Counting in different bases

If you look at the match at minimum deviation between wave and phi, at the proton peak, it comes to 107-91 = 16.  And at 107 and 127, where Higgs is we get 20.

The reason we get 16 is not because of a two base. I uses a twos base because I know how twos construct a gaussian bell curve. Shannon used twos because he did the Shannon-Nyquist theorem and worked with channels using trig functions, so he knew how to visualize a bell curve. Sine waves are easy to subdivide and visualize. But the 16 says is that the Gauss is divisibly symmetric and drops at the square rate.

If you work the Shannon equation using log Phi, it will tell you something like:

Phi^N - 1 = Phi^(N/2). 

In other words, it tells you where to put the decimal point, without reference to the normalized functions that are being counted. Unless you know the natural functions of Phi (I think they are hyperbolic), then you cannot visualize the bell curve. Changing to another base is merely using the log to convert to the proper quant rates in  your exponents, so that the digits remain separable.

The peak, at the proton is simply the point where deviation is minimized. Likely the Higgs is the minimization of the second moment, and going down, light minimizes the third.  I will let the experts sort that all out.

Why do I think Phi is a natural for the hyperbolic?

r^5 = 5r+3
r^6 = 8r+5
r^7 = 13r + 8

This relationship for Phi^N.  The Phi and 1/Phi are simple adds and subtracts from the last quant. If minimum phase at the boundary is quant N, then going to Phi^N-1 and phi^N+1 is a breeze for the bubbles.

The Higgs mechanism was all about getting SNR up by a 1 and a 1/2 integers.  Why not just a half? Because the second moment is really a polynomial, I just estimate as a square. That leaves a wave number gap of 21, enough to make combinations of symmetric hyperbolics that meet the spec. So, I think all spherical systems need the three quarks like centers.

With what I learned, my Bosons between 90 and 107 are likely off and might be on 7 boundaries, between Higgs and the proton peak. The proton null number may have changed,down, but then why is proton sill measured with all those primes?  I am still learning here.