"Relativistic" particle dynamics without relativity
arXiv:1512.01439 · doi:10.1119/1.5049812
Abstract
It is shown that the correct expressions for momentum and kinetic energy of a particle moving at high speed were already implicit in physics going back to Maxwell. The demonstration begins with a thought experiment of Einstein by which he derived the inertial equivalence of energy, independently of the relativity postulates. A simple modification of the same experiment does the rest.
5 pages, 1 figure