[Physics] Calculation of the fine structure constant

[Jesus Sanchez]

Ok, thanks a lot for your comment. Yes, it is clear that there some gaps
are still to be investigated. It is just the beginning of trying to
understand the equation (2).
Thanks a lot and best regards,
Jesús

El vie., 6 jul. 2018 14:57, Ruud Loeffen <rmmloeffen at gmail.com> escribió:

> 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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