Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://www.ipmnet.ru/~rylov/yrylov.htm
Updated
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.
There is
text of the paper in English (pdf) and
in Russian (ps, pdf)