@maxdancona,
Quote:according to what you have written, the person who is motionless will see the correct version of which lightening bolt hits first (or whether they hit at the same time).
No, that's not what I'm saying. You're misinterpreting it. I said
1. ONE, and only one in this example is "truly moving" with respect to the earth. That is the guy on train. The guy on the earth is "truly" motionless, with respect to the earth.
2. I have already explained at some length (as though it needs explaining) why we say he is the one who has accelerated. To deny it, we would also have to deny virtually every known law of physics.
3. The the guy on the trains ALSO KNOWS he's moving wrt the earth. So, to correct for his OWN KNOWN motion he must put him self back into the earth frame for time and distance purposes (but not speed). If there is other known motion that he then shares with the earth, then they can BOTH correct for that.
4. The question here is not "who's correct" on a universal scale, i.e., who is ABSOLUTELY moving. That can't be known. It is senseless to keep bringing the notion up. The question is simply who has changed his velocity by accelerating? The guy on earth, or the guy on the train?
It is the guy on the train.
The POINT is that once he makes those necessary and proper adjustments to his "measurements" (as you call them) they will AGREE, not DISAGREE, about what is, and what is not, "simultaneous."
THAT'S the point of this example. Nothing else in particular.