So, I'll admit, I've not thoroughly read all of the replies in this thread so far. I have read the cosmology blog, however, and I do have some contentions.
Most notably, while the cosmology blog explains that the 'This Worlds' can support higher or lower dimensional worlds, and that there are infinitely many of these worlds, the proof that they exist in an infinite hierarchy is limited. The implication behind the cosmology suggested seems to be that there is a 1 dimensional world, a 2 dimensional world, a 3 dimensional world, 4 dimensional, 5, 6, 7, and so on, and that there being infinitely many of these worlds equates to there being worlds with infinite dimensions. But the idea that each world is higher dimensional than the last is far too specific to infer from what's presented - the best evidence we have for this specific idea, from what I can see on the blog, is a drawn diagram that implies the universes are stacked on top of one another. This could be indicative of a dimensional hierarchy, but it doesn't have to be. Furthermore, I'd argue some the evidence goes against this notion. Consider the author's comments:
"Kodama’s power, if we were to put it into one word, would be the “M theory” that is known as the “unified field theory”, something that governs even the 11 dimensions of physics. If something exists in this world, then it even exists in the work, except how deep you would have to dig down for it is something that one couldn’t possibly understand, so at the end of the day, that, too, becomes “something that exists as something that can’t be understood” in its own right."
This statement implies that the dimensional structure the verse uses is the one devised by M Theory, and that M Theory only goes up to 11 dimensions. Now, to be clear, the fact that "if something exists in this world, then it even exists in the work" doesn't mean things that don't exist in this world can't exist in the work - that would be denying the antecedent, which is not a valid argument, and it is not my point either. My point is that this statement implies they incorporated dimensional theory into the work that was based on M Theory, which the author specifically points out as governing up to 11 dimensions, and they suggest that they did this because of its applicability to the real world. This would seemingly go against the notion that there is an infinite dimensional hierarchy.
I imagine there is probably more to be said on this, however - I have not watched the show myself, so my context regarding this evidence is limited. Importantly, I imagine context regarding the diagram presented and the means in which they traverse to other worlds through the Darkness could explain in greater depth why the interpretation of a dimensional hierarchy was chosen.
