> that we call the ruliad—and that our physical laws arise in an inexorable way from the particular samples we take of this structure.

What is a physical law? To me a physical law is a proportionality, that is, an equality of ratios. When we find something that stays constant while something else is changing, we call this a law. But it is really a proportonality. So, mathematics and physics is tied by proportionality. They have proportionality in common.