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Oh I agree that SR should deal with the case you describe,
simple to decide which way to apply the time dilation
interval can be considered "proper".
The proper time interval between two
events in a given reference frame must be measured with one clock only,
the two events must occur at the same place in that reference frame.
proper time will always be shorter than the delta t for the same pair of
events measured in a different frame.
therefore probably unsuitable as a thought experiment designed to clarify
the situation)
At 10:18 29/04/03 +0200, Pentcho Valev wrote:
I think the only reasonable
criticism of my solution should consist in offering a solution proving
that x/t = x'/t'.
There is a version which could be a thought experiment and
which unequivocally shows that the speed of light is not
constant. In the rest (railway) frame the beam approaches
the train at a right angle so that, in the train frame, it
moves obliquely. Consider two events - the beam entering the
train and the beam leaving the train - registered in both
frames. Obviously x < x', where x is the distance the beam
travels between the two events in the rest frame and x' is
the respective distance in the moving frame.
measured in the rest frame for the travel x is t, and that
measured in the moving frame for the travel x' is t'. If
there is time dilation, t' < t and, accordingly, c = x/t <
x'/t' = c'