International Journal of Theoretical Physics

, Volume 43, Issue 1, pp 161–177 | Cite as

Gravitation and Electrodynamics over SO(3,3)

  • D. R. Lunsford
Article

Abstract

In a series of papers, an approach to field theory is developed in which matter appears by interpreting source-free (homogeneous) fields over a 6-dimensional space of signature (3,3), as interacting (inhomogeneous) fields in space-time. The extra dimensions are given a physical meaning as “coordinatized matter.” The inhomogeneous energy-momentum relations for the interacting fields in space-time are automatically generated by the simple homogeneous relations in 6-d. We then develop a Weyl geometry over SO(3,3) as base, under which gravity and electromagnetism are essentially unified via an irreducible 6-calibration invariant Lagrange density and corresponding variational principle. The Einstein–Maxwell equations are shown to represent a low-order approximation, and the cosmological constant must vanish in order that this limit exist.

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REFERENCES

  1. Weinberg, S. (1972). Gravitation and Cosmology, Wiley, p. 7.1, p. 10.8.Google Scholar
  2. Weyl, H. (1917). Annalen der Physik, 54, 121-125, 133Google Scholar
  3. Weyl, H. (1918). Sitzungsb. Akad. der Wiss. Berlin, 465-480.Google Scholar
  4. Weyl, H. (1952). Space-Time-Matter, Dover, reprint, sec. 35, New York.Google Scholar

Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • D. R. Lunsford
    • 1
  1. 1.St. Louis

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