Ah I see. Thanks for elucidating.

The paper is definitely not materialistic theory. It and the papers it references (by Max Tegmark in particular) posit that physical existence, in some parallel universe, is synonymous with mathematical existence. A structure, if you will, has mathematical existence, as defined in math, if and only if it is free of contradiction (essentially).

That can be a tough pill to swallow, of course. The question it solves, or at least appears to solve, is why these laws and not any others. This supposition, that PE=ME, allows all parallels to be governed by their own mathematical laws, whether they are probabilistic or deterministic.

There is an ultimate mathematical structure that would under this supposition literally be the ultimate universe which contains all parallels.

I view God to be that ultimate.

This view is not inconsistent with these ideas.