I learned from Jon Brett about physicist David #Bohm 's colleague Basil Hiley https://en.wikipedia.org/wiki/Basil_Hiley Their distinction between implicate and explicate order seems to appear in my study of #orthogonal #Sheffer #polynomial s. The Sheffer constraint of exponentiality yields an implicate order of #partition of a set https://www.math4wisdom.com/wiki/Exposition/20221122SpaceBuilders whereas orthogonality yields 5 possible explicate orders upon #measurement. Also curious how they use #CliffordAlgebra ,real and #symplectic. #BottPeriodicity ?

@highergeometer @BrKloeckner @johncarlosbaez Perhaps this is related? https://www.math4wisdom.com/wiki/Exposition/20221122SpaceBuilders About partitions of sets, which are encoded by orthogonal #Sheffer polynomials (which come up in solutions of the #SchroedingerEquation ). There is a fivefold classification of these orthogonal Sheffer polynomials and they each have their own weight function (these are the natual exponential families with quadratic variance functions) which you can get from the moments.