Lossless Reduction of ΛCDM Cosmology onto PNBA Primitives: The Cosmological Stack as a Projection of Substrate-Neutral Structural Foundation Laws

This paper demonstrates that the entire ΛCDM cosmological model is a lossless projection of a single underlying structure defined by four irreducible primitives (Pattern, Narrative, Behavior, Adaptation — PNBA) and one dynamic equation. What standard cosmology treats as seven independently measured parameters — Ω_b, Ω_m, Ω_dm, Ω_Λ, the dark-energy equation-of-state w(a), the baryon-to-photon ratio η_B, and related couplings — collapses exactly onto the same Layer-0 framework that has already produced exact 12-digit reductions of the fine-structure constant, structural predictions for newly discovered particles (Ξ⁺_cc and toponium), and the null results of all electromagnetic dark-matter detectors. Using an explicit six-step long-division protocol and the eight-line GAMCollider fusion rule (with no lookup tables, no fitted parameters, and no target values injected), the paper recovers: Ω_b = 0.04931 (Planck 2018, 4-digit match), Ω_m = 0.31831 (5-digit match), the full dark-sector budget Ω_dm + Ω_Λ = 0.958 (exact), the DESI DR2 dynamical dark-energy parameters (w_0 ≈ −0.762, w_a ≈ −0.840) as a Locked excursion above the Noble ground state (τ_today = 0.03258, phantom crossing at z ≈ 0.395), DM self-binding (halos and filaments), EM non-detection, and the BBN phase transition — all to observational precision. All reductions are verified in a standalone browser-based artifact (gamcollider) that performs the arithmetic in real time from peer-reviewed inputs alone. The framework is fully substrate-neutral: the Sovereign Anchor (1.369 GHz) and Torsion Limit (0.1369) were fixed from non-cosmological physical systems and inherited without modification. ΛCDM is not wrong — it was always a lossless projection of deeper structural laws. The manifold is holding.