What does this research mean for the field?

The fundamental constants of the Unified Applicable Time (UAT) framework, specifically the phase invariant ω and the golden ratio φ, are empirically validated in TESS stellar photometry, confirming previous Kepler detections and demonstrating that ω constitutes a state of minimum phase disorder in stellar envelopes. Novelty: ClaimNovelty.CONFIRMATORY. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

This validation aims to confirm the phase invariant constants ω and φ within the Unified Applicable Time framework using observational data.

June 28, 2026Open Access

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

Key Points

This validation aims to confirm the phase invariant constants ω and φ within the Unified Applicable Time framework using observational data.
Analyzed 9 confirmed TIC targets using Welch power spectral density estimation and Dimensional Phase Entropy Scanning.
Used real light curves from the TESS satellite, maintaining 100% real cadences and employing a 1.5-day physical time window.
Detected phase invariant ω in 7 of 9 stars (77.8%) with ω_TESS = 0.2687, Δ = 3.3% from theory.
Identified the golden ratio φ in 5 of 9 stars, yielding 7 independent φ-relationships.
Confirmed 6 out of 6 validation lines with enhanced χ² values compared to ΛCDM.

Abstract

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 ωTESS = 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 (qualitybitmask=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

Read Full Paperexternally

اسأل الذكاء الاصطناعي

Bookmark

View Full Paper