Seed a deterministic pseudo random number generator with the states of cell and its neighbors. Sample from the PRNG to get the cell's next state. (Then, throw away the PRNG instance; it only gets used for evaluating that one cell. Seed a new PRNG for the next cell and its neighbors.)
Consider sampling not from a uniform distribution but instead from some non-uniform distribution. Some states being more common than other states is inspired by reality. What are some good skewed distributions to sample from? The binomial distribution is another non-uniform distribution.
Should a cell have a tendency to stay in the same state? This would also reflect reality: inertia.
Consider defining a Markov chain among states. What is a good way to define a nice Markov chain over 2^64 or more states? Nice is an aesthetic quality, perhaps resembling or inspired by reality. Things tending toward a sink state resembles some natural processes.
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