Originally posted by gurnemanz
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Consider two physicists measuring the distances between pairs of points on the surface of their world. They do this by measuring the shortest time it takes them to move from one point to another. They know their speeds, so they can work out the distances. The world is an apple, and one physicist is an ant while the other is a maggot. The ant moves much faster than the maggot, but for short distances their results agree within experimental error. As they move to measuring longer distances their results diverge, with the maggot consistently measuring a shorter distance, because the maggot is aware of an additional dimension that the ant is not.
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