Complementary Special Relativity Theory and Some of Its Applications

Abstract

This article introduces a mathematical model for the Complementary Special Relativity Theory (CSRT) in relation to Einstein’s Special Relativity Theory (SRT). The CSRT is technically derived following criterion of the logical independence of the Einstein’s postulates. The epithet ”Complementary” was selected in order to distinguish the CSRT theory from alternative theories. The mission of the CSRT is not to replace the Einstein’s Special Relativity. Both of them must coexist and must have physical applications. Forasmuch as the CSRT postulates do not embody constant velocity of the light by the Einstein’s way, the CSRT need not have 4-dimensional symmetry of the Lorentz and Poincare group. Existence of the CSRT transverse Doppler eect formula and the time dilation formula for moving clocks, which are different from Einstein’s, are crucial moments of the new theory. Moreover, the article demonstrates some physical applications of the CSRT on the John D. Anderson’s discovery of a quasi