Hodge theory used to produce finite self-energy models of the electron

Physics

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Scientific paper

The relationship between electromagnetic fields and topology is discussed. Hodge theory is generalized to classify static fields in static wormhole models. This generalization is used to show models of the electron exist which have finite self-energy. These models always have 1/R 2 electric fields and self-energies of 4πq 2/R 0, whereR 0 is the inner radius of the wormhole.

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