Charge, from EM fields only

Abstract

Consider the electric field E about an electron. Its source has been thought a substance called charge, enclosed within a small volume that defines the size of the electron. Scattering experiments find no size at all. Charge is useful, but mysterious. This study concludes that charge is not real. Useful, but not real. Absent real charge, the electric field must look to a different source. We know another electric field, vxB, not sourced by charge. A simple model of the electron, using EM fields only, has been found that generates an electric field vxB very like E. Gauss' law finds the model contains charge, but div vxB cannot find the charge density. The model contains a permanent magnetic flux quantum, configured as a dipole. The dipolar B fields spin around the symmetry axis, accounting for angular momentum. Spin stabilizes the magnetic flux quantum, and creates the vxB electric field. Stability in this model is dynamic. Energy is exchanged between the dipolar magnetic moment and an encircling toroidal displacement current, at the Compton frequency, mc^2/h = 1.24x10^20 Hz. The electric field undulates at this rate, instead of being static like E associated with charge. Absent any real charge, we have to abandon the notion that size of a charged particle is that of a small sack full of charge. The only electric field is vxB, and its source is not charge. What is the size of an electron? Coulomb scattering finds it point-like, but its spinning B fields extend to infinity.