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It is shown that a wave mechanical quantum theory can be derived fromrelativistic classical electrodynamics, as a feature of the magneticinteraction of Dirac particles modeled as relativistically circulating pointcharges. The magnetic force between two classical point charges, eachundergoing relativistic circulatory motion of small radius compared to theseparation between their centers of circulation, and assuming a time-symmetricelectromagnetic interaction, is modulated by a factor that behaves similarly tothe Schr\"odinger wavefunction. The magnetic force betweenrelativistically-circulating charges has been shown previously to have aradially-directed inverse-square part of similar strength to the Coulomb force,and sinusoidally modulated by the phase difference of the charges' circulatorymotions. The magnetic force modulation in the case of relatively moving centersof charge circulation solves an equation formally identical to thetime-dependent free-particle Schr\"odinger equation, apart from a factor of twoon the partial time derivative term. Considering motion in a time-independentpotential obtains that the modulation also satisfies an equation formallysimilar to the time-independent Schro\"dinger equation. Using a formula forrelativistic rest energy advanced by Osiak, the time-independent Schr\"odingerequation is solved exactly by the resulting modulation function. Thesignificance of the quantum mechanical wavefunction follows straightforwardlyfrom these observations. After considering the modification of Wheeler-Feynmanabsorber theory required by the adoption of Minkowski-Osiak relativity, themodel is extended to obtain the full complex Schr\"odinger wavefunction.

Quantum Wave Mechanics as the Magnetic Interaction of Dirac Particles