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We also can do otherwise. It is best to define simultaneity so that itIf I could send a sound along a metal bar from here to the moon (a bar 3.10^8m long for example). The sound itself would not be constant according to the longitudinal direction of travel.
can be used for the construction of the time coordinate of a coordinate
system. If we can find a signal that has the same speed in all directions
we can use that. For example, sound in a metal bar that is stationary
with respect to the coordinate system being constructed.
Mikko
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