[Physics] Situation of the calculation of alpha (the fine structure constant)

[jesus.sanchez.bilbao at gmail.com]

Dear all,

Just to inform of the last update regarding the issue. I have just added the following equation for alpha as an example in researchgate:

Dear all,
you can find in the file attached, the example of an equation for alpha (quadratic) with 0.00032% error. As commented, the exact solution would be expected in a quartic equation.
The root of the equation is: x=0.0072973291164614
while the value of alpha is: α=0.0072973525664
Error: 0.00032%
You can see the equation in the image attached. Anyhow I write it just in case:
x^2+(2*sqrt(3)*π^2+1/16)x-1/4=0

https://www.researchgate.net/project/Calculation-of-the-fine-structure-constant



Enviado desde Correo para Windows 10

De: Jesus Sanchez
Enviado: domingo, 28 de enero de 2018 21:03
Para: Physics Group
Asunto: Situation of the calculation of alpha (the fine structure constant)

Dear all,

I have been trying during the last year to find an alternative way to arrive to the value of the constant alpha 0.00729 (unitless constant). I have updated the situation of the project in researchgate and I attach it to you for your information.

Hello all,
I will explain here all that I have tried, but regretfully with no the expected results. But just in case this experience can be usefull for all of you or the next ones to come.
-First: mathematical approach. Forgetting about the meaning, I have looked for new numbers (apart from pi and the powers of two) inside the sine wave and the sphere (where the electron is moving). For example, I have found the length of the elementary sine wave in a cycle to be 7.640... (a number obtained with an integration and not related to pi). So I have tried to correlate with fine structure constant with no result. I have found a lot of new numbers if we project the sine wave in the sphere (the real length of the elctron trajectory). I have mixed all these new numbers among them, with pi, powers of two. Whatever you can imagine with no result.
-Second: Physical approach. For this what I have defined is a model where the proton is like a lighthouse and the electron is like a seagull with a rotating mirror in his head. Trying to fix that it is necessary that at certain points both things must face each other so the photons can be sent and abosrbed by the electron. Let's say like a discretization of interactions (not alll possible, only the ones that fulfill certain timing/synchronization). Also, taking into account that as the electron is moving, the mirror rotates slower than the proton because of relativistic issues (even if we consider that originally rotated at the same speed), so the synchro has to be got via distances or angles. This would lead to constraints, and the fine structure constant would appear as one of them. Believe me I have tried. Normally I would get a promising quartic equation with two complex roots (disregarded in principle) a trivial value like zero or higher than one (higher than the speed of light) and the final root, the value that should be alpha=0.00729, it is normally a value betwenn 0,2 and 0,5 far away from alpha.
Also, I have tried to considerate that these particles have spin 1/2 so an own turn is 4pi instead of 2pi, making variations in the result but continueing being far away from alpha.
The nearest I have been to alpha is 1/16pi^2 (0.00633). It is logical as it is 1/(4pi)^2 being 4pi one own turn for an electron. And the squares are easy to get when there are relatvistic issues or quartic equations. And the rest for the fine tuning (until 0.00729) would be with the rest of the coefficients of whatever the equation it is.
Sorry to give bad news but this is the situation, I will keep trying if I have more ideas or ways to follow. But the pace would be even slower than until now.


https://www.researchgate.net/project/Calculation-of-the-fine-structure-constant



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