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Fine Structure Constant (1/137)

 
 
Reply Wed 26 Aug, 2020 05:19 pm
The Fine Structure Constant, as a rational number, may be 1/[(3!)(23)+1].
Here 3! is the number of ordered pairs that can be formed from a set of 3
elements, and 23 is the dimension of the perfect sphere-packing of the
Golay Code (for error-correction over Z_2) ---that has a length of 23.
Has this notion been seen elsewhere? Feynmann was looking for this.
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knaivete
 
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Reply Wed 26 Aug, 2020 07:22 pm
@CFjohnny55,
In a word, no, your confabulation is 0.007299007 repeater.

In any case your expression does not equal 1/137 but 1/139 which is further from the mark.

The fine structure constant, alpha (α), describes how electromagnetic radiation affects charged particles. It has the numerical value 0.007297351, with an uncertainty of 6 in the last decimal place, and as such is one of the best-measured numbers in physics.
CFjohnny55
 
  0  
Reply Wed 26 Aug, 2020 09:25 pm
@knaivete,
Yeah, that should be be 3!(23)-1. The multiplicative group
of a prime order that extends to an additive group when the
extra (0) element is included. 137 and 139 are twin primes,
and their product is 138^2 - 1 = [3!(23)]^2.
Try that again. And it is NOT the experimental value!
The experimental value is (1-e)/137, where 0<e<<1.
I.e., a perturbation. Thanks for your post!
CFjohnny55
 
  0  
Reply Wed 26 Aug, 2020 09:28 pm
Again, we know that the measured value is not (1/137).
However, Feynmann, Pauli and others suspect 137 highly.
Reconciling the discrepancy will be challenging.
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CFjohnny55
 
  -1  
Reply Thu 27 Aug, 2020 10:46 am
@CFjohnny55,
Yikes, I did it again. Those pesky 1's... anyway--
That should be 138^2 - 1 = [3!(23)]^2 - 1 = 137 .
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CFjohnny55
 
  -1  
Reply Thu 27 Aug, 2020 11:28 am
@CFjohnny55,
Yikes, I did it again. Those pesky ones...
It should be: 138^2 - 1 = [3!(23)]^2 - 1 = 137.
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CFjohnny55
 
  1  
Reply Thu 3 Sep, 2020 01:51 pm
137 is a lower bound for the Fine Structure Constant, and 137.036 is a good (experimental) upper bound. The actual value is measured at very slightly less than 137.036, but still definitely less . Under extraordinary energy conditions, such as with the z-boson, the measured value of the constant can be as low as about 127, more or less, and close to 127, too. But for everyday life in the our world, it is almost everywhere just a small (e.g., <0.03%) difference. The Grand Unified Theory must account for this phenomenon. These experimental measurements are performed under the presumption that Relativistic Mechanics is everywhere the same, even in the sub-microscopic domain of atoms, electrons and quarks.
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