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After a short introduction to the generalized uncertainty principle (GUP), we discuss heuristic derivations of the Casimir effect, first from the usual Heisenberg uncertainty principle (HUP), and then from GUP. Results are compared with…

High Energy Physics - Theory · Physics 2025-03-25 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabio Scardigli

Very recently authors in [5] proposed a new Generalized Uncertainty Principle (or GUP) with a linear term in Plank length. In this Letter the effect of this GUP is studied in quantum cosmological models with dust and cosmic string as the…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Barun Majumder

To more flexibly balance between exploration and exploitation, a new meta-heuristic method based on Uncertainty Principle concepts is proposed in this paper. UP is is proved effective in multiple branches of science. In the branch of…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Mojtaba Moattari , Mohammad Hassan Moradi , Emad Roshandel

The existence of a fundamental length scale in Nature is a common prediction of distinct quantum gravity models. Discovery of such would profoundly change current knowledge of quantum phenomena and modifications to the Heisenberg…

Quantum Physics · Physics 2023-02-03 Andre H. Gomes

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

The non-relativistic quantum mechanics with a generalized uncertainty principle (GUP) is examined in $D$-dimensional free particle and harmonic oscillator systems. The Feynman propagators for these systems are exactly derived within the…

Quantum Physics · Physics 2020-05-20 DaeKil Park

A projection method is proposed to treat the one-dimensional Schrodinger equation for a single particle when the Generalized Uncertainty Principle (GUP) generates an ultraviolet (UV) wavevector cutoff. The existence of a unique coordinate…

Mathematical Physics · Physics 2015-06-12 K. Sailer , Z. Peli , S. Nagy

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

In this paper, we derive the non-commutative corrections to the maximal acceleration of a massive particle. Using the eight-dimensional kappa-deformed phase-space metric, we obtain the kappa-deformed maximal acceleration, valid up to first…

High Energy Physics - Theory · Physics 2020-12-23 E. Harikumar , Vishnu Rajagopal

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of…

High Energy Physics - Theory · Physics 2014-12-31 Mohammed M. Khalil

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

In this work we have considered a simple mechanical oscillator interacting with a single mode optical field inside a cavity in the generalized uncertainty principle framework (GUP). Our aim is to calculate the modified noise spectrum and…

Quantum Physics · Physics 2022-03-29 Soham Sen , Sukanta Bhattacharyya , Sunandan Gangopadhyay

We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Daniel Berkowitz

In this paper, we study the effects of Generalized Uncertainty Principle(GUP) and Modified Dispersion Relations(MDRs) on the thermodynamics of ultra-relativistic particles in early universe. We show that limitations imposed by GUP and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Behnaz Fazlpour

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 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

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

This paper is based on the study of the paper of Scardigli and Casadio [Eur. Phys. J. C (2015) 75:425] where the authors computed the light deflection and perihelion precession for the Generalized Uncertainty Principle (GUP) modified…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Özgür Ökcü , Ekrem Aydiner

The links between the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the two free parameters $\hat{\omega}$ and $\gamma$ of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG)…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Gaetano Lambiase , Reggie C. Pantig , Dhruba Jyoti Gogoi , Ali Övgün

Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP). Although GUP considers gravitational…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Sara Azizi , Sareh Eslamzadeh , Javad T. Firouzjaee , Kourosh Nozari
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