The Cosmic Budget Solved: ΩDM + Ωb + ΩΛ ≈ 1 from the GF(3) Lattice

We derive the three energy density fractions of the universe from the GF(3) lattice: dark matter ΩDM = 24/91, baryonic matter Ωb = 22/455, and dark energy ΩΛ = 9/13. The denominators arise from projective space cardinalities: 91 = |P2(GF(9))|, 455 = 5 × 91,13 = |P2(F3)|. The three-component sum is 24/91 + 22/455 + 9/13 = 457/455 = 1.0044, a 0.44% residual above unity. Individual matches: ΩDM = 0.2637 (Planck: 0.2589, 1.9%), Ωb = 0.04835 (Planck: 0.0486, 0.5%), ΩΛ = 0.6923 (Planck: 0.6889, 0.5%). The residual 2/455 ≈ 0.0044 is roughly 48× larger than the observed radiation density Ωr ≈ 10−4; we discuss this discrepancy honestly in Section 4. Despite the imperfect closure, the fact that three independently derived algebraic fractions land within 1–2% of Planck values is a strong structural constraint.