The Axis Model: A Unified Framework for Emergent Particle Structure, Cosmology, and Gravitational Phenomena

This repository contains the computational pipelines and empirical validation notebooks for the Axis Model framework—a geometric unification program in which fundamental particles and interactions emerge from scalar-stabilized configurations of quantized vector displacements (“mortons”). All notebooks are designed for direct reproducibility in Google Colab and mirror the figures, fits, and statistical tests reported in the companion manuscripts. Exploratory prototypes from early development are retained for archival comparison but superseded by preregistered and corrected pipelines. Domains covered Gravitational wave anomalies: frequency-scan pipelines with preregistered specifications and family-wise error control. Cosmological scaling: CMB large-angle suppression, dark-energy scaling, Hubble-tension diagnostics. Astrophysical structure: galactic rotation curves, lensing deviations, Einstein Cross modeling, dispersion relations. Particle benchmarks: electron finite-energy radius, muon decay, neutrino mass fits, chirality structure. Theoretical extensions: Statistical reproducibility and error-control formalism. Recursive dimensional growth into tri-vector geometry. Updated electron Morton benchmarks consistent with collider bounds and Planck cutoff. New: first-principles derivation of the fine-structure constant (Appendix AK) — including canonical EFT normalization, projection-geometry factors, one-loop RG flow, and ppm-level two-loop stability bounds. Revisions in this release This version adds full documentation and Axis-model context for the θ₃₂ posteriors.The double-Gaussian fit is now explicitly interpreted as an Axis-derived mixture over two scalar branches, with improved comments, function docstrings, and consistent sin2𝜃23 labeling. Fit robustness is slightly improved (higher maxfev and stored covariance matrices), and figure outputs are standardized for direct use in the neutrino paper and Overleaf. No substantive change to the underlying datasets or basic fitting procedure. This dataset supersedes prior releases. For questions, compatibility issues, or support with the Colab notebooks, contact: [e-mail]