Space-like dynamics in a reversible cellular automaton

Understand

In this paper we study the space evolution in the Rule 54 reversible cellular automaton, which is a paradigmatic example of a deterministic interacting lattice gas.

• We show that the spatial translation of time configurations of the automaton is given in terms of local deterministic maps with the support that is small but bigger than that of the time evolution.
• The model is thus an example of space-time dual reversible cellular automaton, i.e.
• its dual is also (in general different) reversible cellular automaton.