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Cosmological Fractions from Toroidal Architecture: Deriving Dark Energy, Dark Matter and Baryonic Matter from π and φ — Overview
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Within the toroidal ODTOE model, the cosmological fractions of dark energy, dark matter and baryonic matter are derived from two structural invariants: π and φ.
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Within the toroidal ODTOE model, the cosmological fractions of dark energy, dark matter, and baryonic (visible) matter are derived from two structural invariants—π and φ. The φ-torus possesses three topological sectors: inter-level (large radius R, gravitational inertia ∝R²=φ²), intra-level (small radius r, inertia ∝r²=1), and gap sectors (accumulated spiral gaps Z=(π−3)/[1+(π−3)φ]). The normalized fractions are ΩΛ:ΩDM:Ωb = φ²:1:Z = 68.86%:26.30%:4.83%. Compared with Planck 2018 data: dark energy 0.54σ, dark matter 0.32σ, baryonic 1.64σ. Zero fitting parameters.
Related articleCosmological Fractions from Toroidal Architecture: Deriving Dark Energy, Dark Matter and Baryonic Matter from π and φRead article →Article section: Cosmology & Universe