A Mathematical Contradiction in the Special Theory of Relativity

In this study, we critically examine one of the foundational postulates of the special theory of relativity – the invariance of light’s velocity across different frames of reference. Through a straightforward, one-dimensional analysis inspired by historical astronomical observations, we uncover a mathematical inconsistency arising from the simultaneous application of light-speed invariance, relativistic time contraction, and space contraction as posited by Einstein’s theory. This contradiction, highlighted by examining the collision between a photon and a moving object, invites a reevaluation of the underlying principles of special relativity. By elucidating this inconsistency, our work challenges the orthodoxy of relativistic velocity composition, suggesting a return to classical mechanics’ simpler vector addition rule might be necessary. This research not only contributes to the ongoing dialogue questioning the absolute nature of light speed but also underscores the potential need for a paradigm shift in our understanding of physics, with profound implications for future theoretical and experimental inquiries.