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We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

In General Relativity, gravity around a black hole is universally regarded as an attractive force. However, quantum effects may significantly alter this classical picture and thus affect the dynamics of test particles. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Yan Liu , Jie Jiang , Bing Sun

We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation between their centers, the…

Quantum Physics · Physics 2023-05-19 Ankit Kumar , Tanjung Krisnanda , P. Arumugam , Tomasz Paterek

In order to gain insight into the possible Ground State of Quantized Einstein's Gravity, we have devised a variational calculation of the energy of the quantum gravitational field in an open space, as measured by an asymptotic observer…

High Energy Physics - Theory · Physics 2009-10-30 S. Cacciatori , G. Preparata , S. Rovelli , I. Spagnolatti , She-Sheng Xue

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

Each approach to the quantum-gravity problem originates from expertise in one or another area of theoretical physics. The particle-physics perspective encourages one to attempt to reproduce in quantum gravity as much as possible of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giovanni Amelino-Camelia

An effective force induced by spatially depending decoherence is predicted. The phenomenon is illustrated by a simple model of a 1/2-spin particle subjected to distributed unselective measurement of noncommuting spin components.

Quantum Physics · Physics 2007-05-23 L. V. Il'ichov

We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

High Energy Physics - Theory · Physics 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

We argue that a quantum aether is consistent with the principle of relativity and can provide an economical way of having an invariant quantum gravity or Planck scale. We also show that it may change the effective scale at which quantum…

General Relativity and Quantum Cosmology · Physics 2012-02-02 Saurya Das , Elias C. Vagenas

We describe the dynamics of a bound state of an attractive $\delta$-well under displacement of the potential. Exact analytical results are presented for the suddenly moved potential. Since this is a quantum system, only a fraction of the…

Quantum Physics · Physics 2015-05-13 Er'el Granot , Avi Marchewka

In a recent paper [J. Math. Phys. 47 082303 (2006)], Quantum Energy Inequalities were used to place simple geometrical bounds on the energy densities of quantum fields in Minkowskian spacetime regions. Here, we refine this analysis for…

Mathematical Physics · Physics 2008-11-26 Simon P. Eveson , Christopher J. Fewster

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Martin Bojowald

This work explores how the generalized uncertainty principle, a theoretical modification of the Heisenberg uncertainty principle inspired by quantum gravity, affects neutrino flavor oscillations. By extending the standard two-flavor…

High Energy Physics - Phenomenology · Physics 2025-09-18 Kartik Joshi , Sanjib Dey , Satyajit Jena

It is argued that (a) In the quantum realm test-particle masses have non-trivial observability which induces a non-geometric element in gravity, (b) Any theory of quantum gravity, on fundamental grounds, must contain an element of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia

In this note, we attempt to provide some insights into the structure of non-perturbative descriptions of quantum gravity using known examples of gauge-theory / gravity duality. We argue that in familiar examples, a quantum description of…

High Energy Physics - Theory · Physics 2010-03-24 Mark Van Raamsdonk

A theory recently proposed by the author aims to explain decoherence and the thermodynamical behaviour of closed systems within a conservative, unitary, framework for quantum gravity by assuming that the operators tied to the gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Bernard S. Kay

A growing number of studies is being devoted to the identification of plausible quantum properties of spacetime which might give rise to observably large effects. The literature on this subject is now relatively large, including studies in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Giovanni Amelino-Camelia , Y. Jack NG , Hendrik Van Dam

We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space displays stochastic web structures, and the diffusion…

chao-dyn · Physics 2012-07-30 Baowen Li , Jie Liu , Yan Gu , Bambi Hu

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

We investigate the influence of a constant and time-dependent linear gravitational-like potential on one-dimensional quantum droplets (QDs), governed by an extended GPE incorporating a repulsive cubic effective mean-field (EMF) term and an…

Quantum Physics · Physics 2025-08-07 Saurab Das , Jayanta Bera , Ajay Nath