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Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous…

General Relativity and Quantum Cosmology · Physics 2017-04-28 Dongfeng Gao , Mingsheng Zhan

In this paper, we are exploring the feasibility of observing non-classical features of gravity in a low-energy regime in a quantum optomechanical experiment. If gravity is to have an underlying quantum nature, it should hold the most…

Quantum Physics · Physics 2019-05-03 Sahar Sahebdivan

In this essay, we argue that certain aspects of the measurement require revision in Quantum Gravity. Using entropic arguments, we propose that the number of measurement outcomes and the accuracy (or the range) of the measurement are limited…

High Energy Physics - Theory · Physics 2024-08-28 Juanca Carrasco-Martinez

The effects of the IR aspects of gravity on quantum mechanics is investigated. At large distances where due to gravity the space-time is curved, there appears nonzero minimal uncertainty $\Delta p_{0}$ in the momentum of a quantum…

High Energy Physics - Theory · Physics 2009-06-30 Behrouz Mirza , Moslem Zarei

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

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

More recently, we have proposed a set of noncommutative space that describes the quantum gravity at the Planck scale [J. Phys. A: Math. Theor. 53, 115303 (2020)]. The interesting significant result we found is that, the generalized…

High Energy Physics - Theory · Physics 2022-02-01 Latévi Mohamed Lawson

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

Quantum gravity has been baffling the theoretical physicist for decades now: both for its mathematical obscurity and phenomenological testing. Nevertheless, the new era of precision cosmology presents a promising avenue to test the effects…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

The Heisenberg uncertainty principle is known to be connected to the entropic uncertainty principle. This correspondence is obtained employing a Gaussian probability distribution for wave functions associated to the Shannon entropy.…

Quantum Physics · Physics 2023-01-02 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui

A possible discrepancy has been found between the results of a neutron interferometry experiment and Quantum Mechanics. This experiment suggests that the weak equivalence principle is violated at small length scales, which quantum mechanics…

High Energy Physics - Theory · Physics 2011-03-02 Ahmed Farag Ali

The experimental verification of the Newton law of gravity at small scales has been a longstanding challenge. Recently, torsion balance experiments have successfully measured gravitational force at the millimeter scale. However, testing…

High Energy Physics - Phenomenology · Physics 2025-02-04 Yu Cheng , Jiadu Lin , Jie Sheng , Tsutomu T. Yanagida

The Heisenberg uncertainty principle is one of the fundamental pillars of quantum mechanics and quantum field theory. It is normally introduced by postulating the commutation relations $[\hat{x}^i, \hat{p}^j] = i\hbar \delta^{ij}$. However,…

High Energy Physics - Phenomenology · Physics 2026-01-29 Ezequiel Valero , Hector Gisbert , Victor Ilisie

More recently in [J. Phys. A: Math. Theor. 53, 115303 (2020)], we have introduced a set of noncommutative algebra that describes the space-time at the Planck scale. The interesting significant result we found is that the generalized…

High Energy Physics - Theory · Physics 2021-03-30 Latévi Mohamed Lawson

A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate the consequences of this correspondence for inflation and…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Saurya Das , S. Shankaranarayanan , Vasil Todorinov

In this paper, we clarify a foundational loose end affecting the phenomenological approach to quantum gravity centered around the generalization of Heisenberg uncertainty principle. This misconception stems from a series of recently…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Pasquale Bosso , Luciano Petruzziello , Fabian Wagner

Motivated by recent works, we employ the bounds on the dimensionless quantum-gravity parameter obtained from six gravitational tests in order to obtain bounds on the dimensionless parameter of the generalized uncertainty principle with…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Mohammed Hemeda , Hassan Alshal , Ahmed Farag Ali , Elias C. Vagenas

We give an overview of ongoing searches for effects motivated by the study of the quantum-gravity problem. We describe in greater detail approaches which have not been covered in recent ``Quantum Gravity Phenomenology'' reviews. In…

General Relativity and Quantum Cosmology · Physics 2009-11-11 G. Amelino-Camelia , C. Lämmerzahl , A. Macias , H. Müller

We explore the possibility of testing the quantum nature of the gravitational field with an ensemble of ultra-cold atoms. The use of many microscopic particles may circumvent some of the experimental obstacles encountered in recent…

Quantum Physics · Physics 2021-03-19 Simon A. Haine

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