What does this research mean for the field?

The Unified Applicable Time (UAT) framework is empirically validated across multiple astronomical domains, outperforming the standard ΓCDM model in fitting cosmic chronometer data and resolving the Hubble tension. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

To empirically validate the Unified Applicable Time (UAT) framework across multiple astronomical domains using real observational data.

June 28, 2026Open Access

Empirical Validation of the Unified Applicable Time (UAT) Framework: Convergent Evidence from Cosmology, Kepler Photometry, and the Planck CMB

Key Points

To empirically validate the Unified Applicable Time (UAT) framework across multiple astronomical domains using real observational data.
Four validations: cosmology with cosmic chronometer data, Kepler photometry light curve analysis, CMB analysis using Planck data, and an internal consistency check using the Resonant Hunter protocol.
Cosmological validation involved fitting the UAT Friedmann equation to H(z) data and comparing it against ΛCDM.
Kepler validation examined stellar envelope modulations across multiple light curves with statistical significance.
The UAT Friedmann equation showed a chi-square of 7.38, outperforming ΛCDM (chi-square 7.84), resolving Hubble tension with H₀ = 73.00 km/s/Mpc.
Kepler analysis yielded mean phase invariant ω = 0.2868 with Δ = 3.1%, achieving 99× significance.
CMB analysis revealed acoustic peak ratios featuring φ² ≈ 2.618 with sub-2% precision in two detected relations.

Abstract

Technical note presenting four independent empirical validations of the Unified Applicable Time (UAT) framework and its corollaries (UCP/UPC). The validations span three astronomical domains using exclusively real observational data: 1. COSMOLOGY: The UAT Friedmann equation with quantum brake parameter kₑarly = 0. 96734 fits cosmic chronometer H (z) data with χ² = 7. 38, outperforming ΛCDM (χ² = 7. 84) while resolving the Hubble tension (H₀ = 73. 00 km/s/Mpc). 2. KEPLER PHOTOMETRY: The UAT phase invariant ω = 0. 278 emerges in stellar envelope modulation of 3/3 Kepler light curves (KIC 10661783, 4851217, 7907119) with mean detected value ω = 0. 2868 (Δ = 3. 1%), at 99× significance over control frequency bands. 3. CMB PLANCK: The golden ratio φ² ≈ 2. 618 appears in acoustic peak ratios of the Planck SMICA 2048 angular power spectrum. Two φ² relations are detected with sub-2% precision: ℓ₂₀₃/ℓ₅₂₂ = 2. 5714 and ℓ₄₀/ℓ₁₀₄ = 2. 6000. 4. INTERNAL CONSISTENCY: The Resonant Hunter (RH) protocol recovers fundamental UAT frequencies (fb = 187. 4 Hz, fb×φ = 303. 2 Hz) from controlled signal injection. GOLDEN RULE ENFORCED: All external validations use exclusively real observational data. Zero synthetic or simulated data were employed in cosmological, stellar, or CMB analyses. 4/4 validation lines confirmed. 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 --- **Autor principal y arquitecto del marco: ** Miguel Ángel Percudani (Investigador independiente, Argentina). **Referencias principales y antecedentes directos: ** - Marco de Tiempo Aplicado Universal (UAT): DOI 10. 5281/zenodo. 17729221 - Principio Causal Unificado (UCP): DOI 10. 5281/zenodo. 18210808 - Protocolo de Cazador Resonante: DOI 10. 5281/zenodo. 18446712 DOI relacionados: - Catálogo UAT-VASCO: 10. 5281/zenodo. 20755316 - Resonant Hunter v9. 0/v9. 1: 10. 5281/zenodo. 20650032 - Endurecimiento estadístico del TVI: 10. 5281/zenodo. 20723412 - Formulación lagrangiana UAT: 10. 5281/zenodo. 20500722 - Limitaciones técnicas de UAT/UCP: 10. 5281/zenodo. 20534771 DOI relacionados: - Catálogo UAT-VASCO: 10. 5281/zenodo. 20755316 - Resonant Hunter v9. 0/v9. 1: 10. 5281/zenodo. 20650032 - Endurecimiento estadístico del TVI: 10. 5281/zenodo. 20723412 - Formulación lagrangiana UAT: 10. 5281/zenodo. 20500722 - Limitaciones técnicas de UAT/UCP: 10. 5281/zenodo. 20534771 - Limitaciones de la ecuación de estado de UAT: 10. 5281/zenodo. 20533731

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