It can look dumb, but I always had this question as a kid, what physical principles would prevent this?
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your atomically synchronized wristwatch has slowed down and stopped counting time.
Wait, surely time would move at a normal speed within your own reference frame. The act of you walking to the front of the inner-most train you are in would be a normal occurence to you, but if you looked out of the window you would see a completely frozen scene.
Only once you measure time afterwards with an observer would you notice the gaping time difference.
You are correct, I should have said there was an atomic clock out the window that the walker looked out at.
