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I have been incrementally making progress on thinking about complete geometrization of physics via S4 theory.  It is fairly clear to me now that electromagnetism can be described via the normal geodesic circles of a three-dimensional submanifold M in S4(1/h).  Note that the length of these geodesics is $1/\hbar$ and the time taken for light to traverse the dimeter is $1/\hbar c$.  This term appears directly in the STANDARD gauge transformation of electromagnetism in quantum mechanics.