The concept of a closed quantized flux loop ("elementary loop") which avoids the implication of magnetic monopoles is investigated, leading to a theory of a charged lepton (muon or electron). In order to reconstruct a continuous magnetic dipole field of a source lepton, it is assumed that the flux loop adopts a statistical distribution of alternative forms characterized by a complex probability amplitude superposition, in a manner somewhat analogous to the superposition of path histories in Feynman's space-time approach to quantum mechanics. Flux quantization results from the equivalence of a line discontinuity of the phase factor of a $\psi$ function of a field lepton (due to its phase multivaluedness by $\pm 2\pi$) to the presence of a line of quantized flux. On the same basis as quantized flux arises from such a singularity of that phase factor, so also an electric field arises when this singularity line is moving. In particular, the source's Coulomb field results from a spinning of the quantized flux loop (about the center of the source) with an angular velocity equal to the Zitterbewegung frequency $\frac{2m{c}^2}{\hslash }$, if the statistical distribution of flux loopforms properly represents the magnetic dipole field of a muon or of an electron. The reconstruction of the magnetic and electric fields of a charged lepton and the comparison of them with the quantized flux $\frac{\mathrm{hc}}{e}$ gives a numerical estimate of the electromagnetic interaction constant $\frac{e^2}{\hslash c}$, i.e., an understanding of the relationship between $e$ and $\hslash$. The energy $m{c}^2$ and angular momentum $\frac{\hslash }{2}$ may be interpreted as electromagnetic. The theory should work for both muon and electron and is expected to give some insight into the ratio of the masses of these two leptons. A representation of quarks in terms of linked quantized flux loops is suggested to describe a low-lying meson as a linkage of an elementary loop with an antiloop, and a low-lying baryon as three interlinked elementary loops. We are here developing a model approach to problems of structure and conservation laws in particle physics. A more abstract version of a quantized flux theory of particles should be preceded by such an heuristic model.

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