Abstract
The Bazanski approach, for deriving the geodesic equations in Riemannian geometry, is generalized in the absolute parallelism geometry. As a consequence of this generalization three path equations are obtained. A striking feature in the derived equations is the appearence of a torsion term with a numerical coefficients that jumps by a step of one half from equation to another. This is tempting to speculate that the paths in absolute parallelism geometry might admit a quantum feature.
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Wanas, M.I., Melek, M. & Kahil, M.E. New path equations in absolute parallelism geometry. Astrophys Space Sci 228, 273–276 (1995). https://doi.org/10.1007/BF00984980
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DOI: https://doi.org/10.1007/BF00984980