Foundations of Physics

, Volume 16, Issue 5, pp 483–497 | Cite as

The boundary of a boundary principle: A unified approach

  • Arkady Kheyfets
Part IV. Invited Papers Dedicated To John Archibald Wheeler


The boundary of a boundary principle in field theories is described. The difference in treatment of the principle in electrodynamics and general relativity is pointed out and reformulated in terms of underlying mathematical structure of the theories. The problem of unifying the treatment is formulated and solved. The role of E. Cartan's concept of the moment of rotation associated with the curvature of a Levi-Civita connection on a frame bundle is shown to be crucial for the unification. The analysis of the boundary of a boundary principle in Kaluza-Klein theory is performed and the recipe for a unified treatment of the principle in electrodynamics and general relativity is shown to follow from the analysis. It is pointed out that the unification cand be extended to Yang-Mills fields easily.


Field Theory General Relativity Unify Approach Mathematical Structure Unify Treatment 
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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Arkady Kheyfets
    • 1
  1. 1.Center for Theoretical PhysicsThe University of Texas at AustinAustin

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