Finsler Geometry and a Unified Field Theory
Ralph G. Beil
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.
