Some thoughts on this: Peters has published with Gell-Mann, so physicists might be unreasonably impressed. My feeling based on interacting with theoretical physicists at university is that there is a good portion of them who have little knowledge about and interest in other quantitative disciplines. They sometimes have a tendency to like to feel superior to "less rigorous" disciplines, so it's not unlikely that the particular reviewers were attracted to this?

Peters probably submits his papers to all kinds of journals, and probably very similar papers many times over. His more recent papers are kind of mono-thematic. The maths is not actually incorrect and easy to check, so once in a while they might get through the review process. Maybe that's the "ergodicity approach to publishing"?