Nice figures, but actually just a presentation, not a theory. Apparently based on this book: https://bookerapp.replit.app/book/fom, which neither seems to actually explain much. I agree that a better music theory is needed and that the manifold approach might work for music as well, but not much so far besides a few keywords and high-level ideas.
it is an attempt to lay the foundations. to me that foundation enables understanding complex concepts without adhoc narratives.