Solutions of Seiberg-Witten and Einstein-Maxwell Equations in Euclidean Signature

Physics

Scientific paper

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Scientific paper

The existence of infinite numbers of inequivalent smooth structures on 4-manifolds suggests that the statistical odds for ending up in a 4-dimensional spacetime are overwhelmingly large. We exhibit signature (++++) spacetimes that are simultaneous solutions of Einstein-Maxwell-Dirac and Seiberg-Witten equations, which are used for classifying inequivalent smooth structures.

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