Why it is a question
THEORY-276 states what the graph allows: orbit-wise synchrony is invariant, and so is the state in which one cluster, moved only by its own factor of the symmetry group, is unsynchronized while the rest are not. Which of these states are stable, and so which clusters are seen, is set by the node dynamics through the transverse IRR blocks. Pecora et al. (LIT-960) tested the predictions in one electro-optic network of 11 nodes, with one bifurcation parameter. Until 2026-10-19 THEORY-276’s promote_when asked for a second test. At the owner’s direction, from the promotion audit’s batch 013 (the audit’s decision file for THEORY-276, ADR-047), the invariance was promoted and the condition moved here unchanged.
What would answer it
An independent experiment or analysis, in a second physical or biological system of near-identical units on a known graph, in which the synchronized clusters observed are the symmetry orbits computed in advance, and a cluster desynchronizes in isolation where its own transverse block, and only it, is predicted to lose stability. A stable synchronized pattern that splits an orbit, or an isolated desynchronization that the IRR blocks do not predict, would count against the predictions. Networks with nonidentical units, weighted or directed coupling, or clusters from input-equitable partitions without symmetry are outside the claim and cannot settle it.