De Sitter Structured Connection and Gauge Translations

  • R. R. Aldinger


A local gauge field description of space-time is discussed using fiber bundle techniques as a theoretical framework. The basic idea is to endow ordinary Minkowski space, M4, with a somewhat richer structure than that implied by relativity by attaching to each position x M4 a copy of a four-dimensional micro-space of constant curvature characterized by an elementary subatomic length parameter R of the order of a Fermi, thus allowing for additional internal degrees-of-freedom. Therefore, two sets of variables are introduced: (i) the usual space-time variables x which determine an element of M4 and (ii) a second set ξ which are elements of an internal space F (which is identified with the fiber of a bundle constructed over M4).


Canonical Form Fiber Bundle Minkowski Space Gauge Potential Base Manifold 


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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • R. R. Aldinger
    • 1
  1. 1.Department of PhysicsEastern Illinois UniversityCharlestonUSA

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