UDCT v5.1: Density-Binned Dynamic Self-Regulating Back-Reaction (Paper + Standalone Reproducibility Package)

This work introduces one of the first practical standalone Python packages that operates independently of the standard FLRW cosmological framework. This upload contains the full paper and a fully standalone reproducibility package for UDCT v5.1. The Dynamic Self-Regulating Bidirectional Back-Reaction (DSBB) framework is refined with a Density-Binned Saturation mechanism. On the SPARC Main Sample (159 galaxies), the model achieves:- 82.4% Dynamic-better rate- +0.519 median weighted Δχ² improvement- Strong performance gains in High Surface Brightness (HSB) cores The package (udct_dsbb_v5.1_standalone_reproducibility.py) is completely self-contained and enables 100% independent verification of all results without external dependencies (except SPARC data files). Files included:- Full paper (PDF)- LaTeX source- Standalone Python reproducibility package (Mode A)- README.md- Markdown version of the paper This work provides a transparent and reproducible foundation for future extensions, including weak gravitational lensing tests with 2026 survey data.