Our bit set

Here, combined by the 3/2 rule to get the Pauli rate.But this might end up being a Lucas sequence, so be forewarned.

[-1,0,+2]*(3/2**N). We get three possible values for each digit [quantization level] on our system. I have moved Nyquist to the highest order, Higgs at the bottom. No integers! Nyquist just uses combinations of [-1,0,2]. The standard model can use 3/2 and get their integers and half integers. I think this gets the Pauli separation. Does this get us a standard basis set to use in quantum mechanics? Dunno yet, but I would think not. In quantum mechanics we are computing the Pauli path, which is minimum phase, and that is as disturbed as the original disturbance, which is what we are really trying to measure.

Our likely basis set will be factorable polynomials, as in Z transforms. The Zeros are mass, and go from small to large. Mass size go as 3/2, though they come out as sequences of zero. The Z transform above is used for decimation, down sampling. I would start there.

-1 0 2                             Nyquist Order = N
-1.5 0 3                          N-1
-2.25 0 4.5                     N-2
-3.375 0 6.75                 N-3
-5.0625 0 10.125           N-4
-7.59375 0 15.1875       N-5
-11.390625 0 22.78125 N-6