Derivation of Lorentz transformation. Special theory of relativity !!!

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Motion contains 2 variables. Those variables are speed and distance. If both variables are set to infinity, this means that one would go on forever across the infinite distance, since there is no end to it, and one would complete this endless trip in no time at all, since at an infinite speed obviously one crosses any distance in a zero time period. Thus time must go on forever from one point of view, while time is at a standstill from another point of view. And so, to make this possible, relativity was born. If one continues to follow this logical analysis of motion, one soon ends up independently deriving both the SR mathematical equations and the Lorentz transformation equations. So why it is that they don't teach this in schools, in a complete mystery to me.

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