But, it is Fibonacci rotated that has hyperbolic solutions

The whole point was to rotate the irrational exponent so there are unit circles, it is the Weinberg shift that makes it work. Shifted up a wave plus 30 degrees to make it do bigger unit circles symmetric with respect to the Higgs band stop. Mainly it pushed the spectral peak of the proton back toward the long end by 3/2.

 The Higgs mechanism makes the bubble solve the equation to the left.

 It is in Wiki :

Make this circle function from Phi = q.
q^3 = q + 1

Fibonacci triangle identity with hypotenuse shifted 1.5 waves:
q^(3/2)^2 = (q^1/2)^2 + 1^2 ,making q^3 = q+1 as above


Solve for q:
 
q* [q+1] = q+1
[q+1] * [q-1] = 0
q = -1, 1 

Generalize to any N:

-q^n = q^n * [q - q^2]
= q^(N+1) - q^(N+2)


The SNR is now a full sphere maker, the span the SNR measure is 1.5 quants. Higgs made the bubbles go to third moment I think.

Did Phi really go negative?
No, its a simulated negative relative to the proton peak. The circle up at proton peak id larger, negative points toward the center, and that really is where Higgs does his work. It is likely that light did the same to Higgs. All the spectral modes are now Hyperbolic,  Any mode will generate the  mixe of one wave number up and one down. Wave/Null slot sharing now goes in threes, not twos. For wave, the three slots will hold enough mass to stabilize two wave numbers on either side. Now my space impedance matches I think.  Everything is fitting together much better. Wiki once again got me out of a jam. And a quick note.  Every thing I have been doing lately is relative to the proton peak. We now have 7*3 or room for seven quarks, one is missing.  That is also 14 counters on our spectral machine.

One nagging problem, the relationship between light and Higgs, there must be a similar mechanism.

I have the quarks in the wrong spot on the map, I think they will count up from 90 until 99 or farther.