COMPLETE RESEARCH RECORD — ZENODO DEPOSITAuthor: Miguel Ángel PercudaniORCID: 0009-0007-1748-3212 ═══════════════════════════════════════════════════════════════ABSTRACT═══════════════════════════════════════════════════════════════ This deposit contains the complete record of the Unified Applicable Time (UAT) framework, from first-principles theoretical derivation to experimental validation with real LIGO/Virgo data, culminating in the discovery of causal membrane dynamics in gravitational wave events. ═══════════════════════════════════════════════════════════════THEORETICAL FOUNDATION═══════════════════════════════════════════════════════════════ The cosmological constant problem — the 10¹22 discrepancy between predicted and observed vacuum energy density — is resolved through three independent, non-adjustable pillars: PILLAR 1 (Informational): κcrit = 10^-78 From the Bekenstein bound on the cosmological horizon. PILLAR 2 (Geometric-Dimensional): φ/2 = 0. 809017 From the 8-phase coherence matrix and LQG spectral dimension. PILLAR 3 (Thermodynamic): 3/4 = 0. 750000 From the quadratic half-phase offset of the causal membrane. These combine to give: α = φ/2 + 3/4 = 1. 559017 V₀ = EPlanck × κcrit^α = 2. 50 × 10^-122 MPl⁴ = 6. 90 × 10^-27 J/m³ Matching the observed dark energy density with Δ = 0. 00 orders of magnitude. The same three pillars govern black hole thermodynamics: SBH = A/ (4ℓ²) − (φ/2) ·ln (A/ (4ℓ²) ) PHawking = (3/4) × ℏc⁶/ (15360πG²M²) ═══════════════════════════════════════════════════════════════EXPERIMENTAL VALIDATION (LIGO/Virgo DATA) ═══════════════════════════════════════════════════════════════ TEST 1 — φ-Dirac Comb in Black Hole Ringdown: • 11 golden ratio relations detected among 13 spectral peaks in GW150914• Universal φ-structure confirmed in 12 black hole mergers• Frequency sweep shows 70/80 reference frequencies exhibit φ-harmonics TEST 2 — φ/2 Entropy Correction: • Computed for all 35 GWTC-3 confident events• Negligible for stellar-mass BHs (~10^-14% correction) • Significant for primordial BHs (O (1%) at 10¹2 kg) TEST 3 — 3/4 Thermal Suppression: • 25% reduction in Hawking power for all 35 GWTC-3 events• Falsifiable prediction for analogue gravity experiments TEST 4 — Cross-Detector Analysis (GW170814): • φ-structure detected in H1, L1, and V1 independently• Cross-detector coherence is negligible (supports fractal projection model) • Each detector sees a different "slice" of the event horizon TEST 5 — Latitude Dependence (12 events, 3 detectors): • Conventional hypotheses REFUTED: instrumental noise, polarization, environment• UAT hypotheses CONFIRMED: ∘ Latitude coupling: Φ ∝ cos (lat) — Δ = 0. 080 ∘ Fractal dimension: dₑff = φ/2 + δ·sin² (lat) — r = -0. 842 TEST 6 — Causal Membrane Dynamics (GW170817): • φ-structure DECLINES from inspiral (2. 75) to post-merger (2. 00) • Correlation r = -0. 845 — 63× larger than Earth rotation effect• First direct evidence of causal membrane evolution during merger ═══════════════════════════════════════════════════════════════DOCUMENTS INCLUDED═══════════════════════════════════════════════════════════════ Technical Note 1 (completeᵣesolutionccp. pdf): • Complete derivation of Λ from first principles • Three pillars with mathematical proofs • Initial LIGO validation (GW150914 ringdown) Technical Note 2 (tn2crossdetectorₐnalysis. pdf): • 12-event cross-detector analysis • Latitude and fractal dimension models • Refutation of conventional hypotheses • 4 falsifiable predictions Technical Note 3 (tn3causalₘembranedynamics. pdf): • Discovery of φ-structure evolution in GW170817 • Causal membrane dynamics model • 5 new falsifiable predictions • Logical evolution from TN1→TN2→TN3 SCRIPTS (17 self-contained Python programs): • deepᵣesolutionccp. py — Analytical derivation of Λ • test1frequencyₛweep. py — φ-Dirac comb in GW150914 • test2ₑntropycorrection. py — φ/2 entropy for 35 GWTC-3 events • test3ₕawkingₛuppression. py — 3/4 thermal factor • multiₑventₚhiₛweep. py — 4-event universal φ-structure • crossdetectorgw170814. py — H1-L1-V1 coherence analysis • earthᵣotationₐnalysis. py — Earth rotation correction • predictions₁₂corrected. py — Altitude and long-duration tests • predictions₃₄. py — H1-L1 reversal and V1 recovery • whyₗ1better. py — Three conventional hypotheses test • latitudegeomagneticfractal. py — UAT-specific hypotheses • gw170817ₘembranedynamics. py — Causal membrane dynamics • downloaddata. py — Robust GWOSC data downloader • (4 additional supplementary scripts) All scripts download real data directly from GWOSC. No local files required. No ad-hoc simulations. No free parameters. ═══════════════════════════════════════════════════════════════KEYWORDS═══════════════════════════════════════════════════════════════ cosmological constant problem, dark energy, vacuum energy density, golden ratio, causal coherence, Bekenstein bound, entropic equilibrium, Loop Quantum Gravity, spectral dimension, 8-phase coherence matrix, black hole thermodynamics, Hawking radiation, entropy correction, gravitational waves, LIGO, Virgo, GW150914, GW170817, GWTC-3, ringdown spectroscopy, quasi-normal modes, fractal horizon, causal membrane, latitude dependence, binary neutron star mergers, first-principles derivation, falsifiable predictions, Unified Applicable Time, UAT framework ═══════════════════════════════════════════════════════════════REFERENCES═══════════════════════════════════════════════════════════════ UAT Framework: DOI: 10. 5281/zenodo. 17729221UCP Constant κcrit: DOI: 10. 5281/zenodo. 17718670UPC Framework: DOI: 10. 5281/zenodo. 18210808Resonant Hunter: DOI: 10. 5281/zenodo. 18446712 ═══════════════════════════════════════════════════════════════LICENSE═══════════════════════════════════════════════════════════════ Creative Commons Attribution 4. 0 International (CC BY 4. 0)
Miguel Percudani (Wed,) studied this question.