Randomly initialized life quickly collapses into stable structures, most of the time. Is this true? That would be a very profound finding. Any papers that

Randomly initialized life quickly collapses into stable structures, most of the time. Is this true? That would be a very profound finding. Any papers that discuss this? Looking at a random game of life with 10^6 cells, I get the feeling that it will not loop for a long time. Maybe it is a misunderstanding. I do not mean to find a self-replicator of size c in a field of size c. I would expect that the field is big. Very big. Let's say 10^80 cells. That is the estimate for the number of atoms in the universe. The self replicator would be way way smaller. One manually constructed replicator (Gemini) is just 10^7 cells. And that is certainly not the smallest replicator possible.