Resonance-Based Subspace Dynamics (RBS-D): Control Principles and Regime Engineering 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. 15 / 24) develops the control principles of the RBS-D framework by analyzing how coupled subspace systems can be steered between different dynamical regimes through targeted modification of coupling strength, phase relations, and operator-field interactions. The focus lies on identifying conditions under which resonance structures can be stabilized, destabilized, or transitioned in a controlled manner, enabling systematic regime engineering within multi-scale systems. Within the RBS-D framework, physical systems are described in terms of: controllable resonance regimes coupling-driven system steering operator-mediated state manipulation stability-to-instability transition control phase-coherence engineering This publication extends the unified operator-field dynamics (P14) by introducing explicit control mechanisms for steering global system evolution through local structural interventions.