Resonance-Based Subspace Dynamics (RBS-D): Phase Coherence and Resonance Synchronization in Coupled 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. 07 and 06 / 24) develops the multi-scale coupling and hierarchical structure formation within the RBS-D framework by analyzing how resonance-based subspace interactions organize across different scales of dynamics. The focus lies on how local interaction rules generate large-scale structured behavior through nested coupling hierarchies and scale-dependent resonance formation. Within the RBS-D framework, multi-scale structure formation is described in terms of: hierarchical coupling of subspace layers scale-dependent resonance behavior emergence of structured macro-dynamics from local interactions recursive organization of coupled resonance systems This publication extends the phase coherence framework (P06) by introducing a multi-scale interpretation of resonance coupling and structural emergence across hierarchical levels.