[Physics] Calculation of the fine structure constant

[Jesus Sanchez]

Yes, I agree your comment. It is not really clear if the fine structure
constant is really constant or not. Even, some observations lead to the
conclusion that the value may have changed from the beginning of the
universe until now. This means, that apart from depending on time, it could
happen the same also depending on space position (gravitational conditions
etc...). As you comment, I think we are far to be able to make experiments
to prove it or reject it. Now, we can only work with best guesses or
theoretical calculations. Thanks a lot for your comment!!

El vie., 6 jul. 2018 15:27, Tufail Abbas <tufail.abbas at gmail.com> escribió:

> 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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