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

$v\left(el\right)=410×{10}^{10}\text{cm}/\text{sec}$ (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 ) 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.

$v=R{\omega }_{s}=c$ (23)

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

$R=3.86×{10}^{-11}\text{cm}$ (24)

and

${\omega }_{s}=7.77×{10}^{22}\text{rad}/\text{sec}$ (25)

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

$m=\frac{{m}_{0}}{\sqrt{1-\frac{{v}^{2}}{{c}^{2}}}}$ (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, $m=9.11×{10}^{-28}\text{g}$.

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 ${\Phi }_{e}^{\left(s\right)}=\frac{hc}{2e}={\Phi }_{0}/2$.

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

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 $m=9.11×{10}^{-28}\text{g}$.

Conflicts of Interest

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

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