It is proposed that all elementary particles
have the same linear force found using equation 1.
.........................................................1
Given that F is 2.8799296 and m = 1.3285972 MeV then
2r = 2.1676469
de Broglie's wavelength equation is
.............................................................2
Given that v = 2.30078 x10-34 then
................3
Therefore at the given speed λ = 2r.
Demonstrating that the CLF model produces the same value for 2r as de
Broglie produces for λ.
Einstein showed that:
............................................................4
therefore
.............................................................5
and in the CLF model:
............................................................6
Dividing equation 5 by equation
6 gives:
:.........................................................7
Simplified:
...........................................................8
As 2r has been shown to be equal to λ
then:
............................................................9
Demonstrating that Einstein's mass and de Broglie's wavelength can be
combined with the linear force constant to produce an equation that is
universal for all elementary particles moving at the same speed, as shown in the following table.
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Table 4 |
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(Fl =
2.87992961524744) |
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% error |
theorectical |
mass |
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|
|
λ |
de Broglie |
between |
mass |
found by |
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|
PDG |
|
|
B1-(A2*B1) |
λ=h/mv |
b and h |
(m=Fl/λ) |
experiment |
|
c-d |
mλ/F |
ref. |
|
a |
b |
c |
d |
e |
f |
g |
h |
i |
k |
1/ |
1 |
28.17941 |
28.179374 |
-0.0001277 |
0.1021998 |
|
|
|
1.00E+00 |
1 |
1/ |
1/2 |
14.089705 |
14.089687 |
-0.0001277 |
0.2043996 |
0.26 |
±48 |
-0.06 |
1.00E+00 |
2 |
1/ |
1/3 |
9.3931367 |
9.3931247 |
-0.0001277 |
0.3065994 |
0.3 |
±10 |
0.01 |
1.00E+00 |
3 |
1/ |
1/4 |
7.0448525 |
7.0448435 |
-0.0001277 |
0.4087991 |
0.43 |
± 8 |
-0.02 |
1.00E+00 |
4 |
1/ |
1/5 |
5.635882 |
5.6358748 |
-0.0001277 |
0.5109989 |
0.510998918 |
electron |
|
1.00E+00 |
5 |
1/ |
1/6 |
4.6965684 |
4.6965624 |
-0.0001277 |
0.6131987 |
0.553 |
±12 |
0.06 |
1.00E+00 |
6 |
1/ |
1/7 |
4.02563 |
4.0256249 |
-0.0001277 |
0.7153985 |
0.66 |
±19 |
0.06 |
1.00E+00 |
7 |
1/ |
13 |
2.1676469 |
2.1676442 |
-0.0001277 |
1.3285972 |
1.3 |
±0.3 |
0.03 |
1.00E+00 |
8 |
1/ |
17 |
1.6576124 |
1.6576102 |
-0.0001277 |
1.7373963 |
1.7 |
±0.3 |
0.04 |
1.00E+00 |
9 |
1/ |
18 |
1.5655228 |
1.5655208 |
-0.0001277 |
1.8395961 |
1.79 |
±0.38 |
0.05 |
1.00E+00 |
10 |
1/ |
23 |
1.2251917 |
1.2251902 |
-0.0001277 |
2.350595 |
2.3 |
±0.4 |
0.05 |
1.00E+00 |
11 |
1/ |
27 |
1.0436819 |
1.0436805 |
-0.0001277 |
2.7593942 |
2.7 |
±0.06 4.72 |
0.06 |
1.00E+00 |
12 |
1/ |
28 |
1.0064075 |
1.0064062 |
-0.0001277 |
2.8615939 |
2.9 |
±0.6 |
-0.04 |
1.00E+00 |
13 |
1/ |
30 |
0.9393137 |
0.9393125 |
-0.0001277 |
3.0659935 |
3 |
±0.7 |
0.07 |
1.00E+00 |
14 |
1/ |
33 |
0.8539215 |
0.8539204 |
-0.0001277 |
