Abstract
No significant aspect of reality seems to be infinitely divisible, except perhaps space and time. Two entities usually considered as continuums modeled by the densely ordered set of the real numbers. The formal consistency of the analog model of spacetime depends, therefore, on the consistency of the densely ordered sets, which in turn depends on the consistency of the actual infinity hypothesis. Under the assumption that reality is itself consistent, that dependence makes it possible to test the consistency of the analog model: to prove the inconsistency of the actual infinity. This paper presents five short arguments suggesting that notion could be, in fact, inconsistent. In consonance with that possibility, the paper introduces a new way of discussing on some elementary aspects of spacetime and of relativity in cell-automaton like models. It also suggests an experimental way to test a simplified digital model of spacetime.
Antonio Leon