Emergence of Localized 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. 11 / 24) develops the theory of structural emergence within the RBS-D framework by analyzing how localized, stable or metastable configurations arise from distributed coupled subspace dynamics. The focus lies on the formation of coherent structures as a consequence of resonance alignment, nonlinear coupling, and energy redistribution across multi-scale systems. Within the RBS-D framework, physical systems are described in terms of: emergence of localized resonance structures formation of stable and metastable configurations self-organization through coupling dynamics localization of interaction intensity This publication extends the energy redistribution framework (P10) by introducing the conditions under which distributed dynamics reorganize into coherent structural entities.