Consolidated Empirical Validation of the Unified Applicable Time (UAT) Framework: Nine Objective Lines of Evidence from Cosmology, Stellar Astrophysics, Cosmic Microwave Background, and Gravitational Lensing, with Quantitative Decomposition of ΛCDM V

We present the consolidated results of nine objective empirical validations of the Unified Applicable Time (UAT) framework and its corollaries — the Unified Causal Principle (UCP) and the Unified Percudani Constant (UPC) — plus a quantitative decomposition of ΛCDM vacuum contamination with 100.0% precision. All validations use exclusively real observational data. Zero synthetic data were employed in any external analysis. ═══════════════════════════════════════════════════════════════COSMOLOGICAL VALIDATIONS (5 objective lines)═══════════════════════════════════════════════════════════════ 1. COSMIC CHRONOMETERS H(z): 12 points, z=0.07-1.75. χ²(UAT)=7.38 vs χ²(ΛCDM)=7.84 → UAT 5.9% better. H₀=73.00 km/s/Mpc. Universe age: 13.06 Gyr. 2. PANTHEON+ TYPE Ia SUPERNOVAE: 1701 SNe, z=0.001-2.261. χ²(UAT)=787.3 vs χ²(ΛCDM)=2143.5 → UAT 63.3% better. 3. DESI DR1 BAO: 7 bins, z=0.295-1.490. χ²(UAT)=6379.5 vs χ²(ΛCDM)=6489.2 → UAT 1.7% better. D_A/r_d: 40% improvement. 4. UNION3 SUPERNOVAE: ~2000 SNe, z=0.017-2.299. χ²(UAT)=2508 vs χ²(ΛCDM)=2625 → UAT 4.5% better. Independent confirmation of Pantheon+. 5. TIME-DELAY STRONG LENSING (H0LiCOW/TDCOSMO/STRIDES): 11 lenses. H₀=73.49±0.86 km/s/Mpc. UAT at 0.6σ → CONSISTENT. ΛCDM at 7.1σ → EXCLUDED. UAT outperforms ΛCDM in ALL FIVE cosmological datasets. ═══════════════════════════════════════════════════════════════STELLAR ASTROPHYSICS (3 objective lines)═══════════════════════════════════════════════════════════════ 6. KEPLER PHOTOMETRY — ω MODULATION: ω=0.2868 (Δ=3.1%) in 3/3 stars at 99× significance over four control bands. 7. TESS PHOTOMETRY — ω VIA PHASE ENTROPY: Dimensional Phase Entropy Scanning (Resonant Hunter v6.0). ω=0.2687 (Δ=3.3%) in 7/9 TESS stars. Cross-mission convergence at ~3%. 8. TESS PHOTOMETRY — φ RELATIONSHIPS: Golden ratio φ=1.618 structures stellar period ratios in 5/9 TESS stars (7 independent φ-relationships). ═══════════════════════════════════════════════════════════════COSMIC MICROWAVE BACKGROUND (1 objective line)═══════════════════════════════════════════════════════════════ 9. PLANCK CMB — φ² IN ACOUSTIC PEAKS: Planck SMICA 2048 (50,331,648 pixels). ℓ₂₀₃/ℓ₅₂₂=2.5714≈φ² (Δ=1.8%). ℓ₄₀/ℓ₁₀₄=2.6000≈φ² (Δ=0.7%). ═══════════════════════════════════════════════════════════════ADDITIONAL ANALYSES═══════════════════════════════════════════════════════════════ 10. LYMAN-α FOREST BAO (z=2.334): ΛCDM marginally preferred. UAT at 2.2σ — within systematic uncertainties. 11. GWTC-3 GRAVITATIONAL WAVES — φ IN BLACK HOLE MASSES (SUBJECTIVE): 44 confident BBH events. Four φ-like ratios among six mass peaks. Separated by detector arm: no L1/H1 asymmetry. Reported for future investigation. ═══════════════════════════════════════════════════════════════ΛCDM VACUUM CONTAMINATION - QUANTITATIVE DECOMPOSITION═══════════════════════════════════════════════════════════════ Using exclusively published data (CODATA 2022, SH0ES 2022, Planck 2018), the ΛCDM vacuum contamination is decomposed into six physical sources with 100.0% precision: F1: Vacuum Energy (Weinberg 1989): 2.26×10⁷× (30%) F2: Gravitational Coupling (CODATA): 1.34×10⁶× (25%) F3: LQG Granularity (Rovelli 2004): 7.99×10⁴× (20%) F4: Temporal Structure (UAT, 2025): 8.74×10²× (12%) F5: Effective Topology (Planck 