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Linear Force

   

                  Table 1

linear linear
force force
radius u quark d quark
a d f
1 0.010577 0.05042
2 0.021154 0.10084
3 0.031731 0.151261
4 0.042308 0.201681
5 0.052885 0.252101
6 0.063462 0.302521
7 0.074038 0.352941
8 0.084615 0.403361
9 0.095192 0.453782
10 0.105769 0.504202
11 0.116346 0.554622
12 0.126923 0.605042
13 0.1375 0.655462
14 0.148077 0.705882
15 0.158654 0.756303
16 0.169231 0.806723
17 0.179808 0.857143
18 0.190385 0.907563
19 0.200962 0.957983
20 0.211538 1.008403
21 0.222115 1.058824
22 0.232692 1.109244
23 0.243269 1.159664
24 0.253846 1.210084
25 0.264423 1.260504
26 0.275 1.310924
27 0.285577 1.361345
28 0.296154 1.411765
29 0.306731 1.462185
30 0.317308 1.512605
31 0.327885 1.563025
32 0.338462 1.613445
33 0.349038 1.663866
34 0.359615 1.714286
35 0.370192 1.764706
36 0.380769 1.815126
37 0.391346 1.865546
38 0.401923 1.915966
39 0.4125 1.966387
40 0.423077 2.016807
41 0.433654 2.067227
42 0.444231 2.117647
43 0.454808 2.168067
44 0.465385 2.218487
45 0.475962 2.268908
46 0.486538 2.319328
47 0.497115 2.369748
48 0.507692 2.420168
49 0.518269 2.470588
50 0.528846 2.521008
51 0.539423 2.571429
52 0.55 2.621849
53 0.560577 2.672269
54 0.571154 2.722689
55 0.581731 2.773109
56 0.592308 2.823529
57 0.602885 2.87395
58 0.613462 2.92437
59 0.624038 2.97479
60 0.634615 3.02521
61 0.645192 3.07563
62 0.655769 3.12605
63 0.666346 3.176471
64 0.676923 3.226891
65 0.6875 3.277311
66 0.698077 3.327731
67 0.708654 3.378151
68 0.719231 3.428571
69 0.729808 3.478992
70 0.740385 3.529412
71 0.750962 3.579832
72 0.761538 3.630252
73 0.772115 3.680672
74 0.782692 3.731092
75 0.793269 3.781513
76 0.803846 3.831933
77 0.814423 3.882353
78 0.825 3.932773
79 0.835577 3.983193
80 0.846154 4.033613
81 0.856731 4.084034
82 0.867308 4.134454
83 0.877885 4.184874
84 0.888462 4.235294
85 0.899038 4.285714
86 0.909615 4.336134
87 0.920192 4.386555
88 0.930769 4.436975
89 0.941346 4.487395
90 0.951923 4.537815
91 0.9625 4.588235
92 0.973077 4.638655
93 0.983654 4.689076
94 0.994231 4.739496
95 1.004808 4.789916
96 1.015385 4.840336
97 1.025962 4.890756
98 1.036538 4.941176
99 1.047115 4.991597
100 1.057692 5.042017
101 1.068269 5.092437
102 1.078846 5.142857
103 1.089423 5.193277
104 1.1 5.243697
105 1.110577 5.294118
106 1.121154 5.344538
107 1.131731 5.394958
108 1.142308 5.445378
109 1.152885 5.495798
110 1.163462 5.546218
111 1.174038 5.596639
112 1.184615 5.647059
113 1.195192 5.697479
114 1.205769 5.747899
115 1.216346 5.798319
116 1.226923 5.848739
117 1.2375 5.89916
118 1.248077 5.94958
119 1.258654 6
120 1.269231 5.900417
121 1.279808 5.803292
122 1.290385 5.708546
123 1.300962 5.616102
124 1.311538 5.525884
125 1.322115 5.437824
126 1.332692 5.351852
127 1.343269 5.267903
128 1.353846 5.185913
129 1.364423 5.105823
130 1.375 5.027574
131 1.385577 4.95111
132 1.396154 4.876377
133 1.406731 4.803324
134 1.417308 4.7319
135 1.427885 4.662058
136 1.438462 4.59375
137 1.449038 4.526933
138 1.459615 4.461563
139 1.470192 4.397598
140 1.480769 4.335
141 1.491346 4.273729
142 1.501923 4.213747
143 1.5125 4.15502
144 1.523077 4.097512
145 1.533654 4.041189
146 1.544231 3.98602
147 1.554808 3.931973
148 1.565385 3.879018
149 1.575962 3.827125
150 1.586538 3.776267
151 1.597115 3.726416
152 1.607692 3.677545
153 1.618269 3.62963
154 1.628846 3.582645
155 1.639423 3.536566
156 1.65 3.491371
157 1.660577 3.447036
