Paper 5 - Final Synthesis and Dynamical Core

Paper 5 of the Abebe Carrier Framework under Master Map II. Provides final synthesis and dynamical core: consolidates the framework into a single projected gradient flow (“One-Inch Equation”) on the redundancy-quotiented configuration space. Covers well-posedness, strict monotonicity, exponential convergence to the SM-Island, geometric flavour mechanism (Appendix G), gravity as stationary limit, and overall structural closure. Part of the complete series (Papers 0–5) with Global Closure Appendices A–G. (Keywords: Carrier Framework, Master Map II, One-Inch Equation, dynamical core, SM-Island, projected gradient flow)