Relativity and Cosmology

    

Charge Quantization, the Topology of the Universe, and the Hopeful Abolition of Monopoles

Authors: Warren D. Smith

This is the first of a 3-part series of papers on "the shape of the universe." Inspired by P.A.M.Dirac's discovery that the existence of even one "magnetic monopole" would logically force electric charge to be quantized (explaining why all electrons have the same charge, protons the exactly-opposite charge, etc), I show that a tiny magnetic field "trapped in the topology of the universe" also would logically force that. Which universes does this idea work in? We show it works for every compact 3-manifold topology for the universe except two. We then re-examine monopoles, showing their existence would cause a lot of nasty problems, and none have ever been detected.

Comments: 18 Pages. Paper on internet since 2000, now uplaoded to VIXRA for archival purposes.

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[v1] 2026-07-11 23:18:49

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