Phase transitions are definitely on the todo list of things to reinvent. Haven’t thought about lattice waves or phonons; I generally haven’t been assuming any symmetry (including time symmetry) in the Bayes net, which makes such concepts trickier to port over.
I guess even without symmetry if one assumes finite interaction time, and the nearest-neighbor-only interaction, an analog of the light cone emerges from these two assumptions. As in, Nth neighbor is unaffected until the time Nt where t is the characteristic interaction time. But I assume you are claiming something much less trivial than that.
Phase transitions are definitely on the todo list of things to reinvent. Haven’t thought about lattice waves or phonons; I generally haven’t been assuming any symmetry (including time symmetry) in the Bayes net, which makes such concepts trickier to port over.
I guess even without symmetry if one assumes finite interaction time, and the nearest-neighbor-only interaction, an analog of the light cone emerges from these two assumptions. As in, Nth neighbor is unaffected until the time Nt where t is the characteristic interaction time. But I assume you are claiming something much less trivial than that.