#### Relativistic nature of nonrelativistic quantum
mechanics and

#### multivariance 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://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated November 12 , 2013

#### abstract

One uses
the investigation strategy: "Find a mistake in foundation of physics and correct it". Two fundamental
defects are corrected: (1) nonrelativistic concept of the particle state, (2)
inadequacy of the differential geometry formalism at the metric approach to
geometry. Usage of relativistic concept of the particle state admits one to
create united formalism for description of deterministic and stochastic
particles motion. The quantum mechanics is founded as a statistical description
of the stochastic particles motion. Stochasticity of the quantum particles
motion is explained by multivariance of the space-time geometry, which leads to
the world lines wobbling of elementary particles. Relativistic concept of the
particle state and the metric approach to the space-time geometry admit one to
construct the skeleton conception of elementary particles. The skeleton
conception admits one to investigate the arrangement of elementary particles
(but not only to systamatize them, ascribing quantum numbers to them)..

There is text of the paper in English pdf ps and in Russian pdf ps