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We present a table-top quantum estimation protocol to measure the gravitational acceleration $g$ by using an optomechanical cavity. In particular, we exploit the non-linear quantum light-matter interaction between an optical field and a…

Quantum Physics · Physics 2017-10-13 Federico Armata , Ludovico Latmiral , A. D. K Plato , M. S. Kim

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

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

Various models of quantum gravity imply the Planck-scale modifications of Heisenberg's uncertainty principle into a so-called generalized uncertainty principle (GUP). The GUP effects on high-energy physics, cosmology, and astrophysics have…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Dongfeng Gao , Jin Wang , Mingsheng Zhan

We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Abdel Nasser Tawfik , Abdel Magied Diab

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

The existence of the cosmological particle horizon as the maximum measurable length $l_{max}$ in the universe leads to a generalization of the quantum uncertainty principle (GUP) to the form $\Delta x \Delta p \geq…

General Relativity and Quantum Cosmology · Physics 2019-12-25 F. Skara , L. Perivolaropoulos

In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified operators with the same modified commutator,…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Michael Bishop , Joey Contreras , Douglas Singleton

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

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

We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form $[X,P]=i\hbar/(1-\beta P^2)$. This form of GUP is consistent with various proposals of quantum gravity such as string theory, loop quantum…

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

We find exact energy eigenvalues and eigenfunctions of the quantum bouncer in the presence of the minimal length uncertainty and the maximal momentum. This form of Generalized (Gravitational) Uncertainty Principle (GUP) agrees with various…

High Energy Physics - Theory · Physics 2014-05-19 Pouria Pedram

The existence of a minimal measurable length as a characteristic length in the Planck scale is one of the main features of quantum gravity and has been widely explored in the context. Various different deformations of spacetime have been…

General Relativity and Quantum Cosmology · Physics 2018-01-30 M. Khodadi , K. Nozari , S. Dey , A. Bhat , Mir Faizal

We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bambi , F. R. Urban

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Pasquale Bosso , Saurya Das , Robert B. Mann

We study quantum corrections to the $\Lambda$CDM model model arising from a minimum measurable length in Heisenberg's uncertainty principle. We focus on a higher-order Generalized Uncertainty Principle, beyond the quadratic form. This…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Andronikos Paliathanasis , Genly Leon , Yoelsy Leyva , Giuseppe Gaetano Luciano , Amare Abebe

There are several theoretical indications that the quantum gravity approaches may have predictions for a minimal measurable length, and a maximal observable momentum and throughout a generalization for Heisenberg uncertainty principle. The…

General Physics · Physics 2015-12-22 Abdel Nasser Tawfik , H. Magdy , A. Farag Ali

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of…

High Energy Physics - Theory · Physics 2014-12-31 Mohammed M. Khalil

The generalized uncertainty principle and a minimum measurable length arise in various theories of gravity and predict Planck-scale modifications of the canonical position-momentum commutation relation. Postulating a similar modified…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Pasquale Bosso , Saurya Das , Robert B. Mann

A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called Generalized Uncertainty Principle (GUP), correspond to a modified commutation relation between…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Pasquale Bosso , Octavio Obregón