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://www.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)