NOTE: Simple connectedness of spacetime in the path topology

Physics

Scientific paper

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Scientific paper

We extend earlier work on the simple-connectedness of Minkowski space in the path topology of Hawking, King and McCarthy, showing that in general a spacetime is neither simply connected nor locally simply connected. We also show that distinct closed Feynman paths are never homotopically equivalent, so that spacetime is in a sense as non-simply connected as possible.

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