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Foundations of Physics

, Volume 7, Issue 9–10, pp 673–703 | Cite as

Projective spacetime

  • B. E. Eichinger
Article

Abstract

It is suggested that the world is locally projectively flat rather than Euclidean. From this postulate it is shown that an (N+1)-particle system has the global geometry of the symmetric spaceSO(4,N+1)/SO(4)×SO(N+1). A complex representation also exists, with structureSU(2,N+1)/S[U(2)×U(N+1)]. Several aspects of these geometrics are developed. Physical states are taken to be eigenfunctions of the Laplace-Beltrami operators. The theory may provide a rational basis for comprehending the groupsSO(4, 2),SU(2)×U(1),SU(3), etc., of current interest.

Keywords

Physical State Rational Basis Particle System Complex Representation Current Interest 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corp 1977

Authors and Affiliations

  • B. E. Eichinger
    • 1
  1. 1.Department of ChemistryUniversity of WashingtonSeattle

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