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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

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

With the direct detection of gravitational waves by advanced LIGO detector, a new "window" to quantum gravity phenomenology has been opened. At present, these detectors achieve the sensitivity to detect the length variation ($\delta L$),…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Sukanta Bhattacharyya , Sunandan Gangopadhyay , Anirban Saha

We propose a technique to compute the deformation parameter of the generalized uncertainty principle by using the leading quantum corrections to the Newtonian potential. We just assume General Relativity as theory of Gravitation, and the…

High Energy Physics - Theory · Physics 2017-02-17 Fabio Scardigli , Gaetano Lambiase , Elias Vagenas

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 work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent symplectic structure. This provides a solid framework for the…

Mathematical Physics · Physics 2025-04-02 Matteo Bruno , Sebastiano Segreto , Giovanni Montani

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

We examine quantum gravity effects on entanglement by a straightforward application of the generalized uncertainty principle (GUP) to continuous-variable systems. In particular, we study the following cases: the modified uncertainty…

Quantum Physics · Physics 2018-12-26 Gardo Blado , Francisco Herrera , Joshuah Erwin

Various candidates of quantum gravity such as string theory, loop quantum gravity and black hole physics all predict the existence of a minimum observable length which modifies the Heisenberg uncertainty principle to so-called Generalized…

High Energy Physics - Theory · Physics 2015-03-19 Pouria Pedram

Various gedanken experiments of quantum gravity phenomenology in search of a complete theory of gravity near the Planck scale indicate a modification of the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP).…

Quantum Physics · Physics 2021-07-14 Sukanta Bhattacharyya , Sunandan Gangopadhyay

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 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

Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this…

General Relativity and Quantum Cosmology · Physics 2011-09-21 Barun Majumder

In this paper, we study supersymmetry in quantum mechanics using the generalized uncertainty principle (GUP), or in other words, generalized supersymmetry in quantum mechanics. We construct supersymmetry in the generalized form of the…

Quantum Physics · Physics 2024-09-06 Meysam Hassandoust

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

Various approaches to Quantum Gravity (such as String Theory and Doubly Special Relativity), as well as black hole physics predict a minimum measurable length, or a maximum observable momentum, and related modifications of the Heisenberg…

High Energy Physics - Theory · Physics 2009-07-29 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of…

Quantum Physics · Physics 2024-12-18 Ying-Jie Zhao , Yan-Fang Ji , Guang-Rui Yao , Xiaojie Li , Muddasir Hanif

Recent progress in observing and manipulating mechanical oscillators at quantum regime provides new opportunities of studying fundamental physics, for example, to search for low energy signatures of quantum gravity. For example, it was…

Quantum Physics · Physics 2019-09-24 P. A. Bushev , J. Bourhill , M. Goryachev , N. Kukharchyk , E. Ivanov , S. Galliou , M. E. Tobar , S. Danilishin

A proper deformation of the underlying coordinate and momentum commutation relations in quantum mechanics provides a phenomenological approach to account for the influence of gravity on small scales. Introducing the squared momentum term…

Quantum Physics · Physics 2024-07-15 Y. V. Przhiyalkovskiy