  The third modification of the space-time geometry is considered. (The first
modification is the spacial relativity, the second one is the general
relativity.) After the third modification of the space-time geometry the motion
of free particles become to be primordially stochastic (multivariant). This
circumstance forces one to construct a multivariant dynamics. The multivariant
dynamics is the classical dynamics in the non-Riemannian space-time geometry.
The multivariant dynamics explains quantum effects without a reference to the
quantum principles. Elimination of quantum principles admits one to solve the
main problem of relativistic quantum theory: unification of the principles of
relativity with the nonrelativistic quantum principles.
