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Koczan, G.M. (2020) Defining the Three-Dimensional Acceleration and Inertial Mass Leading to the Simple Form F = MA of the Relativistic Motion Equation. arXiv: 1909v3 [physics-hist-ph]

has been cited by the following article:

• TITLE: A Classical Explanation for Relativistic Longitudinal and Transverse Mass Increase

  AUTHORS: Declan Traill

  KEYWORDS: Special, Relativity, Classical, Physics, Relativistic, Mass, Longitudinal, Transverse, Inertia, Component, Increase, Standing Wave, Equivalence, Condensed, Matter

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.8, August 11, 2021

  ABSTRACT: In this paper, I show that the Special Relativistic effect of mass increase that occurs within objects when they move at high speed can be explained using Classical Physics principles. In my analysis, the wave nature of condensed matter and energy/mass equivalence are taken into consideration. The wave nature of particles is modelled as the particle structure comprising three-dimensional standing waves. When this is done, the difference in the energy sum of the component waves that comprise a particle moving at a high speed, when compared to those of a stationary particle, completely accounts for the mass increase. Furthermore, the additional momentum of the wave components in the direction of motion (the Longitudinal direction) is the cause of the inertia, or effective mass, of the object being greater than that in the Transverse direction (orthogonal to the direction of motion).