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I think you have it. My question remains as to why 1/r^2 'emerges' over say '1/r' which is of even lower complexity. Clearly there is a sort of structural substrate that pushes up (so to speak) while the 'low pass filter' pushes down.
It has to be Number. It must be N - simple act of partitioning and counting. I'm convinced of it, but how to prove it! :(If there is some generalized string out of which these common forms of equations can be backed, I would be speechless, stunned, but not really surprised. Maybe there is hope for a unified field theory in information theory, instead of quantum (or the wretched string theory).