Thanks, I was also confused, but according to some weird social customs enforced on HN, I cannot sincerely ask that question. On the other hand, I am not sure about the upvotes either.
I actually didn't mean to develop some new physics theory, I just wanted to play a mathematical game (like Game of Life, for example), which would alter its own space/geometry. And this seemed as a good place to mention it, and get some feedback if somebody was aware of something similar. Because I found it quite nontrivial (to make it work "decently", in a vague sense), despite my lack of ambitions to explain physics.
CDT looks interesting, but it's not quite what I had in mind.
(I upvoted because the unrigorous idea of some sort of "foam automata" is cool, even if a formal, universal version of it is impossible.)
What you're describing isn't too far from Causal Dynamical Triangulation.
https://en.wikipedia.org/wiki/Causal_dynamical_triangulation