Conway’s Game of Life as an Analogue to a Habitable World: Livingness beyond the Biological

Conway’s Game of Life is a cellular automaton noted for its rich, complex, and emergent behaviour, which seems qualitatively ‘lifelike’. It exists within a wider space of different rulesets of cellular automata, none of which have been found to display behaviours that seem as rich as Conway’s selected example. We present here a set of three quantitative tests for ‘lifelike’ behaviour, based on the critical brain theory, Shannon’s theory of information entropy and integrated information theory, all of which are successfully able to select Conway’s Game of Life as an outlier within this set, which is a non-biological analogue to the selection of a habitable planet or universe amongst a wider space of similar settings that cannot support the same kinds of living systems.