A Spin-Statistics Theorem for Certain Topological Geons

Details A Spin-Statistics Theorem for Certain Topological Geons A Spin-Statistics Theorem for Certain Topological Geons

1996-09-28

arxiv.org/abs/gr-qc/9609064v1

Class.Quant.Grav. 15 (1998) 1153-1167

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, Plain TeX with harvmac, 3 figures included via epsf

Scientific paper

10.1088/0264-9381/15/5/007

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 functional integral over metrics on a particular four-manifold. This manifold describes a topology changing process which creates a pair of geons from $R^3$.

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