What question did this study set out to answer?

This research aims to validate the Unified Applicable Time (UAT) framework through empirical evidence from multiple astronomical fields.

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 One Subjective Observation from Gravitational Wave Astrophysics

Key Points

This research aims to validate the Unified Applicable Time (UAT) framework through empirical evidence from multiple astronomical fields.
Consolidated nine objective validations using real observational data across cosmology, astrophysics, and gravitational wave observations.
Analyses employed direct numerical integration of the UAT Friedmann equation, ensuring no synthetic data used.
Utilized various observational datasets including cosmic chronometers, supernovae, and gravitational wave data.
UAT shows improved fitting across all validated datasets, outperforming ΛCDM in five cosmological datasets.
H₀ consistent across UAT and local measurements (73.00 km/s/Mpc) as opposed to ΛCDM's 67.40 km/s/Mpc, rejected at 7.1σ.
All tensions resolved simultaneously in UAT's framework, with evidence supporting multiple astrophysical phenomena.

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 one subjective observation and three documented exclusions. All validations use exclusively real observational data with zero synthetic data 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. Explicit column mapping: zHD, MUSH0ES, MUSH0ESERRDIAG. 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: χ² 163. 5 vs 273. 0 (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+ result. 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. ΛCDM's H₀=67. 4 is catastrophically rejected by lensing data. UAT outperforms ΛCDM in ALL FIVE cosmological datasets. UAT: H₀=73. 00 km/s/Mpc — consistent with local, lensing, and CMB. ΛCDM: H₀=67. 40 km/s/Mpc — excluded at 7. 1σ by lensing alone. ═══════════════════════════════════════════════════════════════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. KIC 10661783, 4851217, 7907119. 7. TESS PHOTOMETRY — ω VIA PHASE ENTROPY: Dimensional Phase Entropy Scanning (Resonant Hunter v6. 0). 1. 5-day physical window, dynamic Welch scaling (Δf<0. 01), Hilbert phase entropy. ω=0. 2687 (Δ=3. 3%) in 7/9 TESS stars. 2. 9× over power method. Cross-mission convergence with Kepler at ~3% calibration margin. 8. TESS PHOTOMETRY — φ RELATIONSHIPS: Golden ratio φ=1. 618 structures stellar period ratios in 5/9 TESS stars (7 independent φ-relationships). TIC 283722336 exhibits φ, φ², √φ simultaneously. ═══════════════════════════════════════════════════════════════COSMIC MICROWAVE BACKGROUND (1 objective line) ═══════════════════════════════════════════════════════════════ 9. PLANCK CMB — φ² IN ACOUSTIC PEAKS: Planck SMICA 2048 (50, 331, 648 pixels). D_ℓ=ℓ (ℓ+1) C_ℓ/ (2π) scaling. ℓ₂₀₃/ℓ₅₂₂=2. 5714≈φ² (Δ=1. 8%). ℓ₄₀/ℓ₁₀₄=2. 6000≈φ² (Δ=0. 7%). Two φ² relations detected with sub-2% precision. ═══════════════════════════════════════════════════════════════ADDITIONAL ANALYSES═══════════════════════════════════════════════════════════════ 10. GWTC-3 GRAVITATIONAL WAVES — φ IN BLACK HOLE MASSES (SUBJECTIVE): 44 BBH events. Four φ-like ratios among six peaks in primary mass distribution. Sensitive to binning. Median q=0. 717 (1/φ=0. 618). Reported for future investigation with larger catalogs (O4, O5). 11. LYMAN-α FOREST BAO (z=2. 334): ΛCDM marginally preferred (χ² 1. 31 vs 5. 09). UAT at 2. 2σ — within systematic uncertainties of Lyman-α forest modeling. Reported for completeness. ═══════════════════════════════════════════════════════════════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• UAT resolves ALL THREE tensions simultaneously• UAT outperforms ΛCDM in ALL FIVE cosmological datasets ═══════════════════════════════════════════════════════════════DISCARDED INVESTIGATIONS═══════════════════════════════════════════════════════════════ • LIGO Raw Data (O4b): σ=137. 4 was calibration anchor artifact. • SDSS DR16: Server returned only local volume (z<0. 09). • FRB Dispersion Measure: Host galaxy DM uncertainty too large. ═══════════════════════════════════════════════════════════════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. • Golden Rule strictly enforced: zero synthetic data. ═══════════════════════════════════════════════════════════════CONSTANTS VERIFIED═══════════════════════════════════════════════════════════════ kₑarly = 0. 967 (5 cosmological datasets) ω = 0. 278 (Kepler: Δ=3. 1%, TESS: Δ=3. 3%) φ = 1. 618 (CMB: φ², TESS: 7 φ-relations, GWTC-3: subjective) κcrit = 4. 978 (UCP framework) Rgeom = 0. 2791 (Internal calibration) 9 objective + 1 subjective + 1 marginal = 11 lines of evidenceGolden 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 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

Read Full Paperexternally

Ask AI

Mark Helpful

Bookmark

Relay

View Full Paper