2016/02/19 by M. I. Wanas, M. E. Kahil, Mona M. Kamal · 5 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Closed set #Mathematics and Applications #Noncommutative and Quantum Gravity Theories #Path (computing) #Schematic #Set (abstract data type) #Term (time) #Torsion (gastropod) #gr-qc
paper · pdf · doi:10.1134/s0202289316040162
published in Gravitation and Cosmology 22(4), 345-354 (Pleiades Publishing)
arxiv created 2016/02/19 · openalex created_date 2016/06/24 · openalex publication_date 2016/10/01 · arxiv updated 2016/12/07 · openalex updated_date 2026/08/05
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.