[lmm]

> There can be structure without cause and effect. Take any static physics problem, for example a flexible sheet that’s stretched over some frame. Since there is no time dimension there is no cause and effect but at every point in the sheet there is structure (Poisson’s law).

Up to a point - that kind of structure still depends on a notion of spatial distance and "influence" where you can reason locally about subsets. It's fairly fundamental that some parts of the sheet are more closely related to each other than other parts of it. If you had a model where every point of the sheet was equally closely related to every other point, you wouldn't be able to have any nontrivial structure, I think.