EL Science Volume 6 (Unified): Structural Divergence Tests

EL Science Volume 6 (Unified) presents the complete structural-divergence test program of the EL Science 4-variable imbalance bridge using frozen parameters from Volume 4 v2. The volume consolidates all previously separated Volume 6 documents into a single unified observational framework: the main structural-divergence tests, higher-dimensional transition and memory analyses, and additional positive, negative, and bounded verification tests. All calculations use fixed bridge parameters: λ = 0.7135 τ_today = 13.4565 τ_scale = 1.2670 H₀ = 67.4 with zero retroactive fitting at the cosmological layer. The unified volume reports nine structural tests: Hubble tension predictionThe framework predicts:ΔH₀ = +3.86 km/s/Mpc,matching the observed direction of the Hubble tension and accounting for approximately 69% of the observed discrepancy. Growth-of-structure / σ₈ predictionThe bridge predicts suppressed late-time growth relative to ΛCDM in the correct observational direction, though with partial magnitude. Pre-registered DESI DR2 and Euclid BAO predictionsExplicit frozen predictions and falsifiability criteria are established before future data release. Redshift-space distortion (RSD) fingerprintThe framework predicts a bipolar crossover structure in fσ₈(z) near z ≈ 0.7–0.8. Transition-era asymmetry testThe bridge predicts measurable structural differences between: matter-radiation equality, and matter-dark-energy equality,including earlier dark-energy takeover, sharper transition width, and increased cross-era asymmetry. Memory length-scale signaturesThe framework identifies three explicit redshift memory scales: Δz = 0.287 Δz = 0.478 Δz = 0.827 which propagate coherently into multiple observables and do not exist within ΛCDM. Period-locked oscillation search (negative result)The framework finds no measurable oscillatory structure beyond the bipolar fingerprint due to overdamped dynamics (Q < 1). CMB lensing × BAO cross-correlation testThe bridge predicts a bipolar redshift-dependent correlation modification consistent in direction with current Planck × DESI Legacy observations. Vacuum stability at recombination (preliminary)The analysis explicitly documents why meaningful recombination-era predictions require a future 5-variable cosmological bridge and a covariant plasma coupling formalism. Across all tests, the same bipolar crossover signature repeatedly emerges near z ≈ 0.75 across multiple independent observables: L(z), D_H/r_d, growth ratios, fσ₈(z), Ω_DE(z), memory autocorrelation, and lensing–BAO correlations. The volume records: positive results, negative results, partial agreements, open problems, and bounded limitations explicitly and honestly. The framework does not claim confirmation over ΛCDM.Instead, the unified volume establishes EL Science as a structurally predictive cosmological research program operating beyond compatibility-level fitting and into frozen-parameter observational engagement. Author: EL Boulos TaukYear: 2026