## Radius of Single Fluxon Electron Model Identical with Classical Electron Radius

**Authors:** U. Kayser-Herold

Analytical determination of the magnetic flux included in the electron's dipole field - with consideration of magnetic flux quantization - reveals that it precisely comprises one magnetic flux quantum $\Phi_{0}$. The analysis further delivers a redefinition of classical electron radius $r_{e}$ by a factorized relation among electron radius $r_{e}$, vacuum permeability $\mu_{0}$, magneton $\mu_{B}$ and fluxon $\Phi_{0}$, exclusively determined by the electron's quantized magnetic dipole field:
\begin{center}
$r_{e} =\mu_{0}\hspace{1} \mu_{B}\hspace{1}(\Phi_{0})^{-1}= e^{2}/ 4 \pi \epsilon_{0} m_{e} c^{2}$
\end{center}
The single fluxon electron model further enables analytical determination of its vector potential at $r_{e}$: $\vec{A}_{re} = \vec{\Phi}_{0}/2\pi r_{e}}$
and canonical angular momentum: $ e \vec{A}_{re}\hspace{2} 2 \hspace{2}\pi r_{e} %= e \hspace{2}\vec{\Phi_{0}} 2 \hspace{2}\pi
= \hbar/2$.\\
Consideration of flux-quantization supports a toroidal electron model.

**Comments:** 6 Pages.

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### Submission history

[v1] 2017-02-13 15:50:27

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