Authors: Jay R. Yablon
Employing Dirac’s suggested approach to “perfect and generalise the mathematical formalism that forms the existing basis of theoretical physics,” and thereafter “try to interpret the new mathematical features in terms of physical entities,” we obtain the complete set of mathematical solutions to the Wu-Yang differential equation for Dirac monopoles to find three general classes of solutions. The first set includes the Dirac Quantization Condition but generalizes to encompass fractional charges also. The second set includes charge quantization without any fractionalization, in the absence of magnetic monopoles. The third set includes electric and magnetic charges but exhibits a breaking of the electric-magnetic duality symmetry not only due to the low-energy experimental coupling ~1/137, but even at the theoretical level. We then offer some preliminary physical interpretations and suggest a path for experimental validation based on the fractionalized charge solutions which are part of the first solution set.
Comments: 28 Pages.
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[v1] 2015-03-07 14:42:18
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