[Physics] Calculation of the fine structure constant

[Tufail Abbas]

Dear Jesus,

Congratulations for publishing this paper.

Fine structure constant is indeed an important to gravitation.

I agree that equation which you have found, should be a subset of a much
more complex equation which encapsulates motion and stillness (atleast in
our part) of the Universe.

If one root exist as alpha, then there is no reason why other roots should
not exist.

We should not forget that fine structure constant is value
calculated/found  on earth. So the Sommerfeld Interpretation, that it is
related to ratio of electron velocity to speed of light holds only on
earth. Similarly, compton wavelength has been calculated based upon
experiments done on earth.

But the velocity of electron in the first orbit may vary depending upon
position of hydrogen atom in the Solar System or Universe?? On earth it
should be more or less constant.

If so, then ratio should change if we go to other planet or sun or some
other position , since velocity of light is constant. And if we accept
that, fine structure constant is *defined* by this ratio then the constant
will change depending upon position in Universe.

So the value of fine structure constant *that we get on earth* may be a
particular root of that equation, which may be applicable for , *say Solar
System.*

I don't know how to verify, check or falsify this.

Regards,

Tufail

On Fri, 6 Jul 2018, 16:01 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.
>
>
>
>
>
>
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