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The axiomatic definition of mass in classical mechanics, outlined by Mach in the second half of 19th century and improved by several authors, is simplified and extended to the theory of special relativity. According to the extended…

General Physics · Physics 2023-02-08 Enzo Zanchini , Antonio Barletta

Newton introduced the concept of mass in his {\it Principia} and gave an intuitive explanation for what it meant. Centuries have passed and physicists as well as philosophers still argue over its meaning. Three types of mass are generally…

General Physics · Physics 2012-01-19 J. L. Fry , Z. E. Musielak

In this article one aspect of the so-called '4/3-problem' is analyzed, namely definitions of the electromagnetic mass of the classical electron. It is shown that if the special relativity definition of the electromagnetic (EM) mass as the…

General Physics · Physics 2024-06-03 Vladimir Onoochin

In 1905, Einstein discovered the famous equation: E=mc^2, which means that the rest mass of a particle is some kind of energy. This energy is generally referred to as "rest energy", since the particle is believed to be at rest. This paper…

General Physics · Physics 2013-07-02 E. R. Cazaroto

The Standard Model (SM) ascribes the observed mass of elementary particles to an effective interaction between basis states defined without mass terms and a scalar potential associated with the Higgs boson. In the relativistic field theory…

General Physics · Physics 2022-02-01 M. Land

Following the basic idea expressed in [1], we assume that for any particle or body with mass M its own time t depends on therelative change \frac{\Delta M}{M} of that mass. Based on this assumption, one discusses possible existence of a…

Nuclear Theory · Physics 2007-05-23 Elmir Dermendjiev

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

We establish the classical wave equation for a particle formed of a massless oscillatory elementary charge generally also traveling, and the resulting electromagnetic waves, of a generally Doppler-effected angular frequency $\w$, in the…

General Physics · Physics 2015-06-26 J. X. Zheng-Johansson , P-I. Johansson

We try to understand how particles acquire mass in general, and in particular, how they acquire mass in the standard model and beyond.

High Energy Physics - Theory · Physics 2007-05-23 B. Hoeneisen

The cosmological constant combined with Planck's constant and the speed of light implies a quantum of mass of approximately 2 x 10^{-65}g. This follows either from a generic dimensional analysis, or from a specific analysis where the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul S. Wesson

In collider-based particle physics, $invariant\ mass$ refers to the magnitude of the total-momentum 4-vector of a system of particles. An expression for the invariant mass of a 2-particle system is well known; it assumes that both the total…

High Energy Physics - Phenomenology · Physics 2026-02-13 M. P. Fewell

The physical property of mass has two distinct aspects, gravitational mass and inertial mass. The weight of a particle depends on its gravitational mass. According to the weak form of the equivalence principle, the gravitational and…

General Physics · Physics 2007-05-23 Fran De Aquino

In this work we discuss different interpretations of mass in the relativistic dynamics. A new way to introduce mass is proposed. Our way is based on the relativistic equation of motion expressed in the form of the Newton$'$s second law. In…

Classical Physics · Physics 2018-03-22 V. A. Pletyukhov

In recent times there has been considerable interest in scenarios for quantum gravity in which particle kinematics is affected nonlinearly by the Planck scale, with encouraging results for the phenomenological prospects, but also some…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Giovanni Amelino-Camelia , Valerio Astuti , Michelangelo Palmisano , Michele Ronco

The qualitatively new concept of dynamic complexity in quantum mechanics is based on a new paradigm appearing within a nonperturbational analysis of the Schroedinger equation for a generic Hamiltonian system. The unreduced analysis…

Quantum Physics · Physics 2007-05-23 Andrei P. Kirilyuk

A measure of complexity based on a probabilistic description of physical systems is proposed. This measure incorporates the main features of the intuitive notion of such a magnitude. It can be applied to many physical situations and to…

Chaotic Dynamics · Physics 2009-11-07 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

We consider the motion of a large number of heavy particles in a Newtonian fluid occupying a bounded spatial domain. When we say "heavy", we mean a particle with a mass density that approaches infinity at an appropriate rate as its radius…

Analysis of PDEs · Mathematics 2024-07-12 Marco Bravin , Eduard Feireisl , Arnab Roy , Arghir Zarnescu

The electrovacuum around a rotating massive body with electric charge density is described by its multipole moments (mass moments, mass-current moments, electric moments, and magnetic moments). A small uncharged test particle orbiting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Theocharis A. Apostolatos , Thomas P. Sotiriou

A major consequence of special relativity, expressed in the relation $E_0 = m c^2$, is that the total energy content of an object at rest, including its thermal motion and binding energy among its constituents, is a measure of its inertia,…

Classical Physics · Physics 2015-06-23 Claudio O. Dib

Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non…

High Energy Physics - Theory · Physics 2015-04-17 Denis Comelli , Fabrizio Nesti , Luigi Pilo