An Improved Interpretation of Quantum Mechanical Results

When point particles are eliminated from theory, the square of solutions of the Dirac and Schrodinger equations becomes a mass density that replaces the long-used probability distribution. Let electromagnetic fields be continuous everywhere, Maxwell's equations be valid, and use second-order calculus of variations to obtain fundamental equations from a covariant action in which the usual term involving particle mass m has been replaced by a term involving an integral over the covariant mass density µ associated with the fields. The resulting equations yield, on the one hand, a covariant equation of motion and solutions of the Dirac and Schrodinger equations for a moving charged body, and on the other hand give equations describing charged bodies surrounded by closed equipotentials and stabilized by electromagnetic self-fields. Charge distributions can easily be drawn or visualized. Body properties are calculated from the fields. At this time there are no strong forces, point bodies, probabilities, or extra dimensions required. This "simple" theory may combine electrodynamics, quantum mechanics, and particle theory with fewer and easier concepts than are now commonly used.