I found it a funny thought experiment to imagine that this conversation happens between Game of Life agents discussing the Standard Model. The kind of fool-proof defenses you are discussing might be impossible in our world, too. But according to this analogy, it might be possible in the Game of Life world that after a tumultuous initial period, the world becomes a safer place, and agents with 99.9% effective defenses emerge.
Conway’s Game of Life is Turing-complete. Therefore, it is possible to create an AI in it. If you created a 3^^3 by 3^^3 Life board, setting the initial state at random, presumably somewhere an AI would be created. Would this AI somehow take over the whole game board, if given enough time?
Would this be visible from the top, as it were?
EDIT: I probably meant 3^^^3, sorry. Also, by generating at random, I meant 50% chance on. But any other chance would work too, I suspect.