This analysis derives energy density fractions in the universe, revealing close alignment with Planck measurements, indicating potential implications for cosmic understanding.
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.
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Daniel Florin Cherloaba (2026) studied this question.
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