Scientists identify a mathematical 'crystal ball' that may predict calamities

Thanks for that. I'm not convinced, it look like they try to correlate energy and lattice structure and then extrapolate from there to dynamic system collapse. Scanning it, I felt like it read like one of those 'autogenerated' papers, which is always a red flag for me.

Let me try to summarize the paper, which I only slightly understand. They take a 2-D grid with a magnetic domain at each point, sort of like a hard drive. It starts out with random N/S orientations. Each domain "wants" to match up with its neighbors. As domains flip, they will start to match up more and more. Eventually you have a phase transition where you suddenly go from mostly-random to mostly-aligned, kind of like water freezing. This is a standard physics model called an Ising model.

They look at the "information flow" between neighboring domains. This is sort of how much influence a domain has on its neighbors, with an incomprehensible transfer entropy measure. At the beginning, when everything is random, there's not much correlation. At the end, when everything is aligned, there's no information flow since neighbors are already aligned. The peak influence is right in the middle when domains are snapping into alignment with each other. The paper measures this information flow via simulations of the grid and finds the peak information flow is in the disordered phase shortly before the phase transition to order. This seems like a reasonable conclusion.

They then conjecture that this information flow peak isn't just for the specific Ising model they investigate but may happen in general for financial crises, epileptic seizures, and other complex models, so if you can measure information flow you can tell when the phase transition will happen. I don't see anything in the paper that actually supports the conjecture, but it makes for nice headlines. (I don't want to get into credentialism, but it makes me a bit suspicious that the authors aren't statistical physicists (who usually do Ising model stuff), but work in a center for consciousness science, civil engineering, and other random departments.)

Apologies to anyone who actually understands Ising models, because I've probably totally mangled the explanation, but I figured since nobody else had posted a summary it might be useful.