The most trivial solution is creation by natural laws – it is presumably a relative slow process from a declared beginning (in the case of our Universe: from the Big Bang) to the appearance of stars, galaxies and intelligent life. It is another question why needed a so huge time for it.
Another possibility is a creation by creator – either in the form of computer simulation or by creating a universe using the laws of physics.
A third solution is a genesis thanks to vacuum fluctuations – in this case the Universe can appear instantly both with its whole complexity and with its thinking inhabitants.
It is imaginable that not only a hierarchy of universes exists where a whole world is created within another one, but the origins of the universes on different levels are either the same or different. A naturally evolved universe can be a home of an intelligence which creates an artificial world (say, by natural laws) which existing for an infinitely long time results the rise of a new universe with observers by quantum fluctuations, etc.
So our first (and trivial) conclusion is that is that regarding the “tools” which was used (natural laws, chance, etc.) we can distinguish natural and artificial origins – including into the latter category both a God-like creation and a creation by programming. A creator of a programmed universe is restricted only by the laws of logic: for example, he/she aren’t able to create a circled square. The opportunities of a creator of a physically existing universe is more problematic – obviously, his options determined by the natural laws. The main question from this point of view is whether a “world creation” means “only” the creation of the world as an object – similarly to a sculptor who formats the clay? Or, his/her activities includes the forming of the natural laws which rules the new universe, as well?
The second, similarly trivial conclusion is that there are two basic type of the hierarchies of universes: a homogenous and a non-homogenous. A homogenous universe hierarchy can be described as a chain of embedded worlds where the first one was created by natural processes; and then thanks to natural processes, too, a new universe appears within the first one, etc. Lee Smolin’s “cosmological natural selection” is typical example for it.
Obviously, mixed solutions are imaginable, as well. A universe with natural origin containing naturally evolved intelligence which creates worlds; an artificial universe where new universes arises because of natural processes, etc. Realize that this distinction between “natural” and “artificial” worlds are merely historical, since an outsider observing the creation of the hierarchy of universes can specify them, but it is undecidable if you live in it.
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