CPP ZBW Mixing Fractions – Muon g-2 Preregistration

Preregistered prediction (Feb 07, 2026): Fermilab muon g-2 final result (late 2026) will show δμ ≈ (2.0–3.0) × 10⁻⁷ from fractional DP mixing in orbital ZBW.

Python scripts and Jupyter notebooks for calculating orbital Zitterbewegung (ZBW) dipole pair (DP) composition (mixing fractions of eDP, qDP, hDP) in Conscious Point Physics (CPP).

This reproduces the mixing fractions used in Paper 2: Mass Generation from Symmetry Breaking in the 600-Cell Lattice (Version 27), supporting the muon g-2 anomaly prediction.

Features

Reproducible mixing fraction results for leptons and quarks

Parameter sensitivity analysis (N_k, thermal scale T)

Visualization: pie charts and N_k dependence plots

Supports predictions in Paper 2 (e.g., muon g-2 δμ ≈ (2.0–3.0) × 10⁻⁷)

Preregistration: Muon g-2 Anomaly Prediction

Date of preregistration: February 07, 2026

Target experiment: Final Fermilab Muon g-2 result (Run 2/3 combined, expected late 2026)

Predicted deviation: δμ = a_μ^theory - a_μ^exp ≈ (2.0 – 3.0) × 10⁻⁷

Paper reference: Conscious Point Physics Paper 2 (Version 27), Appendix I: Orbital ZBW Mixing for Quarks/Leptons standard_model_emergence_in_the_600-cell_lattice/papers/paper_2_mass_generation_from_geometric_hierarchies_and_cage_complexity

Model Basis

In CPP, the muon anomalous magnetic moment receives a small additional contribution from fractional mixing of DP types in orbital Zitterbewegung (ZBW) for N_k=4 tetrahedral cages (muon). The equilibrium mixing fractions are calculated via energy minimization + thermal averaging (see notebooks/lepton_zbw_mixing.ipynb and src/mixing_calculator.py):

eDP ≈ 68.5%

qDP ≈ 13%

hDP ≈ 18.5%

(see figures/lepton_pie_chart.png)

This admixture arises because the muon's cage complexity (N_k=4) perturbs the pure eDP dominance seen in the electron (N_k=1), introducing qDP/hDP components that modify the spin precession via lattice SSV gradients.

Quantitative Mapping to δμ

The predicted correction is derived as:

δμ ≈ C × (f_qDP + 0.7 × f_hDP)

where C ≈ 4.0 × 10⁻⁶ is a geometric prefactor from SSV coupling strength and cage scaling (detailed in Paper 2, Appendix I). Plugging in the fractions:

δμ ≈ 4.0 × 10⁻⁶ × (0.13 + 0.7 × 0.185) ≈ 2.0–3.0 × 10⁻⁷

(uncertainty from Monte Carlo spread in fractions ±1–2%)

Success / Falsification Criteria

Confirmation (strong support for CPP): Final Fermilab central value falls within 1.5–3.5 × 10⁻⁷ (accounting for ~0.5 × 10⁻⁷ experimental + theoretical error bar).

Marginal / partial support: Result in 0.5–4.5 × 10⁻⁷ (suggests mixing mechanism broadly correct but may require refinement of C or fractions).

Failure (major challenge to this mechanism): Central value < 0.5 × 10⁻⁷ or > 5 × 10⁻⁷, or result consistent with zero within ~1σ.

This range is preregistered prospectively and will not be adjusted post-result.

Reproducibility

All calculations are fully reproducible:

Core mixing logic → src/mixing_calculator.py

Muon-specific plot → notebooks/lepton_zbw_mixing.ipynb → figures/lepton_pie_chart.png

Full derivation → Paper 2, Appendix I & J (DP cloud and ZBW refinements)

This prediction is made without knowledge of the final Fermilab combination (as of February 07, 2026). Any future model updates will be versioned separately and clearly marked as post-preregistration revisions.

How to Run (Quick Start)

1. Clone the repo (or navigate to this subfolder)

2. Install dependencies: pip install numpy scipy matplotlib

3. Run the muon calculation:

Open notebooks/lepton_zbw_mixing.ipynb in Jupyter

or use CLI: python src/mixing_calculator.py --type lepton --N_k 4

Repository Structure (relative to cpp-zbw-mixing-fractions/)

cpp-zbw-mixing-fractions/

├── README.md # This file: overview + preregistration protocol

├── LICENSE # MIT License for code

├── LICENSE-CC-BY-4.0.md # CC-BY 4.0 for scientific content

├── notebooks/

│ ├── lepton_zbw_mixing.ipynb # Muon-specific ZBW mixing + pie chart generation

│ └── quark_zbw_mixing.ipynb # Quark mixing + N_k sensitivity sweep

├── src/

│ └── mixing_calculator.py # Reusable module for fraction calculations

└── figures/

├── lepton_pie_chart.png # Muon orbital ZBW composition (68.5% eDP)

├── quark_pie_chart.png # Up-quark orbital ZBW composition (74% qDP)

└── sensitivity_plot.png # Dominant fraction vs. cage size N_k (log scale)

License

This repository uses dual licensing:

• Code and notebooks (including src/, .ipynb files): [MIT License](LICENSE) — permissive for reuse and modification
• Scientific content (preregistration text, figures, explanations, interpretations): [Creative Commons Attribution 4.0 International (CC-BY 4.0)](LICENSE-CC-BY-4.0.md) — requires attribution for derivatives

This ensures code is freely shareable while scientific outputs get proper credit.

For the broader 600-cell study, see the parent directory:

https://github.com/tlabshier/CPP/tree/main/standard_model_emergence_in_the_600-cell_lattice/