Proper-Time Electron Formalism

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Abstract
A classical and first quantized formalism is presented which gives a complete description of electrons in a given electromagnetic field, including real and virtual pair processes. The Feynman viewpoint of electrons propagating through space-time is adopted throughout. Interactions between electrons are considered only in the classical theory, and a nonlocal interaction is assumed to make all effects finite. Consideration of interactions in the quantized theory is reserved to field quantization, which will be presented in a following paper. The calculation of transition probabilities gives the results of hole theory as interpreted by Feynman.

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