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Ralph G. Beil
local time: 2024-03-29 05:33 (-05:00 DST)
Ralph G. Beil (Abstracts)
Titles Abstracts Details
  • Finsler Geometry and Relativistic Field Theory (2003) [Updated 7 years ago]

    Finsler geometry on the tangent bundle appears to be applicable to relativistic field theory, particularly, unified field theories. The physical motivation for Finsler structure is conveniently developed by the use of ??gauge?? transformations on the tangent space. In this context a remarkable correspondence of metrics, connections, and curvatures to, respectively, gauge potentials, fields, and energy-momentum emerges. Specific relativistic electromagnetic metrics such as Randers, Beil, and Weyl can be compared.


  • Finsler Geometry and a Unified Field Theory (1996) [Updated 7 years ago]

    Contemporary Mathematics, 196: 261-272. A unified theory of gravitation and electromagnetism is developed from a type of Finsler tangent space transformation proposed long ago by Chern. The theory is in some ways similar to Kaluza-Klein theory, but has an alternate geometric foundation and also leads to some different physical interpretations. The theory produces a geodesic equation which is the Lorentz charged particle equation. It also gives Einstein field equations in which the electromagnetic energy-momentum are directly derived from the curvature.