Stability and Persistence of Emergent Resonance Structures in Coupled Subspace Systems

Resonance-Based Subspace Dynamics (RBS-D) is a 24-part scientific framework that introduces a structural interpretation of physical systems based on coupled subspaces, resonance phenomena, and nonlinear dynamics. This publication (No. 12 / 24) develops the theory of structural stability within the RBS-D framework by analyzing the conditions under which emergent resonance structures persist over time. The focus lies on the transition from transient emergence (P11) to sustained configurations that remain stable or metastable under perturbations, coupling fluctuations, and multi-scale interactions. Within the RBS-D framework, physical systems are described in terms of: stability of emergent resonance structures persistence under perturbations attractor robustness in coupled subspaces long-term phase coherence maintenance This publication extends the emergence framework (P11) by introducing the conditions required for the temporal stability and persistence of localized resonance structures.