3.3725929 |
3.4 |
±0.11 |
-0.03 |
1.00E+00 |
15 |
1/ |
35 |
0.805126 |
0.805125 |
-0.0001277 |
3.5769924 |
3.6 |
±0.03 4.68 |
-0.02 |
1.00E+00 |
16 |
1/ |
37 |
0.7616057 |
0.7616047 |
-0.0001277 |
3.781392 |
3.8 |
±0.2 |
-0.02 |
1.00E+00 |
17 |
1/ |
38 |
0.7415634 |
0.7415625 |
-0.0001277 |
3.8835918 |
3.9 |
±0.5 |
-0.02 |
1.00E+00 |
18 |
1/ |
39 |
0.722549 |
0.7225481 |
-0.0001277 |
3.9857916 |
3.95 |
±0.3 |
0.04 |
1.00E+00 |
19 |
1/ |
40 |
0.7044853 |
0.7044844 |
-0.0001277 |
4.0879913 |
4.05 |
±0.6 |
0.04 |
1.00E+00 |
20 |
1/ |
41 |
0.6873027 |
0.6873018 |
-0.0001277 |
4.1901911 |
4.19 |
±0.9 |
0.00 |
1.00E+00 |
21 |
1/ |
42 |
0.6709383 |
0.6709375 |
-0.0001277 |
4.2923909 |
4.25 |
±0.7 |
0.04 |
1.00E+00 |
22 |
1/ |
43 |
0.6553351 |
0.6553343 |
-0.0001277 |
4.3945907 |
4.4 |
±0.1 ±0.4 |
-0.01 |
1.00E+00 |
23 |
1/ |
44 |
0.6404411 |
0.6404403 |
-0.0001277 |
4.4967905 |
4.5 |
±0.11 |
0.00 |
1.00E+00 |
24 |
1/ |
45 |
0.6262091 |
0.6262083 |
-0.0001277 |
4.5989903 |
4.57 |
|
0.03 |
1.00E+00 |
25 |
1/ |
46 |
0.6125959 |
0.6125951 |
-0.0001277 |
4.70119 |
4.7 |
±2 |
0.00 |
1.00E+00 |
26 |
1/ |
51 |
0.5525375 |
0.5525367 |
-0.0001277 |
5.212189 |
5.2 |
±0.9 |
0.01 |
1.00E+00 |
27 |
1/ |
63 |
0.4472922 |
0.4472917 |
-0.0001277 |
6.4385864 |
6.4 |
±1.1 8 |
0.04 |
1.00E+00 |
28 |
1/ |
69 |
0.4083972 |
0.4083967 |
-0.0001277 |
7.0517851 |
7 |
±1.1 |
0.05 |
1.00E+00 |
29 |
1/ |
72 |
0.3913807 |
0.3913802 |
-0.0001277 |
7.3583844 |
7.4 |
±0.7 |
-0.04 |
1.00E+00 |
30 |
1/ |
223 |
0.1263651 |
0.1263649 |
-0.0001277 |
22.790552 |
22.7 |
±20 |
0.09 |
1.00E+00 |
31 |
1/ |
224 |
0.1258009 |
0.1258008 |
-0.0001277 |
22.892752 |
22.8 |
±14.1 |
0.09 |
1.00E+00 |
32 |
1/ |
744 |
0.0378756 |
0.0378755 |
-0.0001277 |
76.036639 |
76 |
±0.09 |
0.04 |
1.00E+00 |
33 |
1/ |
793 |
0.0355352 |
0.0355352 |
-0.0001277 |
81.044428 |
81 |
±0.09 |
0.04 |
1.00E+00 |
34 |
1/ |
827 |
0.0340743 |
0.0340742 |
-0.0001277 |
84.519221 |
84.5 |
±0.10 |
0.02 |
1.00E+00 |
35 |
1/ |
861 |
0.0327287 |
0.0327287 |
-0.0001277 |
87.994014 |
88 |
±0.05 |
-0.01 |
1.00E+00 |
36 |
1/ |
900 |
0.0313105 |
0.0313104 |
-0.0001277 |
91.979805 |
92 |
±0.06 |
-0.02 |
1.00E+00 |
37 |
1/ |
910 |
0.0309664 |
0.0309663 |
-0.0001277 |
93.001803 |
93 |
±0.05 |
0.00 |
1.00E+00 |
38 |
1/ |
930 |
0.0303004 |
0.0303004 |
-0.0001277 |
95.045799 |
95 |
± 4 |
0.05 |
1.00E+00 |
39 |
1/ |
969 |
0.0290809 |
0.0290809 |
-0.0001277 |
99.03159 |
99 |
±0.090 ±0.025 |
0.03 |
1.00E+00 |
40 |
1/ |
978 |
0.0288133 |
0.0288133 |
-0.0001277 |
99.951388 |
100 |
±0.82 |
-0.05 |
1.00E+00 |
41 |
1/ |
979 |
0.0287839 |
0.0287838 |
-0.0001277 |
100.05359 |
100 |
±14 |
0.05 |
1.00E+00 |
42 |
1/ |
1008 |
0.0279558 |
0.0279557 |
-0.0001277 |
103.01738 |
103 |
±0.57 |
0.02 |
1.00E+00 |
43 |
1/ |
1027 |
0.0274386 |
0.0274385 |
-0.0001277 |
104.95918 |
105 |
±17 |
-0.04 |
1.00E+00 |
44 |
1/ |
1037 |
0.027174 |
0.0271739 |
-0.0001277 |
105.98118 |
106 |
±0.031 |
-0.02 |
1.00E+00 |
45 |
1/ |
1086 |
0.0259479 |
0.0259479 |
-0.0001277 |
110.98896 |
111 |
±12 |
-0.01 |
1.00E+00 |
46 |
1/ |
1115 |
0.025273 |
0.025273 |
-0.0001277 |
113.95276 |
114 |
±12 |
-0.05 |
1.00E+00 |
47 |
1/ |
1125 |
