[Physics] Calculation of the fine structure constant

[Ruud Loeffen]

Hello Jesus.

Congratulations again on your "Calculations of the fine structure constant.
I especially like your  Acknowledgements ☺👍
I hope you will find soon an intriguing explanation, following on: *"Later
some interpretations of Equation (2) have been given, mainly understanding
that it should be related with the electromagnetic interactions inside the
atom."* That will be an important step too.
Unfortunately I am not equipped to validate your calculations, but I am
sure they are well checked by you and others.

Good luck!

Best regards.

Ruud Loeffen.

On Fri, Jul 6, 2018 at 2:01 PM, Jesus Sanchez <
jesus.sanchez.bilbao at gmail.com> wrote:

> Dear members of Physics list,
>
> I attach you a paper I have published in the journal of High Energy
> Physics Gravitation and Cosmology.
>
> http://www.scirp.org/Journal/PaperInformation.aspx?PaperID=85840
>
> It is regarding an equation to calculate the fine structure constant. Of
> course, any comment, would be welcome.
>
> Thanks a lot,
> Best Regards,
> Jesús Sánchez
>
> Abstract:
>
> The fine-structure constant α [1] is a constant in physics that plays a
> fundamental role in the electromagnetic interaction. It is a dimensionless
> constant, defined as: α=q^2/(2ε_0 hc)=0.0072973525664 (1) Being q the
> elementary charge, εo the vacuum permittivity, h the Planck constant and c
> the speed of light in vacuum. The value shown in (1) is according CODATA
> 2014 [2]. In this paper, it will be explained that the fine-structure
> constant is one of the roots of the following equation: cos⁡(α^(-1)
> )=e^(-1) (2) being e the mathematical constant e (the base of the natural
> logarithm). One of the solutions of this equation is: α=0.0072973520977 (3)
> This means that it is equal to the CODATA value in nine decimal digits (or
> the seven most significant ones if you prefer). And therefore, the
> difference between both values is: Difference=(α(1)-α(3))/(α(1))·100=0.00000642%
> (4) This coincidence is higher in orders of magnitude than the commonly
> accepted necessary to validate a theory towards experimentation. As the
> cosine function is periodical, the equation (2) has infinite roots and
> could seem the coincidence is just by chance. But as it will be shown in
> the paper, the separation among the different solutions is sufficiently
> high to disregard this possibility. It will also be shown that another
> elegant way to show equation (2) is the following (being i the imaginary
> unit): e^(i/α)-e^(-1)=-e^(-i/α)+e^(-1) (5) Having of course the same root
> (3). The possible meaning of this other representation (5) will be
> explained.
>
>
>
>
>
>


-- 
*Ruud Loeffen*
Paardestraat32
6131HC Sittard
http://www.human-DNA.org
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