Email this article An AP structure with Finslerian Flavor: Path equations
- Authors: Wanas M.I.1,2, Kahil M.E.3,4,2, Kamal M.M.5,2
-
Affiliations:
- Astronomy Department, Faculty of Science
- Egyptian Relativity Group (ERG)
- The American University in Cairo
- October University for Modern Sciences and Arts
- Mathematics Department, Faculty of Girls
- Issue: Vol 22, No 4 (2016)
- Pages: 345-354
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176048
- DOI: https://doi.org/10.1134/S0202289316040162
- ID: 176048
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
M. I. Wanas
Astronomy Department, Faculty of Science; Egyptian Relativity Group (ERG)
Author for correspondence.
Email: miwanas@sci.cu.edu.eg
Egypt, Giza; Cairo
M. E. Kahil
The American University in Cairo; October University for Modern Sciences and Arts; Egyptian Relativity Group (ERG)
Email: miwanas@sci.cu.edu.eg
Egypt, New Cairo; Giza; Cairo
Mona M. Kamal
Mathematics Department, Faculty of Girls; Egyptian Relativity Group (ERG)
Email: miwanas@sci.cu.edu.eg
Egypt, Cairo; Cairo
Supplementary files
