Authors: Andrew Banks
Assume the standard configuration under Special Relativity (SR) and a light pulse is emitted when the origins of two coordinate systems are common. Further assume v = .6c and that the spherical light wave (SLW) has attained the unprimed coordinated (2ls,10ls,0) where ls is the distance light travels in 1 second. Then t1 = √104s and using LT, ( x'1 1.25(2-.6√104) ,10 ,0) x1 = - ls . Since x1 > and x'1 < , both frames agree along the line y = 10 the SLW is in between the two origins. According to nature, the SLW will propagate further. So, assume that condition. Both frames conclude, along the line y =10 , any further propagation of the SLW must place the SLW further from its own origin assuming the light postulate in its frame. A valid question to propose is, by considering coordinates only with y =10 and z = 0 , where will the SLW move to after further propagation? If both frames agree the SLW must move further from the respective origin, and the SLW is in between the two origins, then the SLW must move two different directions along the line y = 10 to satisfy the SR conditions of each frame. Based on this fact, it will be proven in the context of either frame, after further propagation of the SLW, Lorentz transformations (LT) will contradict the light postulate in the target frame.
Comments: 4 pages
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