  The principles of behavior of the system with discrete interactions are
applied to description of motion of the relativistic particle. Applying the
concept of non-local behavior both to position in space and to time, the
apparently covariant equation of motion of the particle (Klein-Gordon) is
defined. Based on the assumption that the form of the equation has to be
invariant in inertial reference frames, the principle of constancy of the speed
of light can be deduced. Consequently the basic statements of special
relativity can be established in relation to the principles of discrete
interaction.
  The condition that Klein-Gordon equation was established without explicit use
of the principle of correspondence gives a way to specify the area of
applicability of the statement about the speed of light as the maximal speed of
propagation of information. This would permit interpretation of superluminal
phenomena with no contradictions to special relativity.
  The conventional interpretation of time as a category which specifies
succession and coexistence of events leads to interpreting of the Klein-Gordon
and related equations (such as Maxwell or Dirac) as equations of the fields.
This would justify the procedure of second quantization, so that the states of
the field are identified with the sets of particles.
