Information Dynamics – p_ID Extraction from Four Particle Physics Experiments

This repository contains a Python script that extracts the information purity p_ID from publicly available data of four independent experiments:

1. Hyperon semileptonic decay Lambda -> p mu- anti-nu_mu (BESIII 2021)
2. Reactor neutrino oscillation Delta m^2_21 (KamLAND + JUNO 2025) – used as calibration anchor
3. X17 resonance branching ratio (Atomki 2020)
4. Muon g-2 anomalous magnetic moment (Fermilab 2025)

All extractions consistently give p_ID ≈ 1, indicating that the information field resides in an information‑superconducting state. This single‑parameter description unifies strong and weak interactions as internal rotational symmetries of the information field.

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1. Purpose

The script provides a transparent, reproducible calculation of the information purity p_ID from each experiment. No free parameters are fitted – each value is directly derived from published measurements and standard model predictions (or a conservative anchor assumption for the reactor neutrino case). The results support the theoretical framework developed in the accompanying paper.

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2. Experiments and Data Sources

Experiment	Observable	Reference	Role
Hyperon decay	Branching fraction B_exp = (1.48 +/- 0.23) x 10^-4	BESIII, Phys. Rev. Lett. 127, 121802 (2021)	Inversion
Reactor neutrino	Delta m^2_21 = (7.48 +/- 0.10) x 10^-5 eV^2	JUNO, arXiv:2511.14593 (2025)	Calibration anchor (p_ID = 1)
X17 resonance	B_X = (6 +/- 1) x 10^-6	Krasznahorkay et al., EPJ Web Conf. 232, 04005 (2020)	Inversion (p_ID = 1 - B_X)
Muon g-2	a_mu_exp = 0.001165920705, a_mu_SM = 0.00116592033	Fermilab, arXiv:2506.03069 (2025); 2025 White Paper	Inversion (p_ID = a_mu_exp / a_mu_SM)

Note: The reactor neutrino measurement is taken as the information‑superconducting anchor (p_ID = 1) because it occurs in a short‑baseline vacuum environment, which is the closest realization of an ideal coherent state.

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3. Requirements

• Python 3.6+
• Required packages: numpy

Install with:

pip install numpy

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4. Usage

Clone the repository and run the script:

git clone https://github.com/hkaiopen/InformationDynamics_particlephysics.git
cd InformationDynamics_particlephysics
python pID_extraction_four_experiments.py

The script will print the extracted p_ID values with uncertainties and a summary table.

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5. Output Interpretation

• All extracted p_ID values are close to 1, meaning the information field in these high‑energy or low‑dissipation environments is in an information‑superconducting state.
• The reactor neutrino result is not an inversion but a calibration anchor – it sets the reference for a perfect information superconductor.
• The hyperon decay and muon g-2 results are consistent with unity within their uncertainties.
• The X17 resonance, with a tiny branching ratio 6 x 10^-6, gives p_ID = 0.999994, showing that even rare collective excitations occur in a nearly perfect coherent environment.

These numbers provide strong phenomenological support for the Information Dynamics framework applied to non‑Abelian gauge fields.

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6. Repository Contents

• pID_extraction_four_experiments.py – Main Python script (calculations with error propagation)
• README.md – This file
• Output.txt – Console output (No plots are generated; results are printed to the console)

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7. License

This project is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0).

You are free to share and adapt the material under the following terms:

• Attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.
• NonCommercial – You may not use the material for commercial purposes.
• ShareAlike – If you remix, transform, or build upon the material, you must distribute your contributions under the same license.

For commercial use, please contact the authors.

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8. Citation

If you use this code or the results, please cite:

1. The accompanying research paper (preprint):

   Huang, K., Liu, H., Huang, Z., & Kuang, Q. (2026). Information Dynamics: Emergence of Non‑Abelian Gauge Fields from Local SU(N) Invariance of a Generalized Ginzburg‑Landau Equation and Phenomenological Consistency with Four Independent Experiments. Zenodo preprint. (https://doi.org/10.5281/zenodo.19447818)

2. This software repository:

   Huang, K. (2026). hkaiopen/InformationDynamics_particlephysics (Version v1.0) [Computer software]. Zenodo.(https://doi.org/10.5281/zenodo.19448369)

For the reactor neutrino anchor, please also acknowledge the JUNO Collaboration and cite arXiv:2511.14593.

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For questions or suggestions, please open an issue or contact the authors.