An AP structure with Finslerian Flavor: Path equations

作者：Wanas M I^*; Kahil M E^*; Kamal Mona M^*

来源：Gravitation and Cosmology, 2016, 22(4): 345-354.

DOI：10.1134/S0202289316040162

The 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.

• 出版日期2016-10