I’m involved in the development of the Functional Universe (FU) framework [0], and I see some interesting intersections with Wolfram’s ruliology.
Both start from the idea that simple rules / functions can generate complex structure. Where FU adds a twist is by making a sharp distinction between possibility and history. In FU, we separate aggregation (the space of all admissible transitions—superpositions, virtual processes, rule applications) from composition (the irreversible commitment of one transition that actually enters history).
You can think of ruliology as exploring the space of possible rule evolutions, while FU focuses on how one path gets selected and becomes real, advancing proper time and building causal structure. Rules generate possibilities; commitment creates facts.
So they’re not the same thing, but I think they’re complementary: ruliology studies the landscape of rules, FU studies the boundary where possibility turns into irreversible history.
[0]https://github.com/VoxleOne/FunctionalUniverse/blob/main/doc...