Applications of an Extended Electromagnetic Theory

Bo Lehnert
Alfven Laboratory
Royal Institute of Technology
SE-100 44 Stockholm, Sweden

An extended Lorentz invariant electromagnetic theory, based on a nonzero electric field divergence in the vacuum state, is shown to have applications within several important fields of physics. First, an electron model is obtained which results in point-charge-like geometry, thereby still having finite inte- grated charge, magnetic moment, mass, and angular momentum. This presents a possible alternative to the conventional renormalization process. A deduced value of the elementary charge is obtained which deviates by only 2.6 percent from the experimental one. This deviation can possibly be removed by a quantum mechanical correction of the magnetic flux, being analogous to that which has been deduced by Feynman for the magnetic moment. Second, a neutrino model is found to have an effective particle radius which corresponds to very long paths of interaction with solid matter. Third, a photon model has been elabo- rated, with the required angular momentum of a boson, and with the key property of needle radiation which is required in the photoelectric effect and in certain two-slit experiments. The related axisymmetric wave packet model thereby behaves as one entity, having both particle and wave properties at the same time. Finally, an example is given which indicates that instantaneous long-range interaction may possibly exist in the case of a longitudinal electric space- charge wave in presence of a curlfree magnetic vector potential.