Cosmological Validation of the UAT/UCP Framework without Boltzmann Codes: Om(z) Diagnostic, Cosmic Chronometers, and Bayesian Model Selection

TECHNICAL REPORT — ZENODO DEPOSITAuthors: Miguel Ángel Percudani, Jorge Iván DíazORCID (M.A.P.): 0009-0007-1748-3212 ══════════════════════════════════════════════════════════════════SUMMARY══════════════════════════════════════════════════════════════════ We validate the cosmological predictions of the UAT/UCP framework using direct observational data and the Om(z) diagnostic, without Boltzmann codes (CLASS/CAMB) or ΛCDM parameter inputs. The UAT expansion history is derived from first principles with a single free parameter (7% thermal margin). We compare against: • 31 cosmic chronometer H(z) measurements (Moresco+ 2016,2020) • 3 BOSS DR12 BAO angular distance points KEY RESULTS: • Om(z) diagnostic: UAT mean = 0.2948 ± 0.0104 (ΛCDM: constant 0.315) • H(z) fit: χ²(UAT)=20.70, χ²(ΛCDM)=14.90 (but UAT uses 1 param vs 6+) • BAO fit: χ²(UAT)=6.28, χ²(ΛCDM)=9.90 with UAT sound horizon rd=141 Mpc • Bayesian model selection: ΔAIC=-4.20, ΔBIC=-11.37, Bayes factor B≈294 → DECISIVE evidence for UAT over ΛCDM (Jeffreys scale) • Sensitivity: UAT would need χ²≥32.07 (55% worse) for neutral Bayes factor Combined with independent fσ8(z) analysis (B≈1755), two independent observables both decisively favor UAT over ΛCDM. ALL ANALYSES PERFORMED WITHOUT: ✗ CLASS / CAMB Boltzmann codes ✗ w(z) parametrisation ✗ ΛCDM parameter inputs SCRIPTS USE ONLY: ✓ Direct observables (T_CMB, η_B, H₀ from SH0ES) ✓ UAT/UCP constants (κ_crit, φ, k_early, 7% margin) ✓ Standard Python libraries (NumPy, SciPy) ══════════════════════════════════════════════════════════════════SUPPLEMENTARY SCRIPTS══════════════════════════════════════════════════════════════════ • UAT_Omz_Diagnostic.py — Derives all parameters from first principles, computes H(z), performs Om(z) diagnostic, compares with chronometers & BAO• UAT_Bayesian_Chronometers.py — AIC/BIC/Bayes factor analysis & sensitivity ══════════════════════════════════════════════════════════════════REFERENCES══════════════════════════════════════════════════════════════════ UAT Framework: DOI: 10.5281/zenodo.17486599UCP Framework: DOI: 10.5281/zenodo.18210808UCP Hubble Tension: DOI: 10.5281/zenodo.17718670UAT Lagrangian: DOI: 10.5281/zenodo.20500431Λ Resolution: DOI: 10.5281/zenodo.21109424Ω_m Relation: DOI: 10.5281/zenodo.213281877% Thermal Margin: DOI: 10.5281/zenodo.21211964Unified Action: DOI: 10.5281/zenodo.21433360QCD Confinement: DOI: 10.5281/zenodo.21462798Causal Mass Gap: DOI: 10.5281/zenodo.21403903Antifrequency: DOI: 10.5281/zenodo.18809178UAT/UCP Universe: DOI: 10.5281/zenodo.21369808 ══════════════════════════════════════════════════════════════════LICENSE══════════════════════════════════════════════════════════════════ Creative Commons Attribution 4.0 International (CC BY 4.0)