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As is well-known, Newton's gravitational theory can be formulated as a four-dimensional space-time theory and follows as singular limit from Einstein's theory, if the velocity of light tends to the infinity. Here 'singular' stands for the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 G. Dautcourt

The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

General Physics · Physics 2016-09-21 Giuseppina Modestino

Since the appearance of Einstein's paper {\em"On the Electrodynamics of Moving Bodies"} and the birth of special relativity, it is understood that the theory was basically coded within Maxwell's equations. The celebrated mass-energy…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Alejandro Perez , Salvatore Ribisi

We present results from the first generation of multi-dimensional general relativistic neutrino hydrodynamics simulations of core-collapse supernovae. A comparison with models computed using either the purely Newtonian approximation or the…

Solar and Stellar Astrophysics · Physics 2011-12-09 Bernhard Mueller , Andreas Marek , Hans-Thomas Janka , Harald Dimmelmeier

Action at a distance in Newtonian physics is replaced by finite propagation speeds in classical physics, the physics defined by the field theories of Maxwell and Einstein. As a result, the differential equations of motion in Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carmen Chicone

The global observable distributions of nucleus-nucleus collisions at high energy are studied. It is shown that these distributions are sensitive to interaction dynamics and can be used to investigate the evolution of dense nuclear matter.…

High Energy Physics - Phenomenology · Physics 2009-12-15 M. V. Savina , S. V. Shmatov , N. V. Slavin , P. I. Zarubin

We derive the collision term relevant for neutrino quantum kinetic equations in the early universe and compact astrophysical objects, displaying its full matrix structure in both flavor and spin degrees of freedom. We include in our…

High Energy Physics - Phenomenology · Physics 2016-08-31 Daniel N. Blaschke , Vincenzo Cirigliano

In the reversible Schrodinger-Newton equation a complex Newton coupling G*exp(-i*alpha) is proposed in place of G. The equation becomes irreversible and all initial one-body states are expected to converge to solitonic stationary states.…

Quantum Physics · Physics 2009-08-17 Lajos Diósi , Tibor Norbert Papp

This work is devoted to molecular dynamics modeling of collision of nanoparticle having a small number of degrees of freedom with a structureless plain. The new regularities are established that determine properties of such particles.…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 M. A. Ratner , A. V. Tur , V. V. Yanovsky

We provide the differential equations that generalize the Newtonian N-body problem of celestial mechanics to spaces of constant Gaussian curvature, k, for all k real. In previous studies, the equations of motion made sense only for k…

Dynamical Systems · Mathematics 2019-08-15 Florin Diacu

New experimental data are presented on the energy dependence of the total cross sections for the np -> d eta and quasi-two-body pp -> pp eta reactions, where the final diproton is detected at very low excitation energy. Differential cross…

Nuclear Theory · Physics 2010-12-17 Colin Wilkin

In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

Fluid Dynamics · Physics 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

Collisions of Bose-Einstein condensates can be used as a mean to generate correlated pairs of atoms. The scattered massive particles, in analogy to photon pairs in quantum optics, might be used in the violation of Bell's inequalities,…

Quantum Gases · Physics 2018-04-25 Pawel Zin , Tomasz Wasak

In this paper, the third in the series, we continue our study of combinatorics in chaotic Newtonian dynamics. We study the chaotic four-body problem in Newtonian gravity assuming finite-sized particles, and we focus on interactions that…

Solar and Stellar Astrophysics · Physics 2017-08-09 Nathan W. C. Leigh , Aaron M. Geller , Michael M. Shara , James Garland , Harper Clees-Baron , Alejandro Ahmed

The analytical generalization of the classical dynamical friction formula (derived under the assumption that all the field particles have the same mass) to the case in which the masses of the field particles are distributed with a mass…

Astrophysics of Galaxies · Physics 2015-05-18 Luca Ciotti

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

We clarify the subtle issue of finding the correct mapping of Newtonian simulations to light-cone observables at very large distance scales. A faithful general-relativistic interpretation specifies a gauge, i.e. a chart that relates the…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-17 Julian Adamek , Christian Fidler

In this paper, the dynamical equations and junction conditions at the interface between adjacent layers of different elastic properties for an elastic deformable astronomical body in the first post-Newtonian approximation of Einstein theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Chongming Xu , Xuejun Wu , Michael Soffel , Sergei Klioner

We present an insightful ``derivation'' of the Langevin equation and the fluctuation dissipation theorem in the specific context of a heavier particle moving through an ideal gas of much lighter particles. The Newton's Law of motion…

Statistical Mechanics · Physics 2007-05-23 Rangan Lahiri , Arvind , Anirban Sain

Recent general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids allow one to rederive, in the first post-Newtonian approximation, the well known geometric dragging of frames, and two new weak-field…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Patryk Mach , Edward Malec , Michal Pirog