#### Motion of free
particle in a discrete space-time

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

Updated February 14, 2016

#### abstract

One considers the discrete
space-time geometry G_d, which is given on the set of points (events), where
the geometry of Minkowski is given. This discrete geometry is not a geometry on
lattice. Motion of a free particle is considered inG_d . . Free motion in G_d
can be reduced to a motion in geometry of Minkowski G_M in some force field.
Primordial free motion in G_d appears to be stochastic. In G_M it is difficult
to describe the force field responsible for stochastic motion of a particle.
The nature of this force field appears to be geometrical.

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