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Multivariance of geometry means that at the point $P_{0}$ there exist manyvectors $P_{0}P_{1}$, $\P_{0}P_{2}$,... which are equivalent (equal) to thevector $\Q_{0}Q_{1}$ at the point $Q_{0}$, but they are not equivalent betweenthemselves. The discrimination capacity (zero-variance) of geometry appears,when at the point $P_{0}$ there are no vectors, which are equivalent to thevector $Q_{0}Q_{1}$ at the point $Q_{0}$. It is shown, that in somemultivariant space-time geometries some particles of small mass may bediscriminated (i.e. either they do not exist, or their evolution isimpossible). The possibility of some particle discrimination may appear to beimportant for explanation of the discrete character of mass spectrum ofelementary particles.

Discrimination of particle masses in multivariant space-time geometry