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 May 28, 2008
Dynamics
is considered as a corollary of the space-time geometry. Evolution of a
particle in the space-time is described as a chain of connected equivalent
geometrical objects. Space-time geometry is determined uniquely by the world
function σ. Proper modification of the Minkowskian world function for
large space-time interval leads to wobbling of the chain, consisted of timelike
straight segments. Statistical description of the stochastic world chain
coincides with the quantum description by means of the Schrödinger equation.
Proper modification of the Minkowskian world function for small space-time
interval may lead to appearance of a world chain, having a shape of a helix
with timelike axis. Links of the chain are spacelike straight segments. Such a
world chain describes a spatial evolution of a particle. In other words, the
helical world chain describes the particle rotation with superluminal velocity.
The helical world chain associated with the classical Dirac particle, whose
world line is a helix. Length of world chain link cannot be arbitrary. It is
determined by the space-time geometry and, in particular, by the elementary length.
There exists some discrimination mechanism, which can discriminate some world
chains.
There is
text of the paper in English (pdf) and
in Russian (ps, pdf).
Figures fig.1.