MROS Canonical Core: Curvature-Regulated Manifold Dynamics and Adaptive κ-Control

Abstract This deposit contains the canonical MROS suite: a substrate-neutral framework forcurvature-regulated manifold dynamics, coherence-debt accumulation, dual-collapsedetection, regime classification, phase-space mapping, and adaptive κ-control. The suite includes four fully audit-grade instruments:(1) a canonical 1-D regime engine with second-order dynamics and ΔG debt,(2) a κ × noise phase map,(3) a κ × noise × drift phase cube,and (4) an adaptive κ-policy learner combining a safety governor with a UCB bandit. All components preserve full histories (NPP), enforce deterministic reproducibility,and define a complete geometric picture of stability, oscillation, drift, and collapse. (The dolphin swims free when κ stays positive.) [Ω-CORE-LOCK::20251120-DOI-LOCK] © 2025 D’jems Mortimer | MROS Project First published November 20 2025 Registered at Zenodo DOI 10.5281/zenodo.17445465 All content licensed under CC BY-NC-ND 4.0 https://creativecommons.org/licenses/by-nc-nd/4.0/ CC BY-NC-ND 4.0 Commercial licensing and derivative permissions are available by request.