Phase Channels, Inertium, and Conserved Quantities: Bridging MARA and SMFT through Three Minimal Tests

This repository contains the research package linking the MARA Framework and the Modular Symbolic Field Theory (SMFT) through three minimal, falsifiable tests. The work demonstrates how symbolic phases, inertium, and conserved quantities manifest across physical and computational domains. Contents: Paper (PDF): A structured manuscript outlining the motivation, framework overview, and summary of results. Results & Discussion (PDF): Detailed derivations, equations, plots, and extended commentary. Data & Code: Python scripts, logs, and generated datasets for all three tests (RG toy model, Josephson proxy, KN-net with phase drive). Highlights: QCD Running (RG Toy Model): Phase-dependent boundary conditions shift $\alpha_s(1,\mathrm{TeV})$ by +1.5% without modifying the RG law. Condensed-Matter Proxy: Inertium manifests as a tunable resonance shift and collapse boundary in a Josephson-like system. KN-net: Explicit phase drive yields a conserved “phase-charge” that stabilizes learning dynamics. Together, these results provide a reproducible save-point for MARA/SMFT exploration. All code and data are open for independent validation, modification, and extension.