Group separation in the vacuum

In the spreadsheet, I prepare two 40 digit numbers, one at 3/2 and the other at (1/2+root(5)/2.  I load them in sorted order, and run the system in log. But I lose the most 6 digits of the wave, there is no matching nulls quants for these.
And 108 factors into 2*2*3*3*3, naturally, which I missed for two weeks!

Here are the some quarks extremes by mass, and the order separation:
Mass            Log(3/2,mass)
2.40E+000    2.1591715781
1.70E+008    46.739678991 
4.80E+000    3.8686828695
1.27E+006    34.6627297328
104               11.4544773552
4.20E+006    37.6125954571

As you can see, mass seems  separated by about 47 to 2, in order, or 45 digits.  I suspect the missing Nulls  are interspersed in the gluon wave groups. If Nulls have allocated 45, orders, then wave likely has 37 or so bits of significance.

 This is the group separation mechanism in physics, I doubt that the vacuum can make groups with more than wave 38 quants, and the next groups down, in exponent, will be widely separated.

Why is the proton so stable? Its the number of Nulls, massive, and they hold enough phase to maintain a gradient  down the the effective phase density of free space.  So there is no real phase minimizing path for the Gluon phase. The Higgs is obviously unstable with these missing wave quants, and immediately degenerates into quark and gluon.

The electron is some 14 orders below the proton, not including kinetic.  Add the kinetic and valence phase and the numbers likely go to 30 plus.  Wave of certain quantization levels will not be stable, these are the quant levels that make group separation. What happens when the atom is energized at these missing quant levels? We get spectral emission lines.

So I can tell, right away, we are going to get three quarks/gluons splitting the 38 orders into subgroups. The mass quants will split the 45 order range and be widely separated with corresponding wave quants interleaved.

This stuff comes right out of the spreadsheet as I work with two quantization ratios.  I build them all, the load them into the quantizer macro in a sorted complete set, the system is working in logs only, at the moment.  But this kinds of models make the groups stand out.

High quantization ratios and light speed go together.  Go back to the Shannon condition. If wave, of a given signal power, has higher quants per sample then mass, it must be because their sampling rate is higher.  Wave rate, relative to mass rate, keeps packed nulls stable. Nulls do not sample, but they have an effective sampling rate because of the action of phase.

So, Einstein was right about the limits of order.  Start with the Plank density, 108 the density of the vacuum in which sampling rates and phase volume are matched. If that is the Higgs, and group ordering drops by nearly a third, at the start, then there are not too many quants left to pack much after the atom.  Another 66 orders, and we are at the limit of the vacuum. If the electro and magnetic split one group, then that leaves 33 orders for gravity up to black hole.

If the universe managed to widely separate phase, approaching black hole, then the effective volume over which the vacuum shapes equalize density only contains Nulls and a single phase, the system breaks down as Nulls equalize volume with a single phase value.  Nulls disappear, mass evaporates into phase and the whole system takes eons to mix up again.

Puzzle answered?

When compared vacuum density to Plank length, everything matched, except the fractional error.  Here we have the explanation, I was not counting quantization gaps.  Plank likely measures the quark, the nearest whole thing.  After I run the model, the quantization separation should come out and match Plank to the proper measuring error.