SBC COSMOLOGICAL MODEL REPOSITORY=================================
This repository contains all materials necessary to reproduce the results of the manuscript:

**Emergent Cosmological Dynamics from Stochastic Bidirectional Causality: A Unified Extension of ΛCDM**

Authors: Carlos Hernan Quintero B. and Emili Quintero Castillo

REPOSITORY STRUCTURE--------------------
```
├── data/               # Observational datasets (Planck, SH0ES, DESI, KiDS, etc.)
├── notebooks/          # Jupyter notebooks for model implementation and validation
├── results/            # Output figures, statistical tables, and posterior samples
├── scripts/            # Python utility scripts for numerical simulations and plotting
├── chains/             # MCMC chains and statistical output files
├── LICENSE             # License (MIT)
├── requirements.txt    # Software dependencies
└── README.md           # This file
```

INCLUDED DATASETS-----------------
* **CMB Angular Spectra**: `planck_cls_tt.csv`, `planck_cls_ee.csv`, `planck_cls_te.csv`
* **Structure Growth (fσ₈(z))**: `fsigma8_data.csv`, `fsigma8_observations.csv`
* **Cosmic Chronometers (H(z))**: `observational_Hz.csv`

REPRODUCIBILITY---------------
All figures, tables, and numerical results are generated by the Jupyter notebooks in the `notebooks/` directory. For exact reproducibility:

1. Set up the Python environment using `requirements.txt`.
2. Launch Jupyter Lab or Jupyter Notebook.
3. Open each notebook sequentially and run all cells.

LICENSE-------
This repository is licensed under the [MIT License](LICENSE).

CONTACT-------
For questions or collaboration inquiries, please contact:

* Carlos Hernan Quintero B.: `causalidad1@gmail.com`
* Emili Quintero Castillo

---

*This repository was created as part of a submission to Foundations of Physics, Springer Nature.*