2007/12/09 by Yuri A. Rylov, Rylov, Yuri A.
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0712.1335
16 pages, 0 figures, removal of extra root
arxiv created 2007/12/11 · arxiv updated 2009/12/01
Multivariance of geometry means that at the point P0 there exist many vectors P0P1, ¶0P2,... which are equivalent (equal) to the vector \Q0Q1 at the point Q0, but they are not equivalent between themselves. The discrimination capacity (zero-variance) of geometry appears, when at the point P0 there are no vectors, which are equivalent to the vector Q0Q1 at the point Q0. 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.