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We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact…

High Energy Physics - Theory · Physics 2021-07-07 Luciano Petruzziello

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

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

We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello

The Generalized Uncertainty Principle (GUP) is motivated by the premise that spacetime fluctuations near the Planck scale impose a lower bound on the achievable resolution of distances, leading to a minimum length. Inspired by a…

High Energy Astrophysical Phenomena · Physics 2024-02-12 Marcelo Netz-Marzola , César Augusto Zen Vasconcellos , Dimiter Hadjimichef

Various models of quantum gravity suggest a modification of the Heisenberg's Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum. In this work we show how this modification influences the…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Pasquale Bosso , Saurya Das

Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole physics near the well-known Planck scale. The…

Quantum Physics · Physics 2011-06-14 Marcelo A Marchiolli , Maurizio Ruzzi

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

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) 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 Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale $l_m$. In this scenario, black holes must have a radius larger than $l_m$. They are hotter and evaporate faster than in standard Hawking…

High Energy Physics - Phenomenology · Physics 2017-06-28 Marco Cavaglia , Benjamin Harms , Shaoqi Hou

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

Different candidates of Quantum Gravity such as String Theory, Doubly Special Relativity, Loop Quantum Gravity and black hole physics all predict the existence of a minimum observable length or a maximum observable momentum which modifies…

High Energy Physics - Theory · Physics 2010-11-30 Pouria Pedram

The fundamental physical description of Nature is based on two mutually incompatible theories: Quantum Mechanics and General Relativity. Their unification in a theory of Quantum Gravity (QG) remains one of the main challenges of theoretical…

General Relativity and Quantum Cosmology · Physics 2019-06-20 Pasquale Bosso

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) 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

The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg's uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory. We are used to working with metric…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Yen Chin Ong

The existence of a minimal length is a common prediction of various theories of quantum gravity. This minimal length leads to a modification of the Heisenberg uncertainty principle to a Generalized Uncertainty Principle (GUP). Various…

General Relativity and Quantum Cosmology · Physics 2015-11-05 Ahmed Farag Ali , Mohammed M. Khalil , Elias C. Vagenas

Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg Uncertainty Principle near the Plank scale, known as the Generalized Uncertainty Principle (GUP). Here we…

High Energy Physics - Theory · Physics 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh