Generalized Lorentz Coordinate Transformation

This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value in any inertial coordinate systems is removed. This leads to some interesting conclusions and possible new interpretations of the Special Relativity Theory. INTRODUCTION The Special Relativity Theory (SRT) is one of the fundamental theories of modern physics with applications in many branches of science starting from the Solid State Physics, Chemistry, Optics, to Quantum Physics etc. The everyday use of the GPS navigation system, which is also firmly based on SRT and in particular on the Lorentz Coordinates Transformation (LCT) , confirms its validity. With increasing accuracy of modern instrumentation the theory can be considered verified many times over to a high degree of accuracy. Thus it seems that the SRT is complete and that nothing new can be added to it even though the interpretation is still somewhat mysterious. In this paper a possible generalization of the LCT is presented with similar conclusions as in the Edward’s theory [3] that can be used to improve our understanding and interpretation of SRT. The LCT can be derived from a simple assumption that the speed of light is constant and independent of inertial motion of either the source of the light or the observer. The independence on the speed of the light source is easily understandable by assuming that the light is propagating in a medium, aether, where the * [email protected] 11/11/2007 Copyright © Jaroslav Hynecek