Justification of the Kaluza–Klein Theory within the Framework of Four-Dimensional Riemann–Cartan Geometry
- Authors: Dziakovych D.О.1
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Affiliations:
- Ukrainian Research Institute for Elastomeric Materials and Products
- Issue: Vol 243, No 1 (2019)
- Pages: 56-62
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243057
- DOI: https://doi.org/10.1007/s10958-019-04525-1
- ID: 243057
Cite item
Abstract
We consider a new approach to the geometrization of electromagnetism based on the specific interpretation of the Kaluza–Klein theory. It is proposed to represent the five-dimensional space of this theory as a formal tool for the analysis of a four-dimensional space with torsion. For this purpose, we study the consequences of parametrization of a specific space of this type along the lines of the corresponding vector field that characterizes its geometry. It is shown that, within the framework of the new approach, all results of the Kaluza–Klein theory can be also obtained for a four-dimensional space with torsion (with some distinctions and generalizations).
About the authors
D. О. Dziakovych
Ukrainian Research Institute for Elastomeric Materials and Products
Author for correspondence.
Email: melissa.delgado@springer.com
Ukraine, Dnipro
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