A spin-statistics theorem for certain topological geons

  title={A spin-statistics theorem for certain topological geons},
  author={H F Dowker and Rafael D. Sorkin},
We review the mechanism in quantum gravity whereby topological geons, particles made from non-trivial spatial topology, are endowed with nontrivial spin and statistics. In a theory without topology change there is no obstruction to \anomalous" spin-statistics pairings for geons. However, in a sum-over-histories formulation including topology change, we show that non-chiral abelian geons do satisfy a spin-statistics correlation if they are described by a wave function which is given by a… CONTINUE READING

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