**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 t_{1} = √104s and
using LT, ( x'_{1} 1.25(2-.6√104) ,10 ,0) x_{1} = - ls .
Since x_{1} > 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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[v1] 1 Sep 2011

[v2] 21 Sep 2011

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