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New Path Equations in Absolute Parallelism Geometry

M. I. Wanas·M. Melek·M. E. Kahil
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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 appearance 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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M. I. Wanas, M. Melek, M. E. Kahil. 2002-07-28. New Path Equations in Absolute Parallelism Geometry. https://doi.org/10.1007/bf00984980

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