  Here we analyze the physical concepts of non-locality, multi-universe, and
cosmological principle in the framework of a space-time discrete model
previously developed. In previous developments of this model we have elucidated
as derivative concepts those of time, space-time, reference frame, particle,
interaction between systems of particles, field, interaction between fields,
detector of particle, and wave function. We start from the primitive concept of
preparticle and four postulates alluding simple concepts. The fundamental
postulate says that space-time points can be represented by equivalent classes
of points of crossing between particles having the same structure. In this way
each point of space-time is represented by an equivalent class corresponding to
a different structure from the one of any other equivalent class representing a
space-time point. We have considered a new way to define system of observation
and detector of particles, which leads to non- local properties of the
space-time model considered. Finally we have speculated about dark matter and
dark energy in the frame work of our model.
