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New Theories / Re: Length Contraction and Time Dilation Contradict the Constancy of Light Speed
« on: 09/08/2013 09:10:15 »
Frames K and K' have their origins O and O' coincident at time t=t'=0. Let x be the direction of motion of K' with respect to K the speed being v. A ray of light leaves the origin and propagates in the vertical direction y with speed C, as seen by an observer at rest in the K' frame. We have C = d'/t', where d' is the distance traveled in the time t'. The distance d' could be represented by a vertical rod of length d' = O'A'.
Another ray of light leaves the origin and propagates in the vertical direction y with speed C, as seen by an observer at rest in the K frame. We have C = d/t, where d is the distance traveled in the time t. The distance d could be represented by a vertical rod of length d = OA.
The vertical distances traveled, d and d', are equal in both K and K'. Since C = d'/t' then t’=d’/C. Since C = d/t then t=d/C. Since d=d’ then t’=d/C and t=d/C therefore, t’=t.
Since t’=t, then time is equal in both frame K and frame K’.
Another ray of light leaves the origin and propagates in the vertical direction y with speed C, as seen by an observer at rest in the K frame. We have C = d/t, where d is the distance traveled in the time t. The distance d could be represented by a vertical rod of length d = OA.
The vertical distances traveled, d and d', are equal in both K and K'. Since C = d'/t' then t’=d’/C. Since C = d/t then t=d/C. Since d=d’ then t’=d/C and t=d/C therefore, t’=t.
Since t’=t, then time is equal in both frame K and frame K’.