Dynamic Harmony Structural Stress-Test Series. This paper introduces a formal boundary criterion distinguishing configurational rearrangement from architectural redefinition in emergent systems. The analysis develops a structural test for determining when a system has undergone genuine emergence rather than internal reconfiguration within an existing state space. Within the Dynamic Harmony framework, emergence is defined as a transformation in which the coordination architecture of a system is redefined rather than merely rearranged. Paper 0B formalizes this distinction and provides criteria for identifying when a new organizational structure has appeared. This paper forms part of the Dynamic Harmony Structural Stress-Test Series, a research program that evaluates models of emergence across physics, biology, and complex systems theory through adversarial structural analysis.