UN THEORY 12-Sector Multi-Probe Empirical Validation of the Unified Information Substrate - Large-Scale Geometry, Screening Boundaries, & Two-Regime Cosmology

This paper presents the complete 12-sector empirical validation suite for the Unified Information Substrate (UN Theory, document code UN-EMP-V12-FULL), benchmarked against observational sky data from Euclid Quick Release Q1, DESI DR1/DR2, BOSS DR12, JWST, Planck PR4/SPA, and associated multi-probe surveys. The paper addresses the observational scale dichotomy in modern cosmology: on large and quasi-linear scales (R >= 5-10 Mpc), standard Lambda-CDM suffers severe multi-probe empirical breakdowns across growth rates, high-redshift structure formation, cosmic web topology, and non-Gaussian parity statistics. Conversely, inside local virialized potential wells (R <= 1-5 Mpc), standard Newtonian and Navarro-Frenk-White (NFW) profiles match local data. Across 12 independent empirical sectors, UN Theory achieves decisive statistical preference over Lambda-CDM (Δ AIC << -10) in 8 large-scale sectors, while the remaining 4 local sectors map the physical screening boundary where non-local substrate coupling experiences environmental suppression (Chameleon/Vainshtein-type screening).