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