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west-river

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In Einstein's thought experiment with moving train and embankment: If there is an observer in the middle of one of the train cars and one light beam is flashed from inside each side of the car (same location on each sides) towards the observer in the middle between them, will the beams arrive to the observer (that is to the midpoint of the car) at the exact same time? That is, does the movement of the train effect whether the two beams arrive at the same time? If the two beams are on the embankment, one will arrive at the midpoint of the car earlier than the other? Is it the same if the two beams come from within the car?

Thanks