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Universal Constant 7 May 2007,  www.jemartin1@hotmail.com

 

 

 

 

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.

        Table 4          
        (Fl = 2.87992961524744)        
                   
      % error theorectical mass        
  λ de Broglie between mass found by       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 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 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

 

 
PDG
reference
k      
1 Graviton?    
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