Description:This repository presents five independent but complementary observational analyses of the Unified Applicable Time (UAT) and Unified Causal Principle (UCP) frameworks. Each analysis is contained in a separate ZIP file and includes the corresponding Python script, generated figures, and a LaTeX document with methodology, results, and limitations. The five tests are: (1) Big Bang Nucleosynthesis – helium‑4 abundance via perturbation theory; (2) Primordial Gravitational Waves – tensor transfer function and tensor‑to‑scalar ratio; (3) Strong Gravitational Lensing – angular diameter distances and time delays; (4) Dwarf Galaxy Dark Matter Density Profiles – solitonic core vs. NFW cusp; (5) Variation of the Fine‑Structure Constant – sensitivity to a scalar‑photon coupling. All analyses use the canonical UAT parameters (quantum brake k_early=0.967, H0=73.04 km/s/Mpc) without additional free parameters. The aim is to test whether the UAT/UCP framework can simultaneously address multiple cosmological and astrophysical tensions. The results are presented with full transparency regarding their limitations, and the author encourages independent verification and collaboration. Related DOIs: UAT Framework: 10.5281/zenodo.17729221 UPC Framework: 10.5281/zenodo.17718670 UAT Lagrangian: https://doi.org/10.5281/zenodo.20500722 UAT Tensions (Hubble, S8, Age): https://doi.org/10.5281/zenodo.20534633 Technical Limitations Note: https://doi.org/10.5281/zenodo.20534771 Keywords: cosmology, UAT, UPC, BBN, primordial gravitational waves, strong lensing, dark matter, dwarf galaxies, fine-structure constant Author: Miguel Ángel Percudani (Puan, Buenos Aires, Argentina)License: Creative Commons Attribution 4.0 International (CC BY 4.0)