Empirical Validation of the Unified Applicable Time (UAT) Framework with TESS Photometry: Detection of the Phase Invariant ω and Golden Ratio φ via Dimensional Phase Entropy Scanning

Technical report presenting the validation of two fundamental constants of the Unified Applicable Time (UAT) framework — the phase invariant ω = 0.278 and the golden ratio φ = 1.618 — using real light curves from the Transiting Exoplanet Survey Satellite (TESS). A sample of 9 confirmed TIC targets was analyzed using two complementary methods: Welch power spectral density estimation (Resonant Hunter v5.3) and Dimensional Phase Entropy Scanning (Resonant Hunter v6.0). KEY RESULTS:• The entropy-based method proved decisively superior, detecting ω in 7 of 9 stars (77.8%) with mean value ω_TESS = 0.2687 and deviation of only Δ = 3.3% from theory — comparable to Kepler's Δ = 3.1%.• The golden ratio φ was identified in 5 of 9 stars, yielding 7 independent φ-relationships.• The phase entropy method revealed that ω constitutes a minimum of phase disorder in stellar envelopes: at this specific frequency, the photometric signal achieves its state of lowest topological resistance.• Cross-mission convergence of ω across two independent space telescopes (Kepler and TESS) with near-identical calibration margins (~3%) rules out instrumental artifacts. METHODOLOGY:• Dimensional Phase Entropy Scanning adapted from the Resonant Hunter LIGO analysis to stellar photometry• 100% real cadences retained (quality_bitmask=None)• 1.5-day physical time window for envelope extraction• Sub-0.01 cycles/day spectral resolution via dynamic nperseg scaling• Dynamic σ-based Lomb-Scargle thresholding for φ detection GOLDEN RULE ENFORCED: All validations use exclusively real observational data. Zero synthetic or simulated data were employed. CONSOLIDATED STATUS: 6 of 6 validation lines confirmed: 1. Cosmology H(z): χ²(UAT)=7.38 < χ²(ΛCDM)=7.84 (5.9% better) 2. Pantheon+ SN Ia: χ²(UAT)=787.3 < χ²(ΛCDM)=2143.5 (63.3% better) 3. Kepler (ω): ω=0.2868 (Δ=3.1%) in 3/3 stars 4. TESS (ω+φ): ω=0.2687 (Δ=3.3%) + 7 φ-relations in 9 stars 5. CMB Planck (φ²): 2 φ² acoustic peak relations 6. Controlled Injection: fb and fb×φ recovered 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