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Situation: On observer (A) is "at rest" and another observer (B) is in a reference frame moving with respect to observer (A). Assume that when an observer (B) in the moving reference frame is directly across from the "at rest" observer (A), he sees lightning strike at each end of the car in which he is riding, flash at the same time. What will the observer (A) who is "at rest" see? (assume that the distance between the lightning on the left side of observer (B) and observer (B) is equivalent to the distance between the lightning on the right side of observer (B) and observer (B) )

Based on simultaneity I would say that the observer (A) who is at rest would see one of two scenarios:

1. From the reference frame of observer (A): If observer (B) is moving left of observer (A), observer (A) will see lightning to the right of observer (B) strike first followed by the striking of the lightning to the left of observer (B).

2. From the reference frame of observer (A): If observer (B) is moving right of observer (A), observer (A) will see lightning to the left of observer (B) strike first followed by the striking of the lightning to the right of observer (B).

Does this reasoning seem correct? Both observers will also suspect that the other's clocks are incorrect too.

TIA!