> ( e l ) ω s we find electron velocity as:

v ( e l ) = 410 × 10 10 cm / sec (22)

which is larger that the speed of light, c. This is imposible! The reason for this is that the radius of the mentioned current loop is not equal to the electron radius. Therefore the right value of the radius of this current loop must be taken in to account. We know that (please see the discussion section of [6]) the radius of the current loop is a dummy variable. As far as the flux calculations are concerned the radius R of the current loop is phenomenal concept whose detailed calculation is not important. Therefore we chose the radius of this current loop such that the above speed should not exceed the speed of light, c.

v = R ω s = c (23)

When we solve Equations (20) and (23) together we find:

R = 3.86 × 10 11 cm (24)

and

ω s = 7.77 × 10 22 rad / sec (25)

So we can say that in the current loop model electron is spinning in a circular ring of radius R = 3.86 × 10 11 cm with the speed of light, c and with an angular velocity ω s = 7.77 × 10 22 rad / sec . Furthermore, since v = c , according to the relativity theory [12], the relativistic mass, m of a speedy particle will have a non-zero limit if and only if m0 is zero:

m = m 0 1 v 2 c 2 (26)

That is to say; If the spinning speed is equal to the speed of light, c, the Equation (26) can only be non-zero if and only if m0 is zero. Since spinning is an unseperable part of electron we may say that mass of electron is non-zero and is equal to the mass, m = 9.11 × 10 28 g .

3. Conclusions

We have calculated the spinning speed of a free electron in the current loop model which is a correct one as it produced the magneticflux due to spin of electron as Φ e ( s ) = h c 2 e = Φ 0 / 2 .

By using the Equation (20) and R ω s = c , we were able to calculate the radius of this current loop R and cyclotron frequency, ω s of electron on this current loop. These values are: R = 3.86 × 10 11 cm and ω s = 7.77 × 10 22 rad / sec .

More importantly it is shown that if electron was not spinning the mass of electron would be zero. But since spinning is unseparable part of electron we say that mass of electron is non-zero and is equal to m = 9.11 × 10 28 g .

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

References

[1] Saglam, M., Sahin, G. and Gur, H. (2018) Results in Physics, 10, 973.
https://doi.org/10.1016/j.rinp.2018.08.014
[2] http://phys.org/news/2016-11-national-maglab-racks-world-hybrid.html
[3] https://www.ru.nl/hfml/facility/experimental/magnets
[4] Potekhin, A.Y., Yakovlev, D.G., Chabrier, G. and Gnedin, O.Y. (2003) The Astrophysical Journal, 594, 404-418.
https://doi.org/10.1086/376900
[5] Alaa, I.I., Swank, J.H. and William, P. (2003) The Astrophysical Journal, 584, L17-L21.
https://doi.org/10.1086/345774
[6] Saglam, M. and Boyacioglu, B. (2002) International Journal of Modern Physics B, 16, 607.
https://doi.org/10.1142/S0217979202010038
[7] Wan, K. and Saglam, M. (2006) International Journal of Theoretical Physics, 45, 1132.
https://doi.org/10.1007/s10773-006-9118-z
[8] Yilmaz, O., Saglam, M. and Aydin, Z.Z. (2007) Old and New Concepts of Physics, 4, 141.
https://doi.org/10.2478/v10005-007-0007-x
[9] Barut, A.O., Bozic, M. and Maric, Z. (1992) Annals of Physics, 214, 53.
https://doi.org/10.1016/0003-4916(92)90061-P
[10] Rosen, N. (1951) Physical Review, 82, 621.
https://doi.org/10.1103/PhysRev.82.621
[11] Schulman, L. (1968) Physical Review, 176, 1558.
https://doi.org/10.1103/PhysRev.176.1558
[12] Griffiths, D.J. (1999) Introduction to Electrodynamics. 3rd Edition, Prentice-Hall, London.
[13] Saglam, Z. and Boyacioglu, B. (2018) Acta Physica Polonica A, 133, 1129-1132.
https://doi.org/10.12693/APhysPolA.133.1129
[14] Sakurai, J.J. and Napolitano, J. (2010) Modern Quantum Mechanics. 2nd Edition, Pearson Education Inc., London.
[15] Feynman, R.P. and Leighton, R.B. (1964) Matthew Sands. 4th Edition, Addison Wesley Publishing Company, Boston.

  
comments powered by Disqus
JMP Subscription
E-Mail Alert
JMP Most popular papers
Publication Ethics & OA Statement
JMP News
Frequently Asked Questions
Recommend to Peers
Recommend to Library
Contact Us

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.