Uploaded December 2018 | Updated September 2026, 12 hours ago
At first glance, it seems as though paradoxes, or contradictions, arise in special relativity. One of these is known as the train (or ladder) paradox and comes from the introduction of length contraction. As a train passes through a tunnel, the two reference frames (train's and tunnel's) experience very different events. If we rely on our classical intuition, it seems that two different realities unfold in the two different reference frames. But how can this be? As it turns out, we can use the Lorentz transformations to show that there is nothing wrong with special relativity, and the problem lies with our intuition.
At first glance, it seems as though paradoxes, or contradictions, arise in special relativity. One of these is known as the train (or ladder) paradox and comes from the introduction of length contraction. As a train passes through a tunnel, the two reference frames (train's and tunnel's) experience very different events. If we rely on our classical intuition, it seems that two different realities unfold in the two different reference frames. But how can this be? As it turns out, we can use the Lorentz transformations to show that there is nothing wrong with special relativity, and the problem lies with our intuition.










![What is the Smallest Thing Possible? [ft. Everything Science]
Check out our video over on Everything Sciences channel: https://www.youtube.com/watch?v=tg1OAti1hFU
Things in our universe are get really small. So small that the sizes very quickly become unimaginable. Asking what the smallest thing that we know of is is an interesting question to consider. But an even more interesting question is what the smallest thing possible is. The answer blends together quantum mechanics, special relativity, and general relativity in an incredible way.
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