Suppose there is a stick moving at high velocity (close to the speed of light or at least high enough for relativistic consideration). The stick is 1m long, it's velocity is constant and it is moving on a perfectly flat surface.

Now suppose it approaches a hole also 1m wide.

In the stick's frame of reference it is standing still and the hole is moving towards it at constant speed, due to the laws of relativity the length of the hole will contract making the stick longer than the hole thus allowing it to pass straight over.

In the hole's frame of reference the opposite is true and so the stick contracts making it fall through the hole.

Obviously both cannot be true so what is the outcome of this situation?

NB it's been a while since my relativity days and I've done this fairly quickly so please excuse any technical errors in this post. The general problem though is genuinely from a book on relativity and does have an accepted solution.

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Suppose there is a stick moving at high velocity (close to the speed of light or at least high enough for relativistic consideration). The stick is 1m long, it's velocity is constant and it is moving on a perfectly flat surface.

Now suppose it approaches a hole also 1m wide.

In the stick's frame of reference it is standing still and the hole is moving towards it at constant speed, due to the laws of relativity the length of the hole will contract making the stick longer than the hole thus allowing it to pass straight over.

In the hole's frame of reference the opposite is true and so the stick contracts making it fall through the hole.

Obviously both cannot be true so what is the outcome of this situation?

NB it's been a while since my relativity days and I've done this fairly quickly so please excuse any technical errors in this post. The general problem though is genuinely from a book on relativity and does have an accepted solution.

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