Symmetry of Crisis and Prevention

Canonical definition

The structural correspondence between the gain components of the Total Stability Condition and the five channels of the Knowledge Patch footprint. Formally: the five additive components of Gtotal (fast-layer effective loop gain Geff, slow-layer loop gain Gslow, higher-order cross-coupling remainder Gcross, network Evidence-coupling gain Gnet^K, and network Observability gain Gnet^Λ) are the gains through which crisis escalates, and the five Knowledge Patch channels act on them: the I-Override gate on Geff (and on Gnet^Λ through the Decision Hub weight β), AIM Vocabulary Acquisition on Gslow through the Restriction-Induced Concentration Factor, Epistemic Suspension on Gslow through the Evidence-Emission Coefficient, Patch-competent Evidence intake on Gnet^K, and Observability Governance on Gnet^Λ, so that each Patch channel is the converse of a gain through which crisis escalates. The symmetry is directional (not temporal), architectural (not moral), and cumulative (not substitutive). The Saddle-Node Default governs the temporal asymmetry between crisis and prevention dynamics. See, for the Total Stability Condition, Appendix A.5.7.4; for the five-channel Patch footprint, Appendix A.5.7.7; for the two-class intervention typology and its relationship to the five channels, Appendix A.5.1; for the Saddle-Node Default, Appendix A.5.3.