158 1.671154 3.403541
159 1.681731 3.360864
160 1.692308 3.318984
161 1.702885 3.277883
162 1.713462 3.23754
163 1.724038 3.197937
164 1.734615 3.159057
165 1.745192 3.120882
166 1.755769 3.083394
167 1.766346 3.046578
168 1.776923 3.010417
169 1.7875 2.974896
170 1.798077 2.94
171 1.808654 2.905715
172 1.819231 2.872025
173 1.829808 2.838919
174 1.840385 2.806381
175 1.850962 2.7744
176 1.861538 2.742962
177 1.872115 2.712056
178 1.882692 2.681669
179 1.893269 2.65179
180 1.903846 2.622407
181 1.914423 2.593511
182 1.925 2.565089
183 1.935577 2.537132
184 1.946154 2.509629
185 1.956731 2.482571
186 1.967308 2.455949
187 1.977885 2.429752
188 1.988462 2.403972
189 1.999038 2.378601
190 2.009615 2.353629
191 2.020192 2.329048
192 2.030769 2.30485
193 2.041346 2.281028
194 2.051923 2.257573
195 2.0625 2.234477
196 2.073077 2.211735
197 2.083654 2.189338
198 2.094231 2.167279
199 2.104808 2.145552
200 2.115385 2.12415
201 2.125962 2.103067
202 2.136538 2.082296
203 2.147115 2.061831
204 2.157692 2.041667
205 2.168269 2.021797
206 2.178846 2.002215
207 2.189423 1.982917
208 2.2 1.963896
209 2.210577 1.945148
210 2.221154 1.926667
211 2.231731 1.908448
212 2.242308 1.890486
213 2.252885 1.872777
214 2.263462 1.855315
215 2.274038 1.838096
216 2.284615 1.821116
217 2.295192 1.80437
218 2.305769 1.787855
219 2.316346 1.771564
220 2.326923 1.755496
221 2.3375 1.739645
222 2.348077 1.724008
223 2.358654 1.708581
224 2.369231 1.693359
225 2.379808 1.678341
226 2.390385 1.663521
227 2.400962 1.648897
228 2.411538 1.634464
229 2.422115 1.620221
230 2.432692 1.606163
231 2.443269 1.592287
232 2.453846 1.578589
233 2.464423 1.565068
234 2.475 1.55172
235 2.485577 1.538542
236 2.496154 1.525531
237 2.506731 1.512685
238 2.517308 1.5
239 2.527885 1.487474
240 2.538462 1.472155
241 2.549038 1.458293
242 2.559615 1.444769
243 2.570192  
244 2.580769  
245 2.591346  
246 2.601923  
247 2.6125  
248 2.623077  
249 2.633654  
250 2.644231  
251 2.654808  
252 2.665385  
253 2.675962  
254 2.686538  
255 2.697115  
256 2.707692  
257 2.718269  
258 2.728846  
259 2.739423  
260 2.75  
261 2.728968  
262 2.708176  
263 2.68762  
264 2.667298  
265 2.647205  
266 2.627339  
267 2.607695  
268 2.588271  
269 2.569063  
270 2.550069  
271 2.531284  
272 2.512705  
273 2.494331  
274 2.476157  
275 2.458182  
276 2.440401  
277 2.422813  
278 2.405414  
279 2.388202  
280 2.371173  
281 2.354327  
282 2.337659  
283 2.321168  
284 2.30485  
285 2.288704  
286 2.272727  
287 2.256917  
288 2.241271  
289 2.225788  
290 2.210464  
291 2.195298  
292 2.180287  
293 2.16543  
294 2.150724  
295 2.136168  
296 2.121759  
297 2.107495  
298 2.093374  
299 2.079395  
300 2.065556  
301 2.051854  
302 2.038288  
303 2.024856  
304 2.011556  
305 1.998388  
306 1.985348  
307 1.972435  
308 1.959647  
309 1.946984  
310 1.934443  
311 1.922023  
312 1.909722  
313 1.897539  
314 1.885472  
315 1.87352  
316 1.861681  
317 1.849954  
318 1.838337  
319 1.82683  
320 1.81543  
321 1.804136  
322 1.792948  
323 1.781863  
324 1.770881  
325 1.76  
326 1.749219  
327 1.738537  
328 1.727952  
329 1.717464  
330 1.707071  
331 1.696772  
332 1.686566  
333 1.676451  
334 1.666428  
335 1.656494  
336 1.646648  
337 1.63689  
338 1.627219  
339 1.617633  
340 1.608131  
341 1.598713  
342 1.589378  
343 1.580124  
344 1.570951  
345 1.561857  
346 1.552842  
347 1.543905  
348 1.535044  
349 1.52626  
