Imagine a function, let’s say “phi” , that generates conway’s games of life such that none of these games are periodic (repeat after any x generations) or become stable after some generations. If our universe is simulate-able then it must be a part of this set generated by such phi, since the set would contain all possible aperiodic games. Our own universes aperiodicity is ensured by the Second law of thermodynamics, since entropy always increases. Do I make sense?

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I'm familiar with Conway's life; but the function you postulate sounds akin to the old "infinite number of monkeys would create Shakespeare's plays" gambit, and I'm not buying it.😜 So, no, I'm not following your train of thought, not without some further explanation, perhaps especially of where you're going with this?🧐