GEOMETRIC BASIS: 1^2 + 2^2 = (sqrt(5))^2 w = 2 (Structural Constant) δ = sqrt(5) (Dynamic Constant) GRAVITATIONAL HIERARCHY: r_p ≈ w * (m_P / m_p)^2 * r_s r_p = w^2 * (ħ / (m_p * c)) r_p = w^2 * ƛ_p r_p ≈ 8.41235 x 10^-16 m Experimental: 8.4075 (64) x 10^-16 m [CODATA 2022] Discrepancy: 577 ppm PROTON MAGNETIC MOMENT: g_p = (δ^2 / w) * δ g_p = 2.5 * sqrt(5) ≈ 5.590 Experimental: 5.58569 [CODATA 2022] Discrepancy: 802 ppm NEUTRON-PROTON MASS GAP: ∆m = m_e * ((δ^2 / w) + w^2 * α) ∆m ≈ 1.29241 MeV Experimental: 1.29333 MeV Discrepancy: 711 ppm COSMOLOGICAL RATIO: Ω_Λ / Ω_m = δ Ω_Λ / Ω_m = 2.2360 Experimental: 2.2144 [Planck 2018] Discrepancy: < 1% -------------------------------------------------- TOPOLOGICAL ORIGIN: In a D = 3 universe, Mass scales as Volume (L^3): Linear scaling (r): r ~ m^(1/3) Surface scaling (A): A ~ r^2 ~ m^(2/3) w = (Surface exp) / (Linear exp) = (2/3) / (1/3) = 2 NULL HYPOTHESIS CHECK: If D != 3 => w != 2 => Predictions fail. Empirical data validates D = 3 topology.
albert_roca•58m ago