Hoping someone can help me understand the time clock thought experiment. The normal version of the experiment has the clock on the train and observer on the platform. The experiment concludes that the passage of time is slowed down on the train from the perspective of someone on the platform. I've understood it so far.
But if we consider the experiment in reverse (observer on train watching clock on platform), wouldn't we reach the conclusion that time is slower on the platform from the perspective of the observer on the train? If time slowed down in both locations from the perspective of the other then there is no difference in elapsed time in when the two locations come together? Help!