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We show that implementing a generalized uncertainty principle (GUP) with both minimal length and maximal momentum directly on the reduced phase space of the Schwarzschild black hole (BH) leads to a finite and discrete mass spectrum, a…

General Relativity and Quantum Cosmology · Physics 2026-04-13 S. Jalalzadeh , H. Moradpour

The fast progress in improving the sensitivity of the gravitational-wave (GW) detectors, we all have witnessed in the recent years, has propelled the scientific community to the point, when quantum behaviour of such immense measurement…

Quantum Physics · Physics 2015-06-04 Stefan L. Danilishin , Farid Ya. Khalili

We consider quantum corrections for the Schwarzschild black hole metric by using the generalized uncertainty principle (GUP) to investigate quasinormal modes, shadow and their relationship in the eikonal limit. We calculate the quasinormal…

General Relativity and Quantum Cosmology · Physics 2021-11-15 M. A. Anacleto , J. A. V. Campos , F. A. Brito , E. Passos

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

We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Luca Buoninfante , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

A tenet of contemporary physics is that novel physics beyond the Standard Model lurks at a scale related to the Planck length. The development and validation of a unified framework that merges general relativity and quantum physics is…

Quantum Physics · Physics 2025-10-10 Wenlin Li , Chengsong Zhao , Najmeh Eshaqi-Sani , Zhiyu Jiang , Xingli Li

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 notions of minimum geometrical length and minimum length scale are discussed with reference to correlation functions obtained from in-in and in-out amplitudes in quantum field theory. Whereas the in-in propagator for metric…

High Energy Physics - Theory · Physics 2023-02-15 Roberto Casadio , Wenbin Feng , Ibere Kuntz , Fabio Scardigli

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

Quantum fluctuation of light limits the sensitivity of advanced laser interferometric gravitational-wave detectors. It is one of the principal obstacles on the way towards the next-generation gravitational-wave observatories. The envisioned…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Stefan L. Danilishin , Farid Ya. Khalili , Haixing Miao

The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric…

High Energy Physics - Theory · Physics 2023-05-08 A. S. Lemos , F. A. Brito

We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that remains coordinate-independent and retains as much of the…

Quantum Physics · Physics 2023-07-12 Michael Bishop , Joey Contreras , Peter Martin , Piero Nicolini , Douglas Singleton

The charged black hole thermodynamics is corrected in terms of the quantum gravity effects. Most of the quantum gravity theories support the idea that near the Planck scale, the standard Heisenberg uncertainty principle should be…

High Energy Physics - Theory · Physics 2016-08-16 N. Abbasvandi , M. J. Soleimani , Shahidan Radiman , W. A. T. Wan Abdullah

Motivated by several approaches to quantum gravity, there is a considerable literature on generalised uncertainty principles particularly through modification of the canonical position-momentum commutation relations. Some of these modified…

Quantum Physics · Physics 2022-11-23 Parth Girdhar , Andrew C. Doherty

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Uncertainty Principle predicted by several theories of quantum gravity. In this work, we compute GUP corrections to the well-known Jaynes-Cummings Model (JCM)…

Quantum Physics · Physics 2022-09-22 Kabir Khanna , Saurya Das

Numerous studies have shown that generalized uncertainty principle (GUP) removes the Chandrasekhar limit, which can be restored using a negative GUP parameter. This study indicates that observational phantom dark energy also requires an…

General Relativity and Quantum Cosmology · Physics 2024-10-23 S. Ahmadi , E. Yusofi , M. A. Ramzanpour

A modification to the Heisenberg uncertainty principle is called the generalized uncertainty principle (GUP), which emerged due to the introduction of a minimum measurable length, common among phenomenological approaches to quantum gravity.…

High Energy Physics - Phenomenology · Physics 2023-08-30 John Paul R. Bernaldez , Adrian G. Abac , Roland Emerito S. Otadoy

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 Generalized Uncertainty Principle (GUP) extends the Heisenberg Uncertainty Principle (HUP) by suggesting a minimum observable scale that includes the effects of quantum gravity, which is supposed to potentially result in observable…

High Energy Physics - Phenomenology · Physics 2025-11-04 Zhi Wang

We investigate the cosmological implications of the generalized and extended uncertainty principle (GEUP), and whether it could provide an explanation for the dark energy. The consequence of the GEUP is the existence of a minimum and a…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-25 Seyen Kouwn
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