The “paradox” is about length shortening when moving at a high speed. The pole would be too long to fit in the barn when stationary but if the pole is moving at a high speed its length is apparently shortened so it could fit in the barn with both doors closed. The problem is that space is actually shortened when something is moving at a high speed so the barn itself would also appear to be shortened not just the pole. This preserves the observation of the length of the pole from any frame of reference.
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