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 8, 2005
Development of the
contemporary theory of physical phenomena in the microcosm is considered to be
a result of development of Einstein's ideas on a possibility of the event space
modification and on a possibility of stochastic (Brownian) motion of free
particles. One considers the space-time modification, based on a new conception
of geometry. In the framework of this conception any geometry is obtained as a
result of the proper Euclidean geometry
deformation. In the framework of this conception it is possible such a
space-time geometry, where the free particle motion appears to be stochastic,
although the geometry in itself remains to be deterministic. The stochasticity intensity depends on the particle mass. It is
small for particle of a large mass, and it is essential for the particle of a
small mass. The space-time geometry may be chosen in such a way, that the
statistical description of random world lines of particles be equivalent to the
quantum description (the Schroedinger equation). At
such a choice of the space-time geometry the world function depends on the
quantum constant, and the universal character of the quantum constant is a
corollary of the fact, that all physical phenomena take place in the
space-time, whose properties depend on the value of the quantum constant. The
stochastic motion of free particles may be considered to be a kind of the
relativistic Brownian motion, whose properties are conditioned by the
properties of the
space-time geometry. At such a description the quantum principles are not used.
They can be obtained as a corollaries of the
statistical description of nonrelativistic stochastic
particles. The nonrelativistic quantum principles may
not be used for description of relativistic phenomena. They are to be modified.
This modification should be obtained from the statistical description of the
relativistic stochastic particles.
There is
text of the paper in English and in Russian, and figure