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2015 Applications of the Local Algebras of Vector Fields to the Modelling of Physical Phenomena
Igor V. Bayak
J. Geom. Symmetry Phys. 38: 1-23 (2015). DOI: 10.7546/jgsp-38-2015-1-23

Abstract

In this paper we discuss the local algebras of linear vector fields that can be used in the mathematical modelling of physical space by building the dynamical flows of vector fields on eight-dimensional cylindrical or toroidal manifolds. It is shown that the topological features of the vector fields obey the Dirac equation when moving freely within the surface of a pseudo-sphere in the eight-dimensional pseudo-Euclidean space.

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Igor V. Bayak. "Applications of the Local Algebras of Vector Fields to the Modelling of Physical Phenomena." J. Geom. Symmetry Phys. 38 1 - 23, 2015. https://doi.org/10.7546/jgsp-38-2015-1-23

Information

Published: 2015
First available in Project Euclid: 27 May 2017

zbMATH: 1348.53015
MathSciNet: MR3380216
Digital Object Identifier: 10.7546/jgsp-38-2015-1-23

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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