The one lacuna of your model is it didn't take into account another correlation, not just of space, but of time. There should be some altit, altitur complexity that also captures the relevant time scales and coherence links between these things. So getting back to galaxies in the age of the universe, the same thing is at play here. You need far more complexity to describe a galaxy with hundreds of billions of stars in it than to just describe one star.

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