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 Exploratory prototypes from early development are retained for archival comparison but superseded by preregistered and corrected pipelines.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 analyses: preregistered frequency-scan pipelines with family-wise error control and Bayesian model comparison. Cosmological scaling: CMB large-angle suppression, dark-energy scaling, and Hubble-tension diagnostics. Astrophysical structure: stacked weak-lensing analyses, gravitational lensing benchmarks, Einstein Cross modeling, and propagation/dispersion studies. Particle benchmarks: electron finite-energy radius, muon decay, neutrino mass fits, chirality structure, and electroweak normalization. Theoretical foundations: Statistical reproducibility and error-control framework. Recursive dimensional growth into tri-vector geometry. Updated electron Morton benchmarks consistent with collider bounds and the Planck cutoff. First-principles derivation of the fine-structure constant (Appendix AK), including canonical EFT normalization, projection-geometry factors, one-loop renormalization-group evolution, and ppm-level two-loop stability analysis. Revision notes This release adds the notebook for section 4.2.5, “Numerical Benchmark Solution and Mass Estimate” reproducibility. No changes have been made to the core Axis framework, field content, electroweak or gravitational derivations, or the validated numerical results reported elsewhere in the suite. This dataset supersedes prior releases. For questions, compatibility issues, or support with the Colab notebooks, contact: [e-mail]