Category:
Research Papers
Sub-Category:
Relativity Theory
Date Published:
September 15, 2022
Abstract:
Einstein's 1905 paper1 is of singular importance because he here tries to derive the relativistic effect, the reciprocal Lorentz Factor (LF), from the pathlength equations of Newtonian mechanics. This procedure makes the relation between SR error(s) and the LF transparent. Although he investigates rays in different directions2, the t equation in the full set is that for rays along the X-axes only (y,y',z,z'=0). Nevertheless, even for the simple case of the ray in the positive direction of the X-axes, any attempt to refute Einstein's proof of the LF seems to involve one in wearisome algebra. I show here how the "algebra" can be simplified to a surprising extent, thus revealing in a few simple steps how the factor arises, and how the SR "proof" (in the identity transformation) appears to succeed: .../...
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