What I'm taking away from this is that if (i) it is possible for child universes to be created from parent universes, and if (ii) the "fertility" of a child universe is positively correlated with that of its parent universe, then we should expect to live in a universe which will create lots of fertile child universes, whether this is accomplished through a natural process or as you suggest through inhabitants of the universe creating fertile child universes artificially.
I think that's a cool concept, and I wrote a quick Python script for a toy model to play around with. Your consequences seem kind of implausible to me though (I might try to write more on that later).
I have no idea how likely any of this is but I like your line of reasoning. I have to think on it more but, give your assumptions, this seems a reasonable interpretation of the evidence on first pass.
Meta: Once again I'm trying to submit this to my "personal page" and not the front page, but I really have no idea who will actually see it.
Here's a pretty simple idea I hadn't heard yet anywhere in science or science fiction. It's likely I'm not the first to think of this. It's also likely that it's nonsense, but I think it's fun nonsense. Please enjoy this in the spirit of the wild-ass speculations straddling the border between sci-fi and futurism with which Less Wrong used to be filled.
The rules of the universe are in some sense objectively unlikely, but by the anthropic principle, we shouldn't be surprised to observe them. A universe that doesn't support observers doesn't get observed.
We happen to be animals capable of creating new intelligent life by default, through a fundamental drive to replicate our genes, and a physics that supports that process. We breed.
We should condition "anthropically" on this evidence and update in favor of believing that intelligent observers are usually/commonly also "replicators" driven by natural selection propelled by lower levels of self-replication.
If you'll forgive my abuse of language, genes "want" to self-replicate, "causing" humans to "want" to self-replicate.
There is an argument that the universe may be more complicated than it strictly needs to be to support observers. If you could run a sentient observer in a Conway's Game of Life universe, and you include some kind of complexity-weighted distribution over universes, then shouldn't "most" universes and "most" observers exist in minimally complex universes?
Here is the step of the argument with the most uncertainty: There is a concept that each black hole creates a new universe.
Let's assume that black holes do indeed create new universes. If that is the case, "most" universes should be the ones just complex enough to support creation of new, similar universes. Natural selection in action, again.
However, that should put evolutionary pressure on generating universes just complex enough to create such singularities. Observers are not a requisite.
Under the above assumptions, we're in a universe that's complex enough to support both intelligent, self-replicating observers, and a potential mechanism for self-replication of the universe itself.
It strikes me as elegant and suggestive that natural selection could be operating at both scales because -- again, sorry to abuse language -- because the universe "wants" to create inhabitants that are both intelligent and driven to replicate themselves, so that those inhabitants will eventually become strong enough to hijack the process of creating a gravitational singularity and intentionally building new universes like this one.
(NB: I am not saying the universe is intelligent. I am saying natural selection has put pressure on the universe to look a certain way. I mean "want" in the same sense that we say natural selection "wants" to create a survival machine, or a single-celled protist "wants" to eat, grow and divide.)
So, by analogy: the universe is the organism; the black holes are the unfertilized eggs; the pockets of self-replicating sapience are the sperm destined to fertilize them and continue the cycle.
If you extrapolate from these assumptions, there are some potential consequences: