International Journal of Theoretical Physics

, Volume 32, Issue 1, pp 63–88 | Cite as

Complex geometry, unification, and quantum gravity. I. The geometry of elementary particles

  • Thomas R. Love


The Poincaré group is replaced byU(3, 2), the pseudounitary extension of the de Sitter groupSO(3, 2), as internal and space-time symmetries are combined in a geometric setting which invalidates the no-go theorems. A new model of elementary particles as vertical vectors on the principal fiber bundleU(3, 2) →U(3, 2)/U(3, 1)×U(1) is introduced and their interactions via Lie bracket analyzed. The model accounts for the four known superselection rules: spin, electric charge, baryon number, and lepton number.


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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Thomas R. Love
    • 1
  1. 1.Department of Mathematical SciencesUniversity of Nevada-Las VegasLas Vegas

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