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Related papers: Quantum Entanglement and the Generalized Uncertain…

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Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified…

General Physics · Physics 2015-11-04 Abdel Nasser Tawfik , Abdel Magied Diab

We propose a new method for generating generalised uncertainty relations (GURs) including the generalised uncertainty principle (GUP), extended uncertainty principle (EUP), and extended generalised uncertainty principle (EGUP), previously…

General Relativity and Quantum Cosmology · Physics 2019-12-17 Matthew J. Lake

The existence of a minimum observable length and/or a maximum observable momentum is in agreement with various candidates of quantum gravity such as string theory, loop quantum gravity, doubly special relativity and black hole physics. In…

High Energy Physics - Theory · Physics 2011-03-28 Pouria Pedram , Kourosh Nozari , S. H. Taheri

In this work we study the effects of the generalized uncertainty principle (GUP) in cosmology. We start with the Friedmann-Robertson-Walker (FRW) model endowed with a scalar field. After introducing the GUP modification to the model, we…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Oscar López-Aguayo , J. C. López-Domínguez , M. Sabido

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 analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representation in terms of Hilbert space and conjugate operators is not…

Mathematical Physics · Physics 2026-01-13 Sebastiano Segreto , Matteo Bruno

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a…

High Energy Physics - Phenomenology · Physics 2015-10-01 L. I. AbouSalem , N. M. El Naggar , I. A. Elmashad

Quantum gravity has exciting peculiarities on the Planck scale.The effect of generalized uncertainty principle (GUP) to the entangled scalar/fermion particles' tunneling from a Schwarzschild black hole immersed in an electromagnetic…

General Relativity and Quantum Cosmology · Physics 2016-05-11 A. Övgün

Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence…

General Relativity and Quantum Cosmology · Physics 2022-09-21 H. Moradpour , A. H. Ziaie , N. Sadeghnezhad

We derive generalised uncertainty relations (GURs) for angular momentum and spin in the smeared-space model of quantum geometry. The model implements a minimum length and a minimum linear momentum, and recovers both the generalised…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Matthew J. Lake , Marek Miller , Shi-Dong Liang

In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified operators with the same modified commutator,…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Michael Bishop , Joey Contreras , Douglas Singleton

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

The uncertainty principle and entanglement are two fundamental, but yet not well understood, features of quantum theory. The uncertainty relation reflects the capability limit in acquiring the knowledge of different physical properties of a…

Quantum Physics · Physics 2018-02-15 Jun-Li Li , Cong-Feng Qiao

We derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Gaurav Bhandari , S. D. Pathak , Harjit Ghotra , Maxim Yu Khlopov , Maxim A. Krasnov

We show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections…

High Energy Physics - Theory · Physics 2008-12-18 Saurya Das , Elias C. Vagenas

A generalized uncertainty relation for an entangled pair of particles is obtained if we impose a symmetrization rule for all operators that we should use when doing any calculation using the entangled wave function of the pair. This new…

Quantum Physics · Physics 2009-09-25 G. Rigolin

The Generalized Uncertainty Principle (GUP) stands out as a nearly ubiquitous feature in quantum gravity modeling, predicting the emergence of a minimum length at the Planck scale. Recently, it has been shown to modify the area-law scaling…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Giuseppe Gaetano Luciano , Yassine Sekhmani

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

The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Vasil Todorinov , Pasquale Bosso , Saurya Das

Within quantum electrodynamics we show that the Generalized Uncertainty Principle induces higher-derivative corrections that promote the topological invariant $F_{\mu\nu}\,\widetilde F^{\mu\nu}$ to the dynamical, non-topological operator…

High Energy Physics - Phenomenology · Physics 2025-07-29 Hector Gisbert , Victor Ilisie , Ezequiel Valero
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