Rethinking Time Dilation: Unveiling the Nuances of Special Relativity Through Clock Placement

This article points out the mistake in a Time dilation calculation in the special theory of relativity by explaining difference between time value in relation to origin of the primed reference frame compared to time value in relation to point P where clock is placed. It is explained in the article that for the two different situation A and B there are difference in the time dilation equations. Equation in the situation A is not a general form, while equation in the situation B can be considered as a general form. Here situation A is a situation when clock is placed on the origin of the cartesian plane attached to S' frame and situation B is the situation when clock is placed at some point randomly selected toward positive X axis of the S' frame. The equation of time dilation in general situation is the correct and whole expression of time dilation and not the restricted equation for the situation A. This general equation for the time dilation shows dependency on the direction of the velocity "v", So, that will also show time contraction instead of time dilation when S' will move toward negative X axis in Situation B. So, this not only shows a mistake in calculation of the time dilation, but this just refute the special relativity theory by showing time contraction!