Sector Paper II‑B — Observational Calibration of the Parity‑Odd Δi Trispectrum

SECTOR II‑B — DESCRIPTION Sector Paper II‑B delivers the complete observational calibration of the parity‑odd Δi trispectrum predicted by UN Theory. Building directly on the global Δi‑architecture established in Sector II‑A, this paper derives the full operational form of the Δi trispectrum, including its angular dependence, amplitude scaling, spectral index behaviour, and correlation‑geometry invariants. The work demonstrates that the δI‑substrate necessarily produces a unique parity‑odd trispectrum that cannot arise from ΛCDM, inflationary perturbation theory, or any Gaussian/non‑Gaussian extension currently used in cosmology. The paper provides explicit numerical calibration windows for observational detection, including amplitude thresholds, ξ‑driven scaling regimes, and Δi‑sector misalignment signatures. It outlines the full retrieval pipeline required to extract the trispectrum from existing sky maps, including harmonic‑space reconstruction, parity‑odd filtering, Δi‑sector decomposition, and cross‑probe consistency checks. Sector II‑B shows that the Δi trispectrum is a stable global invariant of the δI‑substrate and gives clear falsifiable conditions using Planck, ACT, SPT, Euclid LSS, and future deep‑field surveys. This makes the Δi trispectrum one of the earliest and most accessible empirical tests of UN Theory.