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In this paper, we introduce a new concept of rapidity and define formulae for energy and momentum as functions of the new rapidity, we denominate "counter-rapidity". The correspoding velocity is measured from the state of light speed in…

Mathematical Physics · Physics 2009-05-05 Robert M. Yamaleev

It is generally assumed that any discrepancy between an object's inertial and gravitational masses, leading to a violation of the equivalence principle, arises from the nature of its internal constituents and their interactions. We show…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Saurya Das , Mitja Fridman , Sourav Sur

We discuss the classical motion of a spring of arbitrary mass coupled to two arbitrary massive blocks attached at its ends. A general approach to the problem is presented and some general results are obtained. Examples for which a simple…

Classical Physics · Physics 2013-04-18 F C Santos , Y A Coutinho , L Ribeiro-Pinto , A C Tort

Gravitational force manifested in its affect on rotational velocity is what indicates the presence of dark matter in individual galaxies. Newtonian mechanics is generally used to derive the relationship between rotational velocity and…

General Physics · Physics 2007-05-23 D. M. Snyder

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided…

High Energy Physics - Theory · Physics 2016-05-27 Philippe Droz-Vincent

The constants of motion of the following systems are deduced: a relativistic particle with linear dissipation, a no-relativistic particle with a time explicitly depending force, a no-relativistic particle with a constant force and time…

Classical Physics · Physics 2011-08-19 G. López , L. A. Barrera , Y. Garibo , H. Hernández , J. C. Salazar , C. A. Vargas

The law of balance of angular momentum is shown to imply the existence of absolute time, a fundamental physical quantity that is independent of the motion or position of the observer. Absolute time implies the notion of absolute…

General Physics · Physics 2023-03-29 A. Paglietti

It was thought that the van der Waals force and gravitational force were distinct. Now a model is used to describe the attraction between macroscopic objects according to van der Waals interaction. The force between two objects with thermal…

General Physics · Physics 2013-03-18 Lei Zhang

In these lectures I describe some of the open questions in the standard model relating to the nature and origin of mass, forces and matter and discuss some of the speculative theoretical ideas put forth in this regard. Some of the topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roberto Peccei

It is pointed out that at present we only prove that inertial static mass and gravitational static mass are equivalent. We have not proved that inertial moving mass and gravitational moving mass are also equivalent. It is proved by the…

General Physics · Physics 2007-05-23 Mei Xiaochun

In 1901 the third Conference Generale des Poids et Mesures (CGPM) defined the weight of a body as ``the product of its mass and the acceleration due to gravity". In practical terms the weight force corresponds to the gravitational force.…

Physics Education · Physics 2007-05-23 J. M. L. Figueiredo

The temperature of a mechanical body has a kinetic interpretation: it describes the relative motion of particles within the body. Since the relative velocity of two particles is a Lorentz invariant, so is the temperature. In statistical…

Classical Physics · Physics 2019-02-15 Nikodem Popławski

The relativistic Maxwell-Boltzmann distribution for the system of $N$ events with motion in space-time parametrized by an invariant ``historical time'' $\tau $ is considered without the simplifying approximation $m^2\cong M^2$, where $M$ is…

High Energy Physics - Phenomenology · Physics 2009-10-22 L. Burakovsky , L. P. Horwitz

We study the motion of the system, S, constituted by a rigid body, B, containing in its interior a viscous compressible fluid, and moving in absence of external forces. Our main objective is to characterize the long time behavior of the…

Analysis of PDEs · Mathematics 2019-01-30 Giovanni Paolo Galdi , Václav Mácha , Šárka Nečasová

In gauge theories, the mass of a field has been regarded as a purely on-shell concept: the pole mass is gauge-invariant, but the off-shell propagator has had no gauge-invariant definition of mass. We show that renormalization defines a…

High Energy Physics - Theory · Physics 2026-04-07 Kang-Sin Choi

We give an account of some recent development that connects the concept of mass in general relativity to the geometry of large Riemannian polyhedra, in the setting of both asymptotically flat and asymptotically hyperbolic manifolds.

Differential Geometry · Mathematics 2021-03-09 Pengzi Miao

The behavior of mass is well known, as described by Newton's Laws of Motion, the Lorentz Contractions, and Einstein's mass - energy equivalence. But just what mass is, how those behaviors come about, what in material reality produces the…

General Physics · Physics 2007-05-23 Roger Ellman

The study of the evolution of the dynamics of a massive or massless particle shows that in special relativity theory, the energy is not conserved. From the law of evolution of the velocity over time of a particle subjected to a constant…

Classical Physics · Physics 2019-03-22 Jean-Paul Caltagirone

Both massless and massive gravity are derived from descent equations (Wess-Zumino consistency conditions). The massive theory is a continuous deformation of the massless one.

High Energy Physics - Theory · Physics 2008-11-26 D. R. Grigore , G. Scharf

The classical concept of "mass density" is not fundamental to the quantum theory of matter. Therefore, mass density cannot be the source of gravitation. Here, we treat electromagnetic energy, momentum, and stress as its source. The…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Kenneth Dalton