Coupled Projection Dynamics in Structured State Spaces: Symmetry Breaking and Emergent Transport

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. 18 / 24) establishes the dynamical framework of coupled projection systems and emergent transport phenomena within the RBS-D framework. It introduces a structured state representation Ξ=(A1,A2,ϕ,κ)\Xi = (A_1, A_2, \phi, \kappa)Ξ=(A1,A2,ϕ,κ) which encodes amplitude distribution, relative orientation, and coupling-induced curvature effects between interacting subspaces. The focus lies on the formalization of: coupled nonlinear state space dynamics symmetry and symmetry-breaking mechanisms limit-cycle formation in projection systems phase-dependent drift in coupled observables transport as emergent accumulation effects Within the RBS-D framework, physical systems are described in terms of relational geometry and nonlinear flow structures in state space, without assuming particles or fundamental forces. This publication extends the structural formulation of projection-coupled state spaces (P17) by introducing their dynamical evolution and emergent transport properties.