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This paper links the advanced formulation of the Generalized Uncertainty Principle, termed the Asymptotic Generalized Extended Uncertainty Principle (AGEUP), to the corpuscular framework to derive the AGEUP-inspired black hole metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Reggie C. Pantig , Gaetano Lambiase , Ali Övgün , Nikko John Leo S. Lobos

We explore analytically the implications of a curvature-modified extended uncertainty principle (EUP) derived in a rotating G\"odel spacetime and apply it to the construction of a semiclassical black hole model. Adapting techniques from…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Reggie C. Pantig

We revisit the Extended Uncertainty Principle (EUP) from an operational viewpoint, replacing wavefunction-based widths with apparatus-defined position constraints such as a finite slit of width $\Delta x$ or a geodesic ball of radius $R$.…

Quantum Physics · Physics 2025-09-03 Thomas Schürmann

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

In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations proposed in the quantum gravity literature, can be derived…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Matthew J. Lake , Marek Miller , Ray Ganardi , Tomasz Paterek

Motivated by the recent work about the Extended Uncertainty Principle (EUP) black holes \cite{Mureika:2018gxl}, we present in this study its extension called the Generalized Extended Uncertainty Principle (GEUP) black holes. In particular,…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Nikko John Leo S. Lobos , Reggie C. Pantig

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking…

High Energy Physics - Theory · Physics 2017-06-14 Sven Köppel , Marco Knipfer , Maximiliano Isi , Jonas Mureika , Piero Nicolini

We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Mariusz P. Dabrowski , Fabian Wagner

Modifications in quantum mechanical phase space lead to the changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the Extended Uncertainty Principle (EUP), introducing quantum…

High Energy Physics - Theory · Physics 2025-01-13 A. Pachoł

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

The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General…

General Relativity and Quantum Cosmology · Physics 2020-06-17 R. Casadio , F. Scardigli

In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

A good hundred years after the necessity for a quantum theory of gravity was acknowledged by Albert Einstein, the search for it continues to be an ongoing endeavour. Nevertheless, the field still evolves rapidly as manifested by the recent…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Fabian Wagner

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Jonas Mureika , Elias C. Vagenas

The generalized uncertainty principle (GUP) corrected modified relativistic particle model has been derived in curved space-time. From this modified model, the equation of motion (EM) has been constructed relativistically in terms of the…

High Energy Physics - Theory · Physics 2014-07-16 Souvik Pramanik

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

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

Recently Ali et.al.(2009) proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Plank length). Inspired by this idea here we calculate the quantum corrected value of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Barun Majumder

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

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
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