Wow, I didn't know there was a 9.6 year cycle of lynx abundance. Of course, you're going to have to show me some evidence that this and similar periodicities, especially in population dynamics and economics, have any relationship or application to "good estimates of the typical distances between the galaxies, the stars..."

Cyclic periodicities really just touch on the surface of complex systems theory, which you might want to look into.

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