Resonance-Based Subspace Dynamics (RBS-D): Structural Field Interpretation and Continuous Subspace Manifolds

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. 13 / 24) develops the structural field interpretation of the RBS-D framework by extending discrete subspace interactions into continuous manifold-like representations. The focus lies on describing physical systems not only as interacting subspaces, but as continuously deformable structural fields in which resonance, coupling strength, and phase relations are distributed over continuous domains. Within the RBS-D framework, physical systems are described in terms of: continuous subspace manifolds field-like resonance distributions spatially extended coupling kernels continuous phase-coherence landscapes This publication extends the emergence framework (P11) and structural interpretation layer (P12) by introducing a continuous field representation of previously discrete subspace structures.