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I am going to analyse the situation in which, in the transformation
t' = px + qt,
the coefficient p is different from zero. This assumption leads to such
a chaos in the time variation between the two inertial systems that the
argument leading to this chaos amounts to redictio ad absurdum.
Therefore p = 0 is the only reasonable solution to the problem.
1/gamma
and then
x' = (1/gamma)(x - vt) /14/
t' = (1/gamma)t /15/
If time dilation is an unreliable experimental finding, we substitute a
1 and return to Galilean transformations.