The full ruliad involves taking the infinite limits of all possible rules, all possible initial conditions and all possible steps.
The pictures above can be thought of as coarse finite approximations to the ruliad. And to run the rules for an infinite number of steps. And to apply these rules to all possible initial conditions. Its concept is to use not just all rules of a given form, but all possible rules. But the ruliad is something in a sense infinitely more complicated. This may already look a little complicated. Here is an example of an ordinary multiway system based on the string replacement rules (indicated respectively by blueish and reddish edges): And as such, it traces out the entangled consequences of progressively applying all possible computational rules. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems.
(And-it should be said at the outset-we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) But to ground things here, let’s start with a slightly technical discussion of what the ruliad is. We’re going to be able to say many things about the ruliad without engaging in all its technical details. And it encapsulates not only all formal possibilities but also everything about our physical universe-and everything we experience can be thought of as sampling that part of the ruliad that corresponds to our particular way of perceiving and interpreting the universe. But it’s something very universal-a kind of ultimate limit of all abstraction and generalization. In many ways, the ruliad is a strange and profoundly abstract thing. And it’s one that I think has extremely deep implications-both in science and beyond. It’s yet another surprising construct that’s arisen from our Physics Project. Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways.
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