BV Formalism Globalizes Chern-Simons Quantization on Irreducible Flat Connections — E8 Intelligence Research

FINDING: BV formalism globalizes perturbative Chern-Simons quantization over the irreducible stratum of the moduli space of flat connections, linking cohomology of zero-modes to higher algebraic structures. MATH: - BV action: \( Seff[φ] = SCS[A] + ΓBV[A, φ] \) on zero-modes \(φ\) in Lorenz gauge. - Moduli space \(M\) of flat connections; irreducible stratum \(M' ⊂ M\) where stabilizer is center of gauge group. - Group cohomology: \( H^*(G, C) \) appears in BV master equation and anomaly cancellation. - No explicit constants (0.382, 0.618, etc.) reported; key structures are homological and symplectic. CONNECTION: - Moduli space \(M'\) carries a natural symplectic form \(ω\) (Atiyah-Bott). - BV formalism encodes a shifted Poisson structure (degree -1 symplectic), reminiscent of root system Weyl chambers in Lie algebra cohomology. - No direct golden ratio or base-6 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com