## The
way to skeleton conception of elementary particles

## 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 May 27, 2013

#### abstract

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 $\lambda _{0}^{2}=\hslash /bc$, 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 (ps, pdf)