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The present paper reconsiders the Newtonian limit of models of modified gravity including higher order terms in the scalar curvature in the gravitational action. This was studied using the Palatini variational principle in [Meng X. and Wang…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

The detection of an electromagnetic counterpart (GRB 170817A) to the gravitational wave signal (GW170817) from the merger of two neutron stars opens a completely new arena for testing theories of gravity. We show that this measurement…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Tessa Baker , Emilio Bellini , Pedro G. Ferreira , Macarena Lagos , Johannes Noller , Ignacy Sawicki

We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The…

High Energy Physics - Theory · Physics 2013-09-13 V. K. Oikonomou

We study the non-relativistic Newton-Cartan limit of higher-order gravity theories in arbitrary dimensions. We first study it at the level of the action by introducing an additional 1-form gauge field and coupling it appropriately to the…

High Energy Physics - Theory · Physics 2025-07-09 Biel Cardona , Luca Romano

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We…

High Energy Physics - Theory · Physics 2009-11-07 L. A. S. Machado , P. A. Maia Neto

We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Concentrating on…

High Energy Physics - Theory · Physics 2009-11-10 Holger Gies , Kurt Langfeld , Laurent Moyaerts

We present a method of computing Casimir forces for arbitrary geometries, with any desired accuracy, that can directly exploit the efficiency of standard numerical-electromagnetism techniques. Using the simplest possible finite-difference…

Complementing previous theoretical and experimental work, we explore new types of short-range modifications to Newtonian gravity arising from spacetime-symmetry breaking. The first non-perturbative, i.e., to all orders in coefficients for…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Quentin G. Bailey , Jennifer L. James , Janessa R. Slone , Kellie O'Neal-Ault

A topic of present interest is the application of experimentally observed quantum mechanical levels of ultra-cold neutrons in the earth's gravitational field for searching short-range modifications to gravity. A constraint on new forces in…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Zimmer , N. Kaiser

A general analysis of thermal noise in torsion pendulums is presented. The specific case where the torsion angle is kept fixed by electronic feedback is analyzed. This analysis is applied to a recent experiment that employed a torsion…

Quantum Physics · Physics 2009-11-10 S. K. Lamoreaux , W. T. Buttler

We consider quantum mechanical effects of the modified Newtonian potential in the presence of extra compactified dimensions. We develop a method to solve the resulting Schroedinger equation and determine the energy shifts caused by the…

High Energy Physics - Phenomenology · Physics 2011-06-27 E. G. Floratos , G. K. Leontaris , N. D. Vlachos

We explore two hypotheses. First, the possibility that the quantum vacuum energy density of the Casimir effect contributes to a (local) gravitational vacuum energy density. Second, the possibility that a change in the gravitational coupling…

High Energy Physics - Theory · Physics 2023-11-14 Benjamin Koch , Christian Käding , Mario Pitschmann , René Sedmik

A new systematic correction for Casimir force measurements is proposed and applied to the results of an experiment that was performed more than a decade ago. This correction brings the experimental results into good agreement with the Drude…

Quantum Physics · Physics 2010-07-27 S. K. Lamoreaux

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

Statistical Mechanics · Physics 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

Several new experiments have extended studies of the Casimir force into new and interesting regimes. This recent work will be briefly reviewed. With this recent progress, new issues with background electrostatic effects have been uncovered.…

Quantum Physics · Physics 2015-05-19 Steve K. Lamoreaux

Gravity is the weakest of all known forces. Measuring the force of gravity from micro and nano-scale source masses is an essential first step toward low-energy quantum gravity tests. In addition, measuring gravitational forces where the…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Ahmed Roman , Asem Hassan , Mohamed ElKabbash

The Yukawa correction to the Newtonian gravitational force is accepted as a parameterization of deviations from the inverse-square law of gravity which might be caused by new physics beyond the standard model of particles and the general…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Xue-Mei Deng , Yi Xie

We consider tests of short-distance modifications of gravity based on neutron interferometry in the scenario of large extra dimensions. Avoiding the non-computability problem in the calculation of the internal gravitational potential of…

General Relativity and Quantum Cosmology · Physics 2021-06-16 J. M. Rocha , F. Dahia

A novel experimental setup to measure deviations from the $1/r^2$ distance dependence of Newtonian gravity was proposed in arXiv:1609.05654. The underlying theoretical idea was to study the orbits of a microscopically-sized planetary system…

High Energy Physics - Phenomenology · Physics 2023-12-22 Jorge Baeza-Ballesteros , Andrea Donini , Gabriel Molina-Terriza , Francesc Monrabal , Ander Simón