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A more natural way to say it is that equality requires that the unit of length is the length of an arbitrary pendulum and the unit of time is the half-period of the same pendulum.

The pendulum is a device that relates pi to gravity.




Sounds universal. Get a different value on the Moon? Of course... pi squares differently on the moon :)


The arbitrary length pendulum with a period of 2 seconds which is your unit of length, (or 1 Catholic meter) is much shorter on the moon. In local Catholic meters gravity would be pi squared Catholic meters / second. As it would on any planet.


I think I understand. Distance scales with Planet Size? That actually makes a lot of sense.




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