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 June 18, 2013
The tachyon model of
neutrino is constructed, basing on the statement that quantum
description is a statistical description of stochastically moving particles.
Besides, the tachyon model contains two conceptual points: (1) universal
formalism of particle dynamics, describing uniformly all particles:
deterministic, stochastic and quantum, (2) discrete space-time geometry and
skeleton conception of particle dynamics. The universal formalism is a result
of a logical reloading, when the statistical ensemble becomes to be the basic
object of particle dynamics instead of a single particle. Such a reloading
admits one to describe uniformly the quantum, stochastic and deterministic
particles in terms of a statistical ensemble without a reference to principles
of quantum mechanics. Besides, one uses a relativistic state of a particle,
when the state is described by the particle skeleton (several space-time
points) instead of the point in the phase space, what is nonrelativistic
concept of the particle state. Representing the Dirac equation in terms of the
statistical ensemble, one concludes that in the deterministic approximation the
world line of the Dirac particle may be a spacelike helix with timelike
axis. The rotational component of the relativistic Dirac
particle is described nonrelativistically. It shows
that the world line may be spacelike, and the Dirac particle may be a tachyon. Neutrino is a Dirac particle, and it is a tachyon. Free quantum particles
appear to move stochastically, and this bring up the
question, what is the reason of stochastic motion of free quantum particles. It
appears, that the discrete space-time geometry is a multivariant geometry. It is a reason of stochastic
particle motion. If the elementary length $\lambda _{0}$
of the discrete space-time geometry is connected with the quantum constant $\hbar $ by the relation $\lambda _{0}^{2}=\hbar /bc$, where $b$ is some
universal constant, then statistical description of the free particle motion
coincides with the quantum description in terms of the Schr\"{o}dinger
equation.
There is
text of the paper in English pdf ps
and in Russian pdf ps