Re: The relativity of simultaneity




"bill" <cosmosco@xxxxxxxxxxxxxxx> wrote in message
news:0d32297c-48e7-4961-b5a1-6e680498282d@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
: Regarding Einstein?s train gedanken depiction of the Relativity of
: Simultaneity.

: In ?Relativity the Special and General Theory? Einstein points out
: that from the stationary observer?s point of view (M) flash B (toward
: which the train is moving) will reach the passenger before flash A.

Ok, in the case of two simultaneous flashes (at each side of the train)
according to two observers M and M' near or in the middle of the train at
the time of the flashes (note that that will be so according to *any*
stationary observer; it's just that the two flashes will arrive at M at the
same time).

A-----------------B
-> train

: Will flash B arrive at the passenger?s location at the same point
: relatively to the platform as seen by the stationary observer?

Sure - that is called an event. Events cannot differ between views, as that
would lead to contradictions: everyone must agree on what locally happens
(the simulateneity problem is only about distant events).

: I.e. if there is a second stationary observer (S) located at the point
: where, according to M, flash B arrives at the passenger?s location
: will the passenger see flash B when he is at the same location as S?

Yes, that's even a way to verify that statement. Note that that "when"
refers to measurements in the stationary system (you could write it t1, to
distinguish it from the passenger's time t1'). And of course, all this will
only work if the passenger doesn't use the stationary system time keeping
but made a recalibration for the moving system.

Regards,
Harald


.



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