0.0250484 |
0.0250483 |
-0.0001277 |
114.97476 |
115 |
±0.06 |
-0.03 |
1.00E+00 |
48 |
1/ |
1135 |
0.0248277 |
0.0248276 |
-0.0001277 |
115.99675 |
116 |
±0.10 |
0.00 |
1.00E+00 |
49 |
1/ |
1145 |
0.0246108 |
0.0246108 |
-0.0001277 |
117.01875 |
117 |
±0.070 |
0.02 |
1.00E+00 |
50 |
1/ |
1155 |
0.0243978 |
0.0243977 |
-0.0001277 |
118.04075 |
118 |
±17 |
0.04 |
1.00E+00 |
51 |
1/ |
1223 |
0.0230412 |
0.0230412 |
-0.0001277 |
124.99034 |
125 |
± 2 ± 8 38 |
-0.01 |
1.00E+00 |
52 |
1/ |
1262 |
0.0223292 |
0.0223291 |
-0.0001277 |
128.97613 |
129 |
±16 |
-0.02 |
1.00E+00 |
53 |
1/ |
1272 |
0.0221536 |
0.0221536 |
-0.0001277 |
129.99812 |
130 |
± 9 ±16 |
0.00 |
1.00E+00 |
54 |
1/ |
1370 |
0.0205689 |
0.0205689 |
-0.0001277 |
140.0137 |
140 |
±15 |
0.01 |
1.00E+00 |
55 |
1/ |
1448 |
0.0194609 |
0.0194609 |
-0.0001277 |
147.98529 |
148 |
±48 |
-0.01 |
1.00E+00 |
56 |
1/ |
1487 |
0.0189505 |
0.0189505 |
-0.0001277 |
151.97108 |
152 |
±27 |
-0.03 |
1.00E+00 |
57 |
1/ |
1663 |
0.0169449 |
0.0169449 |
-0.0001277 |
169.95824 |
170 |
-3 |
-0.04 |
1.00E+00 |
58 |
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PDG |
reference |
k |
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1 |
Graviton? |
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|
2 |
56 CHETYRKIN 98 THEO MS scheme |
3 |
57 CUCCHIERI 98 LATT MS scheme |
4 |
52 MALTMAN 99 THEO MS scheme |
5 |
|
|
|
6 |
55 BECIREVIC 98 LATT MS scheme |
7 |
58 DOMINGUEZ 98 THEO MS scheme |
8 |
ASTIER 00D NOMD |
|
9 |
1 AUBIN 04A LATT MS scheme |
|
10 |
VILAIN 99 THEO MS scheme |
11 |
3 NARISON 99 THEO MS scheme |
12 |
3 AUBERT 04X THEO |
|
13 |
2 JAMIN 02 THEO MS scheme |
|
14 |
5 NARISON 95C THEO MS scheme |
15 |
5 HOANG 04 THEO |
|
16 |
4 BAUER 04 THEO |
|
17 |
27 EICKER 97 LATT MS scheme |
18 |
6 AUBIN 04A LATT MS scheme |
19 |
17 CHIU 02 LATT MS scheme |
20 |
19 MALTMAN 01 THEO MS scheme |
21 |
7 JAMIN 02 THEO MS scheme |
22 |
5 NARISON 95C THEO MS scheme |
23 |
14 BECIREVIC 03 LATT MS scheme |
24 |
6 MCNEILE 04 LATT |
|
25 |
20 AOKI 00 LATT MS scheme |
26 |
21 GOECKELER 00 LATT MS scheme |
27 |
7 JAMIN 02 THEO MS scheme |
28 |
NARISON 99 THEO MS scheme |
29 |
9 JAMIN 95 THEO MS scheme |
30 |
10 NARISON 95C THEO MS scheme |
31 |
61 EICKER 97 LATT MS scheme |
32 |
59 CHETYRKIN 97 THEO MS scheme |
33 |
9 CORCELLA 03 THEO |
|
34 |
7 BAUER 03 THEO |
|
35 |
11 EIDEMULLER 03 THEO |
|
36 |
16 KUHN 01 THEO |
|
37 |
13 MAHMOOD 03 THEO |
|
38 |
8 BORDES 03 THEO |
|
39 |
49 GOECKELER 00 LATT MS scheme |
40 |
18 PINEDA 01 THEO |
|
41 |
19 BARATE 00V ALEP |
|
42 |
50 AOKI 99 LATT MS scheme |
43 |
15 ABBIENDI 01S OPAL |
|
44 |
40 GAMIZ 03 THEO MS scheme |
45 |
12 ERLER 03 THEO |
|
46 |
55 BECIREVIC 98 LATT MS scheme |
47 |
45 MALTMAN 02 THEO MS scheme |
48 |
17 NARISON 01B THEO |
|
49 |
10 DEDIVITIIS 03 LATT |
|
50 |
14 PENIN 02 THEO |
|
51 |
41 GAMIZ 03 THEO MS scheme |
52 |
BECIREVIC 03 LATT MS scheme |
53 |
44 JAMIN 02 THEO MS scheme |
54 |
39 CHIU 03 LATT MS scheme |
55 |
48 AOKI 00 LATT MS scheme |
56 |
56 CHETYRKIN 98 THEO MS scheme |
57 |
47 KOERNER 01 THEO MS scheme |
58 |
42 ALIKHAN 02 LATT MS scheme |
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