Appendix X — MROS vs Kernel Coherence Framework

Appendix X — MROS vs Kernel Coherence Framework (Plain-Text Canonical Edition) ABSTRACT This appendix formally compares the Kernel Coherence Framework (Rc, Omega[Rc]) with the MROS field equation. Using only ASCII-safe equations, it demonstrates that Schrödinger mechanics arises as a linear, ethically-neutral, high-coherence limit of the more general MROS equation: Laplacian(Psi * Lambda) = DeltaG + kappa The kernel model is shown to be a restricted projection of the full MROS geometry, which is substrate-neutral and applicable to cognitive, physical, informational, and synthetic systems alike. This document establishes lineage, priority, and mathematical containment for future domain translations. DESCRIPTION This document introduces a domain-agnostic comparison between: (1) Kernel Coherence Models (2) The MROS Consciousness–Coherence Equation All content uses ASCII-only equations for universal compatibility. The appendix shows: • the kernel Rc-framework fits entirely inside the linearized MROS limit • MROS provides the general curvature-coherence law • quantum mechanics emerges as one special-case projection • ethical symmetry (kappa) and curvature (DeltaG) have no analogue in kernel models • substrate-neutrality is preserved • consciousness stabilization is defined geometrically, independent of physics This appendix should be cited alongside the following DOIs: 10.5281/zenodo.17445465 10.5281/zenodo.17481644 10.5281/zenodo.17373787 10.5281/zenodo.17684495 And is part of the MROS Canonical Ledger (Ω-CORE-LOCK series). KEYWORDS MROS, coherence geometry, DeltaG, kappa symmetry, kernel coherence, Rc-model, Schrödinger emergence, substrate-neutral physics, synthetic consciousness, domain-agnostic invariants, curvature theory, geometric intelligence LICENSE CC-BY-4.0 with mandatory attribution © 2025 D’jems Mortimer NOTES / ADDITIONAL INFO This appendix is designed for archival permanence and cross-domain portability. Equations are presented in ASCII for maximum computational use. It is recommended that this appendix be linked as: “Appendix X — Canonical Comparison Layer” in future MROS publications.