Non-Euclidean method of the generalized geometry construction and its application to space-time geometry
Abstract
Non-Euclidean method of the generalized geometry construction is considered. According to this approach any generalized geometry is obtained as a result of deformation of the proper Euclidean geometry. The method may be applied for construction of space-time geometries. Uniform isotropic space-time geometry other, than that of Minkowski, is considered as an example. The problem of the geometrical objects existence and their temporal evolution may be considered in the constructed space-time geometry. Such a statement of the problem is impossible in the framework of the Riemannian space-time geometry. Existence and dynamics of microparticles is considered to be conditioned by existence of corresponding geometrical objects and their temporal evolution in the space-time. Geometrization of the particle mass and its momentum is produced.
Keywords
Cite
@article{arxiv.math/0702552,
title = {Non-Euclidean method of the generalized geometry construction and its application to space-time geometry},
author = {Yuri A. Rylov},
journal= {arXiv preprint arXiv:math/0702552},
year = {2007}
}
Comments
26 pages, 0 figures, revision ofsection on null vectors