On the Application of Lorentz Transformation Equations to Light Speed Problems

One of the problems among supporters and opponents of the special relativity theory is the lack of rigorous and consistent application of Lorentz transformation equations to debated light speed problems. The arguments in many cases are intuitive, lacking mathematical rigor, causing endless debates and confusions. Even relativists are usually seen to be confused regarding, for example, the time delay of a short light pulse for an observer moving at non-relativistic speeds relative to the light source. Strict and consistent application of the Lorentz transformation equations is necessary, whether to decisively refute or to defend the claims of the theory. In this paper, we present a rigorous application of Lorentz transformation equations to some light speed problems, with the aim of demonstrating the approach to be used for similar problems.