Abstract
Following recent developments in the hypothesis of a discrete space-time lattice, some assumptions are postulated that seem necessary to work out this model in the theory of special relativity. In particular, the assumption of space-time coordinates with integer values requires the translation of relativistic mechanics and electrodynamics into the language of finite difference equations. A special study of the covariance of these equations under the inhomogeneous Lorentz group is carried out. Finally, a stronger assumption is postulated, by which the physical magnitudes derived from the space-time coordinates should take rational values.
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