The way to think of it is, they chase nulls along the line of symmetry, called r When they surround nulls, there sample rate is the same, but their curvature goes as r squared. When the embed nulls their sample rate remains but their curvature goes as r cubed. When the nulls are packed, the remaining bubbles are r squared! around the surface. Thus the multiply.
Nulls, doing nothing will be quantized by powers of radius, and packed nulls go as 3/2. But the size grows as (3/2) because of the phase squaring effect.
Group theorists tells us there is no perfect line of symmetry, there is always some coupling. near the Higgs density, phase gets clogged a bit, the r squared turns into the prime number separation. So the reason there is a huge wave number prime , 13, in the center of the proton, curling about a mass of free nulls is because of the prime number effect. And the number of free nulls they chase, in the center, is 12, which is not quit enough to pack, but perfect for the precision gyro effect.
In sample space, the coupling can be treated as a sampling side lobe. Up near higgs, where the prime number 13 is working, these side lobes cannot exceed 7, hence the three gluon modes for Baryons. The reason we can get two quarks is because there is no combination of side lobe that exceeds the limit.
In my spectral chart, starting from the electron at wave 75, I can see the up and down slot pairs, staring right at me, and taking six wave exponents. Then 13 exponents fill up to 90, 91 not available.
So, using standard control theory, right away we have the bandlimit of the central gyro, 13, and the six gluons at 2. All the six axis of symmetry balanced around the sphere. Here is my chart:
This whole adventure was simply me floundering about making sample data theory fit the articles in Wiki.
1 |
R2**n2 |
R1**n1 |
|
|
Error |
78 |
543.4E+11 |
543.4E+11 |
65.7222 |
66 |
277.8E-03 |
79 |
815.1E+11 |
815.1E+11 |
66.5647 |
67 |
435.3E-03 |
80 |
122.3E+12 |
122.3E+12 |
67.4073 |
67 |
407.3E-03 |
81 |
183.4E+12 |
183.4E+12 |
68.2499 |
68 |
249.9E-03 |
82 |
275.1E+12 |
275.1E+12 |
69.0925 |
69 |
925.2E-04 |
83 |
412.6E+12 |
412.6E+12 |
69.9351 |
70 |
648.9E-04 |
84 |
619.0E+12 |
619.0E+12 |
70.7777 |
71 |
222.3E-03 |
85 |
928.4E+12 |
928.4E+12 |
71.6203 |
72 |
379.7E-03 |
86 |
139.3E+13 |
139.3E+13 |
72.4629 |
72 |
462.9E-03 |
87 |
208.9E+13 |
208.9E+13 |
73.3055 |
73 |
305.5E-03 |
88 |
313.4E+13 |
313.4E+13 |
74.1481 |
74 |
148.1E-03 |
89 |
470.0E+13 |
470.0E+13 |
74.9907 |
75 |
933.5E-05 |
90 |
705.0E+13 |
705.0E+13 |
75.8333 |
76 |
166.7E-03 |
91 |
105.8E+14 |
105.8E+14 |
76.6758 |
77 |
324.2E-03 |
92 |
158.6E+14 |
158.6E+14 |
77.5184 |
78 |
481.6E-03 |
93 |
238.0E+14 |
238.0E+14 |
78.3610 |
78 |
361.0E-03 |
94 |
356.9E+14 |
356.9E+14 |
79.2036 |
79 |
203.6E-03 |
95 |
535.4E+14 |
535.4E+14 |
80.0462 |
80 |
462.2E-04 |
96 |
803.1E+14 |
803.1E+14 |
80.8888 |
81 |
111.2E-03 |
97 |
120.5E+15 |
120.5E+15 |
81.7314 |
82 |
268.6E-03 |
98 |
180.7E+15 |
180.7E+15 |
82.5740 |
83 |
426.0E-03 |
99 |
271.0E+15 |
271.0E+15 |
83.4166 |
83 |
416.6E-03 |
100 |
406.6E+15 |
406.6E+15 |
84.2592 |
84 |
259.2E-03 |
101 |
609.8E+15 |
609.8E+15 |
85.1018 |
85 |
101.8E-03 |
102 |
914.8E+15 |
914.8E+15 |
85.9444 |
86 |
556.4E-04 |
103 |
137.2E+16 |
137.2E+16 |
86.7869 |
87 |
213.1E-03 |
104 |
205.8E+16 |
205.8E+16 |
87.6295 |
88 |
370.5E-03 |
105 |
308.7E+16 |
308.7E+16 |
88.4721 |
88 |
472.1E-03 |
106 |
463.1E+16 |
463.1E+16 |
89.3147 |
89 |
314.7E-03 |
107 |
694.6E+16 |
694.6E+16 |
90.1573 |
90 |
157.3E-03 |
108 |
104.2E+17 |
104.2E+17 |
90.9999 |
91 |
922.8E-07 |
109 |
156.3E+17 |
156.3E+17 |
91.8425 |
92 |
157.5E-03 |
110 |
234.4E+17 |
234.4E+17 |
92.6851 |
93 |
314.9E-03 |
111 |
351.7E+17 |
351.7E+17 |
93.5277 |
94 |
472.3E-03 |
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