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Thank you Mike for finally bringing up the issue that continually
confuses begining students precisely because it is so obvious to us
professionals that we can't even see it. Michael Edmiston gave a
wonderfully clear explanation of the importance of thinking
in terms of
events and the intervals between them. But even he says:
...see what Jane records for this event. She
records x=-6.19x10^8 meters and t=2.29 minutes.
No she doesn't. She isn't at x=-6.19e-8 meters where the flash occurs
(using Michael's clarifying strobes). It takes time for the flash to
reach her. Bright students immediately see this and get (rightly!)
confused.
I always told my students to imagine each reference frame to be
absolutely packed with observers.