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Newton second law of dynamics is a law of motion but also a useful definition of force (F=MA) or inertial mass (M=F/A), assuming a definition of acceleration and parallelism of force and acceleration. In the special theory of relativity,…

History and Philosophy of Physics · Physics 2021-04-20 Grzegorz M. Koczan

It is shown that gravitational nature of inertial mass (Mach principle) agrees with idea of interaction of gravitational and electromagnetic forces and does not contradict the laws of classical mechanics. According to the simple…

General Physics · Physics 2008-06-05 Alexander L. Dmitriev

One of the most widespread interpretations of the mass-energy equivalence establishes that not only can mass be transformed into energy (e.g., through nuclear fission, fusion, or annihilation) but that every type of energy also has mass…

General Physics · Physics 2024-08-27 Germano D'Abramo

In this talk I will focus on theoretical issues related to high precision determinations of the top mass. Several mass definitions are reviewed and their respective advantages and disadvantages are discussed. Precision determinations of the…

High Energy Physics - Phenomenology · Physics 2015-05-05 Stefan Weinzierl

The center of mass and spin for isolated sources of gravitational radiation that move at relativistic speeds are defined. As a first step, we also present these definitions in flat space. This contradicts some general wisdom given in…

General Relativity and Quantum Cosmology · Physics 2020-01-15 C. N. Kozameh , J. I. Nieva , G. D. Quiroga

As has been shown before (a brief comment will be given in the text), relativistic mass and relativistic time dilation of moving bodies are equivalent as well as time and mass in the rest frame. This implies that the time dilation due to…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

We study the acceleration and collisions of rigid bodies in special relativity. After a brief historical review, we give a physical definition of the term `rigid body' in relativistic straight line motion. We show that the definition of…

General Physics · Physics 2015-05-28 Jerrold Franklin

A critical analysis of the relativistic formulation of matter reveals some surprising inconsistencies and paradoxes. Corrections are discovered which lead to the long-sought-after equality of the gravitational and inertial masses, which are…

General Physics · Physics 2012-07-18 Ram Gopal Vishwakarma

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

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

The classical notion of center of mass for an isolated system in general relativity is derived from the Hamiltonian formulation and represented by a flux integral at infinity. In contrast to mass and linear momentum which are well-defined…

Differential Geometry · Mathematics 2011-01-04 Lan-Hsuan Huang

Following a quantum-gravity approach we use a gravitational quantum defined elsewhere as well as an effective gravitational "cross section" in conjunction with Mach's Principle and the de Broglie wavelength concept. We find the speed of…

Astrophysics · Physics 2007-05-23 Antonio Alfonso-Faus

The continuous limit of large systems of particles of finite size on the line is described. The particles are assumed to move freely and stick under collision, to form compound particles whose mass and size is the sum of the masses and…

Mathematical Physics · Physics 2009-11-11 Gershon Wolansky

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

Classical Physics · Physics 2015-05-30 Anatoli Babin , Alexander Figotin

The definition of mass of a scalar field in a curved space has often been generalized by grouping coupling terms between the field and the Ricci curvature with non-curvature-related mass terms. In a broader point of view, one sees that a…

Classical Physics · Physics 2009-10-31 V. Faraoni , F. I. Cooperstock

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 equality of the inertia and the gravitational mass of a body is explained in a very general manner. We also motivate this explanation by providing analogous examples

General Physics · Physics 2010-05-18 Sanjay M Wagh

A study of kinematics of a 2-body system is used to show that the Mach principle, previously rejected by general relativity, can still serve as an alternative to the concept of absolute space, if one takes into account that the background…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Andrew E. Chubykalo

In analysing fluid forces on a moving body, a natural approach is to seek a component due to viscosity and an `inviscid' remainder. It is also attractive to decompose the velocity field into irrotational and rotational parts, and apportion…

Fluid Dynamics · Physics 2019-10-29 W R Graham

This work considers the cospectral and arbitrary light emission of a moving source. The observed wavelengths of the emitted photons are described in term of kinematic and dynamical Doppler shifts in which the mass-energy relation plays a…

Classical Physics · Physics 2020-09-07 Ademir Xavier