This is a question rather than an answer. Shmuel Weinberger wrote a (to me, amazing) book about a decade ago, entitled
"Computers, rigidity, and moduli. The large-scale fractal geometry of Riemannian moduli space" (Princeton link)
Has the "grand project" promised by this book flourished, or at least evolved, in the last decade? I don't mean this question to be critical, I am just curious where his line of thought (e.g., "logical complexity engenders geometric complexity") stands ten years after.
