Feynman cited the Game of Life as an example of cellular automata.
He wondered what was at the smallest level of the universe.
One possible answer was that it was a cellular automaton.
The notion is that, at the lowest level, the "continuum" might be discrete in both space and time, and the laws of physics might be a macroscopic result of the behaviour of those tiny cells.
Each cell could be a simple automaton that obeys a small set of rules and communicates only with its nearest neighbours, like the lattice calculation for Lattice QCD.
If the universe in fact worked this way, it would have testable consequences, such as an upper limit on the density of information per cubic meter of space.

Source: Cellular Automata | Talk: Bekenstein bound | Wikipedia

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Feynman's Theory of Cellular Automata