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Foundations of Physics

, Volume 8, Issue 3–4, pp 303–311 | Cite as

Nine-vectors, complex octonion/quaternion hypercomplex numbers, lie groups, and the ‘real’ world

  • James D. EdmondsJr.
Article

Abstract

A “mental” multiplication scheme is given for the super hypercomplex numbers, which extend the 16-element Dirac algebra to 32 elements by appending the complex octonions. This extends the 5-vectors of relativity to 9-vectors. The problems with nonassociativity, for the group structures and wave equation covariance, are explored.

Keywords

Covariance Wave Equation Multiplication Scheme Group Structure Equation Covariance 
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 Corporation 1978

Authors and Affiliations

  • James D. EdmondsJr.
    • 1
  1. 1.Department of PhysicsBucknell UniversityLewisburg

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