**Title**

A Brute-Force Mathematical Challenge to Special Relativity

**Summary**

This paper uses real values to illustrate the problem with Einstein’s 1905 derivation of the Xi (or X-axis) transformation equation. It also discusses the root cause of the problem and why it has been an illusive problem to uncover.

**Abstract**

Einstein’s 1905 derivation of Special Relativity Theory (SRT) defines four transformation equations that are generally accepted as resulting from mathematically correct derivations. This paper mounts a brute-force challenge to Einstein’s derivation and reveals a mathematical inconsistency in the SRT time transformation equation. Specifically, the brute-force analysis of the ξ (Xi) transformation reveals a specific algebraic problem in its derivation. The difficulty in identifying and communicating this finding is that the problem does not manifest itself in the validity of the ξ equation, but rather in the validity of the τ (Tau) equation. Once the root cause is identified and τ is corrected, the resulting system of equations will require that the theoretical underpinnings of SRT be re-examined.

**Status**

- Created: April 2007
- Last Revised: December 2007
- Publication Status: NPA 2007 Conference Proceedings, May 2008