## Discrimination
of particle masses in multivariant space-time geometry

## 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 December 9,
2007

#### Abstract

#### Multivariance of geometry
means that at the point P_0 there exist many vectors P_0P_1, P_0P_2,... which
are equivalent (equal) to the vector Q_0Q_1 at the point Q_0, but they are not
equivalent between themselves. The discrimination capacity (zero-variance) of
geometry appears, when at the point $P_{0}$ there are no vectors, which are
equivalent to the vector Q_0Q_1 at the point Q_0. It is shown, that in some
multivariant space-time geometries some particles of small mass may be
discriminated (i.e. either they do not exist, or their evolution is impossible)
. The possibility of some particle discrimination may appear to be important
for explanation of the discrete character of mass spectrum of elementary
particles.

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