Fukinsei and large scale structure in mathematics

There’s a “let’s classify and taxonomize all teh things” historical thread in mathematics. The “now that we know it exists, let’s dip it in formaldehyde”. Unfortunately the conversations between those in online fractal forums and mathematicians at universities doing formal complex analysis/dynamics (in the benighted language of category theory) are scarce.

Nature is zebra stripes: westerners will adjoin ‘irregular’ alongside ‘pathological’ or ‘malign’, and seek to impose fences: structures which are exactly regular and satisfy a group law of a sort. I have some contentions about the zebra stripes of nature:

* I suspect they have interesting long-range correlations which are kind of absent in fences. 

* I think that fences are local. Even on the grand cosmic scale — the little fear that the universe might repeat exactly that lurks in the consciousness and science and religion occasionally do little to ameliorate — if you’re arguing that reality is mathematics (a la Frenkel and Tegmark), then the recipe-ish nature, a la put in the same things and get the same results back, whether applied to physical phenomena (where it works) or people (where it is foul and doesn’t). profoundly disregard the foamy and frothy and irrepetetive nature of the (whatever local context-spanning word you want to use). 

* ‘fukinsei‘ is probably the best word for what I’m going after here, because all English words appear to carry connotations of problematical evil and horror, in a way.

 

And, just watch the first few seconds of this video: 

 

 

I know that these can be accurately modeled by reaction diffusion systems, but the fingering here is strongly reminiscent of the fingering (I prefer ‘phalanges’)

Sometimes there are features which merely quantitative descriptions (here is a list of the roots) miss.

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2 responses to “Fukinsei and large scale structure in mathematics

  1. You are right. Taxonomies are ugly. The repetitions we should be interesting in need to modify themselves – like folded code – more than to simply repeat “weirdly”, like the Wolfram Automaton #30 or Penrose quasiperiodic tiling.

    To me anti-taxonomy is why Wegert’s approach to series – clearly ∞-dimensional and claerly “between” taxonomical “peaks” – is so appealing.

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