Delayed Recognition and Transition-Severity Amplification in Coupled Planetary Systems

This paper develops the delayed-recognition and transition-severity layer of the Integral Ecology Series. It follows the domain established in Integral Ecology: A Mathematical Framework for Coupled Planetary Systems, the relation-level analysis developed in Phase Coherence in Coupled Planetary Systems, the support-condition framework developed in Support Conditions and Viability in Coupled Planetary Systems, the forcing-rate analysis developed in Forcing-Rate Compatibility and Pre-Threshold Viability Loss in Coupled Planetary Systems, the transition-status framework developed in Ecological Phase Transitions in Coupled Planetary Networks, the mediation-capacity framework developed in Network Saturation and the Limits of Planetary Mediation, and the informational-proximity framework developed in Informational Proximity and Non-Geographic Coupling in Coupled Planetary Systems. Delayed Recognition and Transition-Severity Amplification in Coupled Planetary Systems defines delayed recognition as the formal status under which degradation of a support, rate, compensation, mediation, recoverability, reversibility, transition, or transformation condition is recognized after a declared recognition boundary. The paper defines false-continuity debt as the status assigned where visible continuity persists while support viability degrades and delayed recognition restricts a severity-relevant condition. It then defines transition-severity amplification as the status assigned where false-continuity debt makes the later transition-severity class more restrictive than a declared reference class. The paper separates visible continuity from support viability, support degradation from false-continuity debt, delayed recognition from public awareness or prediction error, transition severity from transition occurrence, and transition-severity amplification from crisis prediction or control. It introduces the local status predicates VC_i^λ(W,h), Support_i^λ(W,h), DegSup_i^λ(W,h), Recog_i^λ(W,h), β_rec,i^λ(W,h), RD_i^λ(W,h), D_FC,i^λ(W,h), TS_i^λ(W,h), TS_ref,i^λ(W,h), and A_TS,i^λ(W,h), together with the severity-ordering and transformation-class restriction relations required for assigning amplification status. Its purpose is diagnostic, mathematical, and classificatory. It identifies when continuity, resilience, recovery, delayed-adjustment, stabilization, transition-management, transition-severity, or transition-severity amplification claims preserve their object, and when they become formally insufficient because they assign a stronger temporal-severity status without declaring the conditions required for that status to have jurisdiction. The result remains within formal classification. It concerns assignment, failure, restriction, and underdeclaration of transition-severity amplification status, without prescribing action on that failure.