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June 29, 2026Open Access

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 Vacuum Contamination

Key Points

This research consolidates empirical validations of the Unified Applicable Time (UAT) framework across various astrophysical datasets.
Nine objective validations utilizing real observational data from cosmological sources.
Direct numerical integration of the UAT Friedmann equation, employing various analysis techniques for each dataset.
Quantitative decomposition of ΛCDM vacuum contamination using established published measurements.
UAT was found to outperform ΛCDM in five cosmological datasets, with improved fit statistics in each case.
Achieved 100.0% precision in the quantitative decomposition of ΛCDM vacuum contamination into six physical sources.
Confirmed constants and relationships, including the golden ratio and phase entropy in stellar astrophysics.

Abstract

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. DA/rd: 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 kₑarly = 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═══════════════════════════════════════════════════════════════ kₑarly = 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) κcrit = 4. 978 (UCP framework) Rgeom = 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: kₑarly = 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) κcrit = 4, 978 (Marco teórico UCP) Rgeom = 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

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