#
Non-Riemannian geometry as a reason of the third modification of the

# 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://gas-dyn.ipmnet.ru/~rylov/yrylov.htm

Updated December 31, 2006

#### abstract

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.

There is
text of the paper in English (ps, pdf ) and in Russian (ps, pdf) and figures (1ps) (2ps)