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We compare two alternative representations of quantum mechanics: Polymer Quantum Mechanics (PQM), which presents features similar to Loop Quantum Gravity and Loop Quantum Cosmology, and the Generalized Uncertainty Principle (GUP)…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Gabriele Barca , Eleonora Giovannetti , Giovanni Montani

Various theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP). We show that the GUP gives rise to two additional terms…

High Energy Physics - Theory · Physics 2010-11-02 Saurya Das , Elias C. Vagenas

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

The possibility of finding the measurable maximal energy and the minimal time interval is discussed in different quantum aspects. It is found that the linear generalized uncertainty principle (GUP) approach gives a non-physical result.…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Eiman Abou El Dahab , Abdel Nasser Tawfik

We derive the primordial power spectra and spectral indexes of the density fluctuations and gravitational waves in the framework of loop quantum cosmology (LQC) with holonomy and inverse-volume corrections, by using the uniform asymptotic…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu

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

We review versions of the Generalized Uncertainty Principle (GUP) obtained in string theory and in gedanken experiments carried out in Quantum Gravity. We show how a GUP can be derived from a measure gedanken experiment involving…

High Energy Physics - Theory · Physics 2011-05-05 Fabio Scardigli

We employ Bozza's method to calculate the deflection angle of light in the presence of the strong gravitational field generated by an improved Schwarzschild-like black hole whose metric, regular throughout the entire spacetime, was derived…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Javier Chagoya , I. Díaz-Saldaña , Benito Rodríguez , Wilfredo Yunpanqui

The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics.…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jaume Giné , Giuseppe Gaetano Luciano

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

Existence of minimal length is suggested in any quantum theory of gravity such as string theory, double special relativity and black hole physics. One way to impose minimal length is deforming Heisenberg algebra in phase space which is…

General Relativity and Quantum Cosmology · Physics 2012-10-18 B. Vakili , M. A. Gorji

The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (e.g., Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In…

High Energy Physics - Theory · Physics 2022-06-28 Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

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 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

The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Serena Giardino , Vincenzo Salzano

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

In this manuscript, we delve into an analytic and numerical probe of shadow with different accretion models, quasinormal modes, Hawking radiation, and gravitational lensing to study observational impacts of quantum effect introduced…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Himangshu Barman , Ahmad Al-Badawi , Sohan Kumar Jha , Anisur Rahaman

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

The existence of a small, non-zero cosmological constant is one of the major puzzles in fundamental physics. Naively, quantum field theory arguments would imply a cosmological constant which is up to 10$^{120}$ times larger than the…

General Physics · Physics 2022-09-08 Michael Bishop , Joey Contreras , Peter Martin , Douglas Singleton

Exploring gravitational interactions between objects with small masses has become increasingly timely. Concurrently, oscillators with masses ranging between milligrams and grams in cavity optomechanical systems sparked interest for probing…

Quantum Physics · Physics 2025-10-30 Ziqian Tang , Wenlong Li , Huanying Sun , Xiaoxia Cai , Tiefu Li , Yulong Liu