Abstract
We investigate further the application of Finsler space-time and its gauge geometry to Maxwell’s and Yang-Mills’ theories. An important difference between gauge geometry and the conventional Finsler geometry is discussed. A formula for the total gauge covariant differentiation is obtained. The consistent mathematical properties of the metric gauge tensor, the metric connections and homogeneity conditions for gauge covariant differentiations are discussed and clarified. We calculate scalar curvature in the presence of a point charge. The physical curvature of the Finsler space-time is discussed from the field-theoretic viewpoint.
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