A PEP model of the electron.

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 \textbf{E}= -\textbf{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 \textbf{E} field is equivalent to an electric displacement current. The sideways motion of the spinning \textbf{E} (of constant magnitude) creates a little-recognized transverse electric displacement current about the waist. Transverse motion of \textbf{E} supports the dipolar \textbf{B} field, \textbf{B=vxE}/c\^{}2. Beyond the very core of the magnetic dipole, each of these two velocities is essentially c and \textbf{vxE}/c\^{}2 = \textbf{vx(-vxB})/c\^{}2 = \textbf{B}. 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. Charge is useful but not fundamental. With this, Maxwell's equations can be written in terms of the E and B fields alone.