Abstract

Presented in this work are the four fundamental cases involving the integration of relativistic velocity and acceleration composition principles made obvious by the two preceding millennium relativity works on velocity composition and acceleration composition. Through systematic analysis it is clearly demonstrated that the fundamental nature of unidirectional motion and acceleration is accurately definable in a newly introduced relativistic coordinate system. It is further shown that velocity composition is fundamentally a Y-axis consideration of this new coordinate system and acceleration composition is fundamentally an X-axis consideration. Taken together in their integrated form, the principles presented here provide the entire mathematical basis for all fundamental relativistic compositional behavior involving uniform motion and acceleration.