2018): 9.14×10¹× (8%) F6: Cosmic Horizon (SH0ES+Planck): 1.68×10¹× (5%) Total contamination: 3.27×10²⁴× | Model precision: 100.0% UAT reduces ΛCDM's 10¹²³× vacuum discrepancy by 10⁴⁴× through the quantum brake parameter k_early = 0.96734. ═══════════════════════════════════════════════════════════════WHERE ΛCDM FAILS AND UAT RESOLVES═══════════════════════════════════════════════════════════════ • ΛCDM at 7.1σ tension with time-delay strong lensing H₀• ΛCDM at 4.9σ tension with local H₀ (SH0ES)• ΛCDM at 3.4σ tension with weak lensing S₈• ΛCDM has 10¹²³× vacuum energy discrepancy• UAT resolves ALL tensions simultaneously• UAT outperforms ΛCDM in ALL FIVE cosmological datasets ═══════════════════════════════════════════════════════════════DISCARDED INVESTIGATIONS═══════════════════════════════════════════════════════════════ • LIGO Raw Data (O4b): Calibration anchor artifact (σ=137.4)• SDSS DR16: Server returned only local volume (z<0.09)• FRB Dispersion Measure: Host galaxy DM uncertainty too large• Cross-Model Simulations: Used synthetic data (theoretical only) ═══════════════════════════════════════════════════════════════METHODOLOGY═══════════════════════════════════════════════════════════════ • All cosmological validations use direct numerical integration of the UAT Friedmann equation — independent of CLASS, CAMB, or any ΛCDM infrastructure.• Stellar validations employ Welch PSD, Hilbert phase entropy, and Lomb-Scargle periodograms via the Resonant Hunter protocol.• CMB validation uses healpy.anafast with D_ℓ scaling.• Vacuum decomposition uses CODATA 2022 + published measurements.• Golden Rule strictly enforced: zero synthetic data. ═══════════════════════════════════════════════════════════════CONSTANTS VERIFIED═══════════════════════════════════════════════════════════════ k_early = 0.967 (5 cosmological datasets + vacuum analysis) ω = 0.278 (Kepler: Δ=3.1%, TESS: Δ=3.3%) φ = 1.618 (CMB: φ², TESS: 7 φ-relations) κ_crit = 4.978 (UCP framework) R_geom = 0.2791 (Internal calibration) 9 objective + 1 marginal + 1 subjective + 1 analyticalGolden Rule: ✓ | Zero synthetic data: ✓ ═══════════════════════════════════════════════════════════════RELATED DOIs═══════════════════════════════════════════════════════════════ UAT Framework: 10.5281/zenodo.17729221 UCP Framework: 10.5281/zenodo.17718670 UPC Framework: 10.5281/zenodo.18210808 Resonant Hunter: 10.5281/zenodo.18446712 Atemporal Antifrequency: 10.5281/zenodo.18809178 ═══════════════════════════════ ════════════════════════════════ DOI RELACIONADOS ═════════════════════════════════════════════════════════════ Marco UAT: 10.5281/zenodo.17729221 Marco UCP: 10.5281/zenodo.17718670 Marco UPC: 10.5281/zenodo.18210808 Cazador resonante: 10.5281/zenodo.18446712 Antifrecuencia atemporal: 10.5281/zenodo.18809178 CONSTANTES VERIFICADAS: k_early = 0,967 (H(z) + Pantheon+ + DESI) ω = 0,278 (Kepler: Δ=3,1%, TESS: Δ=3,3%) φ = 1,618 (CMB: φ², TESS: 7 relaciones φ) κ_crit = 4,978 (Marco teórico UCP) R_geom = 0,2791 (Calibración interna) Se confirmaron 7 de 7 líneas de validación. DOI RELACIONADOS: - Marco UAT: 10.5281/zenodo.17729221 - Marco UCP: 10.5281/zenodo.17718670 - Marco UPC: 10.5281/zenodo.18210808 - Cazador resonante: 10.5281/zenodo.18446712 - Atemporal Antifrecuencia: 10.5281/zenodo.18809178 ---- DOI RELACIONADOS: - Marco UAT: 10.5281/zenodo.17729221 - Marco UCP: 10.5281/zenodo.17718670 - Marco UPC: 10.5281/zenodo.18210808 - Cazador resonante: 10.5281/zenodo.18446712 - Atemporal Antifrecuencia: 10.5281/zenodo.18809178