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The far-reaching gravitational force is described by a heuristic impact model with hypothetical massless entities propagating at the speed of light in vacuum and transferring momentum and energy be- tween massive bodies through interactions…

General Physics · Physics 2018-04-12 K. Wilhelm , B. N. Dwivedi

In this paper we derive a new model for visco-elasticity with large deformations where the independent variables are the stretch and the rotation tensors which intervene with second gradients terms accounting for physical properties in the…

Analysis of PDEs · Mathematics 2024-10-21 Abramo Agosti , Pierluigi Colli , Michel Frémond

The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Herbert W. Hamber , Ruth M. Williams

We extend the study of the inertial effects on the dynamics of active agents to the case where self-alignment is present. In contrast with the most common models of active particles, we find that self-alignment, which couples the rotational…

Soft Condensed Matter · Physics 2024-10-18 Jeremy Fersula , Nicolas Bredeche , Olivier Dauchot

Considering the self force and radiation due to a small body in orbit (especially aperiodic) around a black hole, this paper defines a decomposition of the source into a sum over the shape preserving periodic motions of extended objects…

General Relativity and Quantum Cosmology · Physics 2013-08-02 Barak Kol

We consider the nonlinear Dirac equations (NLDE's) in 1+1 dimension with scalar-scalar self interaction $\frac{g^2}{\kappa+1} ({\bPsi} \Psi)^{\kappa+1}$ in the presence of various external electromagnetic fields. Starting from the exact…

Pattern Formation and Solitons · Physics 2015-03-20 Franz G. Mertens , Niurka R. Quintero , Fred Cooper , Avinash Khare , Avadh Saxena

Effective interactions inherently encompass many-body effects that appear unified. Analyzing these in reverse, that is, separating them into contributions from pairs, triples, or larger groups, is typically intricate and seldom pursued.…

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

(from the talk:) I shall here speak on gravity in (1+1)-dimensional space-time --- lineal gravity. The purpose of studying lower dimensional theories, and specifically lower dimensional gravity, is to gain insight into difficult…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Jackiw

Effective field theories include contact-range interactions (or counterterms) for two reasons: representing the unknown short-range physics in a model independent manner and ensuring the cutoff independence of observables. Both are…

Nuclear Theory · Physics 2026-04-14 Manuel Pavon Valderrama

The description of dispersion forces within the framework of macroscopic quantum electrodynamics in linear, dispersing, and absorbing media combines the benefits of approaches based on normal-mode techniques of standard quantum…

Quantum Physics · Physics 2010-01-04 Stefan Yoshi Buhmann , Dirk-Gunnar Welsch

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point…

Mathematical Physics · Physics 2012-07-23 Yurij Yaremko

When four-dimensional general relativity is embedded in an unconstrained man-ner in a fifth dimension, the physical quantities of spacetime can be interpreted as geometrical properties related to the extra dimension. It has become…

General Relativity and Quantum Cosmology · Physics 2010-06-18 Paul S. Wesson

The motion of a classical test particle moving on a 4-dimensional brane embedded in an $n$-dimensional bulk is studied in which the brane is allowed to fluctuate along the extra dimensions. It is shown that these fluctuations produce three…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Jalalzadeh , B. Vakili , H. R. Sepangi

In this paper we have resolved the apparent paradox of different mechanical equations for force and torque governing the motion of a charged particle in different inertial frames. The same paradox arises in all usual ``explanations'' of the…

General Physics · Physics 2007-05-23 Tomislav Ivezic

Motivated by the apparent lack of a workable hypothesis we developed a model to describe phenomena such as entanglement and the EPR-paradox. In the model we propose the existence of extra hidden dimensions. Through these dimensions it will…

Quantum Physics · Physics 2007-05-23 A. Dietrich , W. Been

The relativistic equation of motion of a particle with spin is derived. The effects of the spin are compared to the effects of the self force. For low energies the spin effects are shown to be two orders of magnitude larger than the self…

Optics · Physics 2007-05-23 Richard T. Hammond

Much of the progress in the gravitational self-force problem has involved the use of singular perturbation techniques. Yet the formalism underlying these techniques is not widely known. I remedy this situation by explicating the foundations…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Adam Pound

We study the dynamics of extended test bodies in flat Friedmann-Robertson-Walker spacetimes. It is shown that such objects can usually alter their inertial mass, spin, and center-of-mass trajectory purely through the use of internal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abraham I. Harte

We revise the solutions of the forced Korteweg-de Vries equation describing a resonant interaction of a solitary wave with external pulse-type perturbations. In contrast to previous works where only the limiting cases of a very narrow…

Pattern Formation and Solitons · Physics 2019-03-25 Andrei Ermakov , Yury Stepanyants