Wanas M.I.Kahil M.E.Kamal M.M.Astronomy DepartmentFaculty of ScienceCairo UniversityGizaEgypt; Egyptian Relativity Group (ERG)CairoEgypt; The American University in CairoNew CairoEgypt; October University for Modern Sciences and ArtsGizaEgypt; Mathematics DepartmentFaculty of GirlsAin Shams UniversityCairoEgypt2020-01-092020-01-0920162022893https://doi.org/10.1134/S0202289316040162PubMedIDhttps://t.ly/EXXpJScopusThe Bazanski approach to deriving paths is applied to Finsler geometry. The approach is generalized and applied to a new developed geometry called �Absolute parallelism with Finslerian Flavor� (FAP). A set of path equations is derived for the FAP. It is a horizontal (h) set. A striking feature in this set is that the coefficient of the torsion term jumps by a step of one-half from one equation to the other. It is tempting to believe that the h-set admits some quantum features. Comparisons with the corresponding sets in other geometries are given. Conditions for reducing the set of path equations obtained to well-known path equations in some geometries are summarized in a schematic diagram. � 2016, Pleiades Publishing, Ltd.EnglishArticlehttps://doi.org/10.1134/S0202289316040162PubMedID