I briefly read through the article. As a PhD student in theoretical physics, I can see that some basic ideas of gr and qm can be interpreted out of these graphs. But I’m not convinced why these graphs have to be generated by a single rule. I don’t see any motivation in restricting to a single rule or even procedural generation at all.
It also reminds me of the casual set theory that I heard briefly from a professor a few years ago. I was told that it re-creates vacuum gr just well.