## Discriminating
properties of compactification in discrete uniform

## isotropic
space-time

## Yuri A. Rylov

*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://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated May 10, 2011

#### abstract

Compactification
of the 5-dimensional Kaluza-Klein space-time geometry is considered. The
space-time geometry is supposed to be discrete, uniform and isotropic. It is
shown, that consideration of the space-time geometry as a physical geometry,
i.e. as a geometry described completely by the single-valued world function,
leads to a discrimination of some values of the particle charge. At the conventional
approach, when the world function becomes to be many-valued after compactification,
the value of the elementary particle electric charge remains to be
unrestricted, and this fact does not agree with experimental data. It is
important, that the discrete geometry is given on the continual set of points.
This circumstance makes admissible a compatibility of discreteness with the
uniformity isotropy of the geometry.

There is
text of the paper in English (pdf, ps) and in Russian (ps, pdf)