Galaxy Rotation Curves as Wilson-Fisher Renormalisation Group Flows: A dS4/CFT3 Dual of Entropy-Response Gravity

We construct the holographic dual of Entropy-Response Gravity (ERG) across fifteen independent computations. ERG in de Sitter space admits a dS₄/CFT₃ dual: the three-dimensional large-N O(N) vector model at its Wilson-Fisher fixed point, with N = (L_dS/l_P)²/π ≈ 2.26 × 10¹²¹. The boundary Lagrangian is the μ-DBI theory L = F(Q) = ∫₀^Q μ(√q) dq, whose loop expansion F(Q) = Σₙ aₙ Q^(n+3/2) has exact rational coefficients aₙ = (−1)ⁿ Γ(n+½) / [√π Γ(n+1) (n+3/2)], each corresponding to an n-bubble Feynman diagram at large N. The holographic RG flow c_s²(Q) = (Q+1)/(Q+2) is measured directly in 3391 radii across 175 SPARC galaxies: mean c_s² = 0.508 ± 0.003 at outermost radii versus the Wilson-Fisher prediction of…