I hand waved the problem here, but a much more accurate analysis is here.
What I did here is just estimated the mass ratios and found that there existed a mass ratio that corresponded to the proton-electron mass ratio. That mass ratio is likely the magnetic mass when computed in a compact system with no kinetic energy.
1) It will not quantize (stop forever) until it sees the triplet [0,0,0] at order one, and two triplets [0,0,0,0,0,0] at order 2, and so one.
2) The vacuum works on triplets at Nyquist, which is 1.5 * wave speed, more or less.
3) The vacuum will not see a simultaneity when working on 5 samples, two pair of triplets over lapped.
4) The vacuum undersampler has the slight positive phase curve in its measurements. Remember the values [-1,0,2] which results in a slight curvature of the universe.
5) That curvature insures its work will be completed, and insures order level is maintain. The slight curvature removes the steepest gradient in phase, and so a second order order gradients, smoother gradients with finer granularity will not overlap the first order and so on. Thus, except at the Nyquist noise level, there will never be sequences like [-1,-1,-1]. The system only quantizes at the triplet level, and the sub quant levels are always insured to be fine granularity levels of 1,2,4,8 etc.
With these conditions then the order allows mass rations between density levels of 64, minus gaps that result from non compact groups.
So, no group theory for me, just an approximation, and indeed this system does work within the round numbers of the standard model and traditional quantum physics.
Here is my approximation. I took the full number of quants available, estimated a gap ratio that results from non compact groups. Then computed the mass ratio. The proton seems to be order two, the electron order three and the mass ratio fits.
Order | Allowable | Missing gaps | Used quants | mass ratio |
States | 0.6 | |||
1 | 8 | 4.8 | 4.8 | 38.4 |
2 | 64 | 38.4 | 184 | 307.2 |
3 | 512 | 307.2 | 56623 | 2457.6 |
4 | 4096 | 2457.6 | 139156940 | 19660.8 |
5 | 32768 | 19660.8 | 2735936773627 | 157286.4 |
This needs refinement, my magnetron/proton wavelength are close enough assuming the sparse electron distribution holds the energy of the compressed (point source ) version, so my proton-electron ratio fits in somewhere.
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