A PEP model of the electron

TL;DR

This paper proposes a model where an electron emerges from a spinning magnetic dipole with a flux quantum, producing an electric field and charge-like behavior without fundamental charge, extending Maxwell's equations.

Contribution

It introduces a PEP model of the electron based on a spinning magnetic dipole, deriving charge and electromagnetic fields without fundamental charge.

Findings

Gauss' law finds charge in the model despite no fundamental charge.

The model reproduces the electron's electric and magnetic fields from a magnetic dipole.

Maxwell's equations are extended to include a transverse electric displacement current.

Abstract

One of the more profound mysteries of physics is how nature ties together EM fields to form an electron. A way to do this is examined in this study. A bare magnetic dipole containing a flux quantum spins stably, and produces an inverse square E= -vxB electric field similar to what one finds from charge. Gauss' law finds charge in this model, though there be none. For stability, a current loop about the waist of the magnetic dipole is needed and we must go beyond the classical Maxwell's equations to find it. A spinning E field is equivalent to an electric displacement current. The sideways motion of the spinning E (of constant magnitude) creates a little-recognized transverse electric displacement current about the waist. This differs from Maxwell's electric displacement current, in which E increases in magnitude. The sideways motion of E supports the dipolar B field, B=vxE/c^2. Beyond the very core of the magnetic dipole, each of these two velocities is essentially c and vxE/c^2 = vx(-vxB)/c^2 = B, the spinning E field wholly sourcing the dipolar B field. The anisotropy of the vxB field is cured by precession about an inclined axis. Choosing a Bohr magneton for the magnetic dipole and assuming it spins at the Compton frequency, Gauss' law finds Q = e. The vxB field, normally thought to be solenoidal, becomes instead a conservative field in this model. Charge is recognized as merely a mathematical construct, not fundamental but nevertheless useful. With charge deleted, and with addition of the transverse electric displacement current, Maxwell's equations can be written in terms of the E and B fields alone.