> I'm not convinced that comparing two different states of matter is a useful comparison.
Actually, it is probably a terrific comparison. What is a state change? It is a drastic change in the properties of a material once some threshold condition (usually temperature and/or pressure) is crossed. And in fact QM and GR describe the same system under different lenses - maybe not pressure or temperature but certainly different conditions.Don't forget that the universe itself has undergone a phase transition, after (or during, depending on who's lecturing) the inflation period (very shortly after the big bang).