Statistics of packed Nulls

The last time I did an SNR was for a wave, I plotted the Noise part of SNR.  Packed Nulls do not radiate, their SNR is stable across the sphere surface.  SNR falls by the root of the wave number.

Looks like a mad scientiest?

So, we get the formula of Phi^N + 1/Phi^N, which has stable SNR, rising in the fraction and falling in the whole when N increases.   So, a packed Null at wave N has Phi^N - 1/Phi^N inside and Phi^N + 1/Phi^N outside. Minimum phase across the surface and balanced SNR. I think this is the correct model of mass. It gets us the de Broglie wave function. This would be an uncharges packed Null, but adding a shift in quant numbers and renormalizing the fractions should accommodate charged mass. The volume of the outside part and the volume of the inside would still total, the outside still containing a balanced mix of phase and null. The only kinetic energy between the two components being spin or orbital motion in the case of charge.

This de Broglie model provides the mechanism for motion, something I never got right. And, with sufficient nulls (not too many) in the orbital slot, this method quantizes all the wave motion to the proton in consecutive wave number. Geometrically, the properties of the irrational number guarantee that. Thus, the notches in free space without the magic. Of course the proton, at a wave number base of 90, would provide and maintain sufficient nulls. But only if it modulated by a 22 or 11.  90 has high frequency but short wavelength.

Hence, no need for a unknown quantum field. Any change in orbital energy via introduction of outside wave would step into the proton, at the sample rate of light, and cause its unit circle adjutsment via changes in the motion of quarks, rebalancing the system. And that balances minimum phase and minimum redundancy, another de Broglie idea.