Solutions of Maxwell's equations for charge moving with the speed of light
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It is shown that Maxwell's equations admit solutions for charge moving with the speed of light. These are globally regular, but if the charge is one of sign only, the total energy is infinite. However, if equal amounts of positive and negative charge are present, the total energy can be finite, and such solutions seem physically unobjectionable.
KeywordsField Theory Total Energy Elementary Particle Quantum Field Theory Negative Charge
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