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.
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.