The concept of updating rules underlies this model. Each rule determine the evolution of the hypergraph which is space itself, much like a cellular automata. It

The concept of updating rules underlies this model. Each rule determine the evolution of the hypergraph which is space itself, much like a cellular automata. It seems that some rules have the property that as "times goes by" the hypergraph converges to a manifold with dimension d. One can estimate the dimension of such hypergraph using, for example, the growth of the volume of balls[0]. It also seems that this concept is very generic, and many properties of the model do not depend on the dimensionality neither on the manifold or the rule itself. Because this concept is so generic, one hopes that there is a rule that the hypergraph converges to d=3 as in our world. This would also raise questions on why in the very early universe there was a "inflationary" phase. [0] https://www.wolframphysics.org/technical-introduction/limiting-behavior-and-emergent-geometry/the-notion-of-dimension/ https://www.wolframphysics.org/technical-introduction/limiti...