Unified Applicable Time (UAT) Framework: Complete Resolution of the Cosmological Constant Problem and Discovery of Causal Membrane Dynamics in Gravitational Wave Events — Technical Notes Series with LIGO/Virgo Validation

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 10^122 discrepancy between predicted and observed vacuum energy density — is resolved through three independent, non-adjustable pillars: PILLAR 1 (Informational): κ_crit = 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 = E_Planck × κ_crit^α = 2.50 × 10^-122 M_Pl⁴ = 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: S_BH = A/(4ℓ²) − (φ/2)·ln(A/(4ℓ²)) P_Hawking = (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 10^12 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: d_eff = 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 (complete_resolution_ccp.pdf): • Complete derivation of Λ from first principles • Three pillars with mathematical proofs • Initial LIGO validation (GW150914 ringdown) Technical Note 2 (tn2_cross_detector_analysis.pdf): • 12-event cross-detector analysis • Latitude and fractal dimension models • Refutation of conventional hypotheses • 4 falsifiable predictions Technical Note 3 (tn3_causal_membrane_dynamics.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): • deep_resolution_ccp.py — Analytical derivation of Λ • test1_frequency_sweep.py — φ-Dirac comb in GW150914 • test2_entropy_correction.py — φ/2 entropy for 35 GWTC-3 events • test3_hawking_suppression.py — 3/4 thermal factor • multi_event_phi_sweep.py — 4-event universal φ-structure • cross_detector_gw170814.py — H1-L1-V1 coherence analysis • earth_rotation_analysis.py — Earth rotation correction • predictions_1_2_corrected.py — Altitude and long-duration tests • predictions_3_4.py — H1-L1 reversal and V1 recovery • why_l1_better.py — Three conventional hypotheses test • latitude_geomagnetic_fractal.py — UAT-specific hypotheses • gw170817_membrane_dynamics.py — Causal membrane dynamics • download_data.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 κ_crit: 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)