On special relativity: Root cause of the problems with Lorentz transformation

In this paper the Lorentz Transformation is shown to be merely a set of restricted equations stemmed from the Galileo transformation applied to a particular conversion reflecting the theorized principle of the speed of light invariance implemented in the direction of the relative motion between the inertial reference frames. Consequently, the Lorentz transformation is shown to be restricted to time and longitudinal space coordinate values different from zero. The deduction of the time dilation and length contraction becomes unfeasible under such restrictions. It follows that the Lorentz transformation possesses no other effects than mathematically expressing the speed of light postulate in the relative motion direction; that is, the coordinate of the tip point of a light ray traveling in the direction of the relative motion, given by x=ct in the “stationary” frame, is transformed to x'=ct' with respect to the “traveling” frame, with c being the light speed in empty space. Furthermore, the application of the Lorentz transformation to events having restricted coordinates is shown to result in mathematical contradictions.