A bit of Ramsey theory I think. When an abundance of quantized wave activity with two degrees of freedom beging to exceed the Higgs bandwidth limit they depopulate and separate both phase and quant size. Eventually the only quants left are those that are phase separated and are solutions to a cubic. A process of elimination until the population is just large enough to support the next minimum structure. That is Ramsey theory I think.
Monopolies do the same in economics. Mathematicians are on the verge of sorting all this out. They know the maximum particle physics base is three, they know finite systems cannot use the natural exponent, and they know Lagrange theory will work under conditions of natural selection.
The next question is how did base five come about for DNA sequences.
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