It all boils down to the simple fact that the vacuum of space can conserve sample space if it can multiply accurately. So whenever a two potential barriers arise that block off a Euclidean group, the vacuum of space settles in. We end up with a step function world.
There seems to be a limit, from the noise of the universe fringe to the Higgs wave. I dunno why. Likely we reach a natural point where divide becomes more efficient than the next level up, so the universe cycles.
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