Summary
We consider, in analogy to electromagnetic anyons as charge magnetic-flux composite, the gravitational anyons as mass-spin )energy-spin) composite. We show that torsion interaction has many features in common with the Chern-Simons term, so supporting the possiblity of a gravitational anyon arising from torsion without introduction of the Chern-Simons term (and so without any arbitrary parameter).
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de Sabbata, V., Sivaram, C. Anyons and torsion. Nuov Cim B 107, 1201–1205 (1992). https://doi.org/10.1007/BF02727205
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DOI: https://doi.org/10.1007/BF02727205