350 1.517551  
351 1.508916  
352 1.500355  
353 1.491867  
354 1.48345  
355 1.475104  
356 1.466829  
357 1.458623  
358 1.450485  
359 1.442416  
360 1.434414  
361 1.426478  
362 1.418607  
363 1.410802  
364 1.403061  
365 1.395384  
366 1.387769  
367 1.380217  
368 1.372726  
369 1.365295  
370 1.357925  
371 1.350615  
372 1.343363  
373 1.33617  
374 1.329034  
375 1.321956  
376 1.314933  
377 1.307967  
378 1.301055  
379 1.294199  
380 1.287396  
381 1.280647  
382 1.273951  
383 1.267307  
384 1.260715  
385 1.254174  
386 1.247685  
387 1.241245  
388 1.234855  
389 1.228514  
390 1.222222  
391 1.215978  
392 1.209782  
393 1.203634  
394 1.197532  
395 1.191476  
396 1.185466  
397 1.179501  
398 1.173581  
399 1.167706  
400 1.161875  
401 1.156087  
402 1.150343  
403 1.144641  
404 1.138981  
405 1.133364  
406 1.127788  
407 1.122252  
408 1.116758  
409 1.111304  
410 1.105889  
411 1.100514  
412 1.095179  
413 1.089882  
414 1.084623  
415 1.079402  
416 1.074219  
417 1.069073  
418 1.063964  
419 1.058891  
420 1.053855  
421 1.048854  
422 1.043889  
423 1.03896  
424 1.034065  
425 1.029204  
426 1.024378  
427 1.019585  
428 1.014827  
429 1.010101  
430 1.005408  
431 1.000748  
432 0.996121  
433 0.991525  
434 0.986961  
435 0.982428  
436 0.977927  
437 0.973456  
438 0.969016  
439 0.964607  
440 0.960227  
441 0.955877  
442 0.951557  
443 0.947266  
444 0.943004  
445 0.93877  
446 0.934565  
447 0.930389  
448 0.92624  
449 0.922118  
450 0.918025  
451 0.913958  
452 0.909919  
453 0.905906  
454 0.901919  
455 0.897959  
456 0.894025  
457 0.890117  
458 0.886234  
459 0.882377  
460 0.878544  
461 0.874737  
462 0.870954  
463 0.867196  
464 0.863462  
465 0.859753  
466 0.856067  
467 0.852404  
468 0.848765  
469 0.84515  
470 0.841557  
471 0.837988  
472 0.834441  
473 0.830916  
474 0.827414  
475 0.823934  
476 0.820475  
477 0.817039  
478 0.813624  
479 0.81023  
480 0.806858  
481 0.803506  
482 0.800176  
483 0.796866  
484 0.793576  
485 0.790307  
486 0.787058  
487 0.783829  
488 0.78062  
489 0.777431  
490 0.774261  
491 0.77111  
492 0.767979  
493 0.764866  
494 0.761773  
495 0.758698  
496 0.755642  
497 0.752604  
498 0.749585  
499 0.746583  
500 0.7436  
501 0.740634  
502 0.737687  
503 0.734756  
504 0.731844  
505 0.728948  
506 0.72607  
507 0.723208  
508 0.720364  
509 0.717536  
510 0.714725  
511 0.71193  
512 0.709152  
513 0.70639  
514 0.703644  
515 0.700914  
516 0.6982  
517 0.695502  
518 0.692819  
519 0.690152  
520 0.6875  
521 0.684863  
522 0.682242  
523 0.679635  

 

This is an early example of how mass and radii are used to plot the vacuum force fields of the u and d quarks. Table 1 show the values at each unit of radius. Table 2 shows the totals of the 1/1 section and the inverse square section. There is a need to interpolate between the last two readings to achieve fields with equal totals.

Unfortunately the file with the final product is corrupted and at present I cannot spare the time to rebuild the tables. This should be sufficient to see how the proposal works. In the final tables there is a sequence to the reduction in radii.

Plotting the anti-field allows an explanation of charge which I am in the process of revising.

                                          Fig. 1

u quark
1/1 358.875
inv. Sq. 358.517
total 717.392
 
d quark
1/1 360
inv. Sq. 360.62
total 720.62

        Table 2