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The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this manuscript we consider the Lagrangian of the Standard Model as…

Differential Geometry · Mathematics 2026-05-12 Volker Branding , Adam Lindström , Marko Sobak

We study the influence of relativity on the chaotic properties and dynamical outcomes of an unstable triple system; the Pythagorean three-body problem. To this end, we extend the Brutus N-body code to include Post-Newtonian pairwise terms…

Instrumentation and Methods for Astrophysics · Physics 2021-10-27 Tjarda C. N. Boekholt , Arend Moerman , Simon F. Portegies Zwart

The phenomenon of resonant energization of a relativistic quantum particle, moving in unison with an intense ElectroMagnetic Wave, is demonstrated in a semiclassical calculation. The wave nature of the quantum particle is of essence because…

High Energy Astrophysical Phenomena · Physics 2019-10-21 Swadesh M. Mahajan

A relativistic self-gravitating equilibrium system with steady flow as well as spherical symmetry is discovered. The energy-momentum tensor contains the contribution of a current related to the flow and the metric tensor does an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Shuichi Yokoyama

In this work we show that a relativistic spinning particle can be described at the classical and the quantum level as being composed of two physical constituents which are entangled and separated by a fixed distance. This bilocal model for…

High Energy Physics - Theory · Physics 2017-05-17 Trevor Rempel , Laurent Freidel

The relativistic Lagrangian in presence of potentials was formulated directly from the metric, with the classical Lagrangian shown embedded within it. Using it we formulated covariant equations of motion, a deformed Euler-Lagrange equation,…

Mathematical Physics · Physics 2018-04-04 Sumanto Chanda , Partha Guha

We propose a gravitational theory in which the effective Lagrangian of the gravitational field is given by an arbitrary function of the Ricci scalar, the trace of the matter energy-momentum tensor, and the contraction of the Ricci tensor…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

A new method in which the energy and mass of elementary particles can be calculated is presented. Gluon gluon interactions within a single elementary particle are considered, and the number of possible interactions per particle is…

General Physics · Physics 2025-03-20 Borros Arneth

Elementary particles, i.e. the basic constituents of nature, are characterized by quantum recurrences in time. The flow of time of every physical system can be therefore decomposed in elementary cycles of time. This allows us to enforce the…

Quantum Physics · Physics 2013-09-09 Donatello Dolce

This paper presents an intuitive, geometrical derivation of the relativistic addition of velocities, and of the electromagnetic interaction between two uniformly moving charged particles, based on 2 spatial + 1 temporal dimensional…

Classical Physics · Physics 2025-04-29 Calin Galeriu

We take causality and uniqueness of events observation as our driving forces. They are built in in the way we define distinct observers, which then require a finite time to communicate between each other. This unavoidably leads to the…

General Physics · Physics 2026-04-09 Antonio Pineda

A zone of reactions is determined and then exploited as a tool in studying the space-time structure of an interacting system formed in a collision of relativistic nuclei. The time dependence of the reaction rates integrated over spatial…

Nuclear Theory · Physics 2015-07-28 Dmitry Anchishkin , Anton Muskeyev , Stanislav Yezhov

We derive the radiation reaction by taking into account that the acceleration of the charge is caused by the interaction with some heavy source particle. In the non relativistic case this leads, in contrast to the usual approach,…

Classical Physics · Physics 2014-03-20 Dieter Gromes , Eduard Thommes

We study the action and the dynamics of a relativistic particle, uncharged or charged, in multiscale spacetimes. Invariance under reparametrizations and Poincar\'e symmetries uniquely determine the action and the line element to be the…

Mathematical Physics · Physics 2013-09-05 Gianluca Calcagni

It is shown that the force in relativistic mechanics is not only the cause of acceleration of particle relative to an inertial frame of reference, but also the cause of change of the course of time along the particle's trajectory. Therein…

General Physics · Physics 2007-05-23 V. P. Oleinik

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët

The dynamics of particles moving in a medium defined by its relativistically invariant stochastic properties is investigated. For this aim, the force exerted on the particles by the medium is defined by a stationary random variable as a…

Quantum Physics · Physics 2009-11-11 Alejandro Cabo-Bizet , Alejandro Cabo Montes de Oca

Matter has two physical properties: Inertia and interaction. If we define the center of mass of an elementary particle in relation to its inertia, and a center of interaction in relation to its interactive properties, there are only two…

Classical Physics · Physics 2026-03-17 Martin Rivas

Soluble model of a relativistic particle describing a bag of matter with fixed radius held together in perfect balance by a self-consistent combination of three forces generated by electromagnetic and massive scalar and vector fields is…

Nuclear Theory · Physics 2011-07-19 Iwo Bialynicki-Birula

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip