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A Brute-Force Challenge to Einstein's 1905 Derivation Reveals a Mathematical Inconsistency in the SRT Time Transformation Equation

Steven Bryant
Year: 2007
Keywords: Error analysis, SRT
Einstein's Special Relativity Theory (SRT) defines four transformations equations that are generally accepted as resulting from mathematically correct derivations. In this paper, we re-examine Einstein's 1905 paper and perform a brute-force analysis of the Xi transformation, revealing a specific algebraic problem in its derivation. The difficulty in identifying and communicating this problem will be explained since the problem does not manifest itself in the validity of the Xi equation, but rather in the validity of the Tau equation. Specifically, the problem manifests itself as an incorrect numerator in the SRT Tau equation. Once the root cause is identified and Tau is corrected, the resulting system of equations will require that the theoretical underpinnings of SRT be re-examined.