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Generalized uncertainty principles (GUP) and, independently, Lorentz symmetry violations are two common features in many candidate theories of quantum gravity. Despite that, the overlap between both has received limited attention so far. In…

High Energy Physics - Theory · Physics 2023-05-22 André H. Gomes

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

Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Ahmed Farag Ali , A. Tawfik

Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schr\"odinger equation, when applied to a non-relativistic…

General Relativity and Quantum Cosmology · Physics 2016-02-04 Soumen Deb , Saurya Das , Elias C. Vagenas

The prediction of a minimal length scale by various quantum gravity candidates (such as string/M theory, Doubly Special Relativity, Loop Quantum Gravity and others) have suggested modification of Heisenberg Uncertainty Principle (HUP),…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

The implications of a Generalized Uncertainty Principle on the Taub cosmological model are investigated. The model is studied in the ADM reduction of the dynamics and therefore a time variable is ruled out. Such a variable is quantized in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Valerio Battisti , Giovanni Montani

In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a…

General Relativity and Quantum Cosmology · Physics 2025-08-21 João Gabriel Galli Gimenez , Dimiter Hadjimichef , Peter O. Hess , Marcelo Netz-Marzola , César A. Zen Vasconcellos

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

We examine quantum gravity effects by applying the generalized uncertainty principle (GUP) to entropic uncertainty relation conditions on quantum entanglement. In particular, we study the GUP corrections to the Shannon entropic uncertainty…

Quantum Physics · Physics 2023-10-17 Otto Gadea , Gardo Blado

The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological applications. One key obstacle routinely encountered while…

Exactly Solvable and Integrable Systems · Physics 2016-04-13 Maria Chiara Braidotti , Ziad H. Musslimani , Claudio Conti

We give a pedagogical introduction to the generalized uncertainty principle (GUP), by showing how it naturally emerges when the action of gravity is taken into account in measurement processes. We review some physical predictions of the…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Fabio Scardigli

The Generalized Uncertainty Principle (GUP), which has been predicted by various theories of quantum gravity near the Planck scale is implemented on deriving the thermodynamics of ideal Quark-Gluon Plasma (QGP) consisting of two massless…

High Energy Physics - Phenomenology · Physics 2014-10-24 I. Elmashad , A. Farag Ali , L. I. Abou-Salem , Jameel-Un Nabi , A. Tawfik

The Generalized Uncertainty Principle (GUP) and Extended Uncertainty Principle (EUP) are modifications to the Heisenberg Uncertainly Principle (HUP), expected to apply as the energy approaches the Planck scale. Here we consider a possible…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Bernard Carr , Jonas Mureika

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle.…

Quantum Physics · Physics 2014-11-18 Kourosh Nozari , Tahereh Azizi

Existence of a minimal measurable length and an upper bound for the momentum fluctuations are the casting reasons for generalization of uncertainty principle and then reformulation of Hilbert space representation of quantum mechanics. In…

General Relativity and Quantum Cosmology · Physics 2016-11-29 N. Sadeghnezhad

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

This work is motivated by the sign problem in a logarithmic parameter of black hole entropy and the existing more massive white dwarfs than the Chandrasekhar mass limit. We examine the quadratic, linear, and linear-quadratic generalized…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Idrus Husin Belfaqih , Harris Maulana , Anto Sulaksono

We investigate the imprints of the Generalized Uncertainty Principle on cosmological scales by using redshift-space distortion measurements in combination with background cosmological data to determine constraints on the deformation…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-03 Andronikos Paliathanasis

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bambi , F. R. Urban