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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 examine effects of the Generalized Uncertainty Principle, predicted by various theories of quantum gravity to replace the Heisenberg's uncertainty principle near the Planck scale, on post inflation preheating in cosmology, and show that…

High Energy Physics - Theory · Physics 2011-12-21 Wissam Chemissany , Saurya Das , Ahmed Farag Ali , Elias C. Vagenas

We use both mass and internal energy specified rubidium atoms to jointly test the weak equivalence principle (WEP). We improve the four-wave double-diffraction Raman transition method (FWDR) we proposed before to select atoms with certain…

We argue that in the Generalized Uncertainty Principle (GUP) model, the parameter $\beta_0$ whose square root, multiplied by Planck length $\ell_p$, approximates the minimum measurable distance, varies with energy scales. Since minimal…

High Energy Physics - Theory · Physics 2015-05-14 Benrong Mu , Houwen Wu , Haitang Yang

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

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

Quantum Physics · Physics 2013-10-24 V. M. Tkachuk

Generalized Uncertainty Principle (GUP) has brought the idea of existence of minimum measurable length in Quantum physics. Depending on this GUP, non-relativistic Hamiltonian at the Planck scale is modified. In this article, we construct…

High Energy Physics - Theory · Physics 2014-05-07 Sudipta das , Souvik Pramanik

The joint realm of quantum mechanics and the general-relativistic description of gravitation is becoming increasingly accessible to terrestrial experiments and observations. In this essay we study the emerging indications of the violation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Z. Adunas , E. Rodriguez-Milla , D. V. Ahluwalia

A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of the weak equivalence principle for macroscopic bodies,…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Kh. P. Gnatenko , V. M. Tkachuk

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

The generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position giving room for a minimal length, as predicted by candidates theories of quantum gravity. Inspired by GUP, Planck's distribution is…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Pasquale Bosso , Juan Manuel López Vega

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

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

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the…

High Energy Physics - Theory · Physics 2020-01-08 Fabio Scardigli

Wald's entropy formula allows one to find the entropy of black holes' event horizon within any diffeomorphism invariant theory of gravity. When applied to general relativity, the formula yields the Bekenstein-Hawking result but, for any…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Fayçal Hammad

Einstein, Podolsky, and Rosen (EPR) proposed, via a thought experiment, that the uncertainty principle might not provide a complete description of reality. We propose that the linear generalized uncertainty principle (GUP) may resolve the…

Quantum Physics · Physics 2024-02-27 Ahmed Farag Ali

We explore how the quantum entanglement is modified in the generalized uncertainty principle (GUP)-corrected quantum mechanics by introducing the coupled harmonic oscillator system. Constructing the ground state $\rho_0$ and its reduced…

Quantum Physics · Physics 2022-04-06 DaeKil Park

This work explores how the generalized uncertainty principle, a theoretical modification of the Heisenberg uncertainty principle inspired by quantum gravity, affects neutrino flavor oscillations. By extending the standard two-flavor…

High Energy Physics - Phenomenology · Physics 2025-09-18 Kartik Joshi , Sanjib Dey , Satyajit Jena

We present exact energy eigenvalues and eigenfunctions of the one-dimensional hydrogen atom in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP). This form of GUP is consistent with various theories of quantum…

High Energy Physics - Theory · Physics 2013-02-19 Pouria Pedram

Quantum mechanics clearly violates the weak equivalence principle (WEP). This implies that quantum mechanics also violates the strong equivalence principle (SEP), as shown in this paper. Therefore a theory of quantum gravity may not be…

General Physics · Physics 2007-05-23 Mario Rabinowitz