R-layer Mode Theory (RLMT) LXXII: Observational Predictions, Numerical Analysis, and Experimental Tests — ECCM, 26→27 Transition, and Early Cosmic Structure

This volume develops a predictive and testable framework for the Early Composite Condensation Mode (ECCM) and the 26→27 transition within R-layer Mode Theory. The ECCM composite density is promoted to a dynamical field coupled to the R-layer background, and its evolution equation, instability band, and effective mass are derived from a fully variational formulation. A rigorous bifurcation analysis demonstrates that the transition from complexity layer 226 to self-organization layer 227 is a genuine dynamical bifurcation driven by competing condensation and feedback processes. The volume constructs unified models of early galaxy formation and black-hole seeds, showing that ECCM-enhanced collapse naturally explains JWST observations of bright high-redshift galaxies and rapidly growing black holes. It further provides predictions for CMB anisotropies, large-scale structure, and the stochastic gravitational-wave background, and outlines numerical pipelines and experimental strategies for testing the theory.