding of nature. This paper focuses on the investigation of Lorentz violations with the context of…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Cheng-Gang Qin , Yu-Jie Tan , Xiao-Yu Lu , Tong Liu , Yan-Rui Yang , Qin Li , Cheng-Gang Shao

In the present study we analyse, within the scalar sector of the Standard-Model Extension (SME) framework, the influence of a spontaneous Lorentz symmetry breaking on gravitational quantum states of ultracold neutrons. The model is framed…

High Energy Physics - Phenomenology · Physics 2022-07-15 C. A. Escobar , A. Martín-Ruiz , A. M. Escobar-Ruiz , Román Linares

We describe the results of an experiment to test for spacetime anisotropy terms that might exist from Lorentz violations. The apparatus consists of a pair of cylindrical superconducting cavity-stabilized oscillators operating in the…

Classical Physics · Physics 2009-07-09 J. A. Lipa , J. A. Nissen , S. Wang , D. A. Stricker , D. Avaloff

All quantum gravity approaches lead to small modifications in the standard laws of physics which lead to violations of Lorentz invariance. One particular example is the extended standard model (SME). Here, a general phenomenological…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claus Laemmerzahl , Alfredo Macias , Holger Mueller

We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Luca Buoninfante , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

In this paper, we study supersymmetry in quantum mechanics using the generalized uncertainty principle (GUP), or in other words, generalized supersymmetry in quantum mechanics. We construct supersymmetry in the generalized form of the…

Quantum Physics · Physics 2024-09-06 Meysam Hassandoust

We establish anisotropic uncertainty principles (UPs) for general metaplectic operators acting on $L^2(\mathbb{R}^d)$, including degenerate cases associated with symplectic matrices whose $B$-block has nontrivial kernel. In this setting,…

Analysis of PDEs · Mathematics 2026-01-26 Elena Cordero , Gianluca Giacchi , Edoardo Pucci

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

Numerous studies have shown that generalized uncertainty principle (GUP) removes the Chandrasekhar limit, which can be restored using a negative GUP parameter. This study indicates that observational phantom dark energy also requires an…

General Relativity and Quantum Cosmology · Physics 2024-10-23 S. Ahmadi , E. Yusofi , M. A. Ramzanpour

A recently developed Standard-Model Extension (SME) formalism for neutrino oscillations that includes Lorentz and CPT violation is used to analyze the sidereal time variation of the neutrino event excess measured by the Liquid Scintillator…

Generalized uncertainty principles are able to serve as useful descriptions of some of the phenomenology of quantum gravity effects, providing an intuitive grasp on non-trivial space-time structures such as a fundamental discreteness of…

High Energy Physics - Theory · Physics 2015-06-03 Martin Bojowald , Achim Kempf

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