Volume 21: Pages 285-287, 2008
The missing lines of calculations in Einstein’s derivation of the Lorentz transformation
Albert G. Gluckman 1
1Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA
The answer to the question of exactly how the young Einstein derived his coordinate transformations is the subject of this study. Surprisingly, much had been omitted in the publication of his first work on special relativity in which he first develops a partial differential equation whose solution is the τ time coordinate transformation, where τ=τ(x′,t), and x′=x−vt. He used this τ function to find the ξ coordinate transformation where ξ=cτ.
Keywords: Lorentz Transformation, Einstein Time Transformation Derivation, Special Relativity Coordinate Transformations, Contraction Factor Derivation Following Einstein, Retracing the Methods Used by Einstein, Einstein’s 1905 Differential Equation Derivation with Time τ Solution, Taylor Series Role in Einstein’s Derivation of Lorentz Transformation, Special Relativity, Uniform Motion Transformation, Einstein’s Use of Moving Mirror Light Reflection and Clocks
Received: December 12, 2007; Accepted: November 1, 2008; Published Online: February 6, 2009