The Complex Chern-Simons Level of STKWC: A Zero-Parameter Derivation from the Surgery-Spectral Intersection on the SL(2,C) Character Variety of 4_1

Version 2.0. Major upgrade: RevTeX4-2 (APS) format. Published on the birthday of Stefan Banach (30 March 1892), whose fixed-point theorem underlies the convergence structure of this work.We derive, with zero free parameters, the complete surgery-spectral triad for (5,2)-Dehn surgery on the figure-eight knot 4_1 within Scalar-Tensor Knot-Web Cosmology (STKWC).Three hard numbers from one intersection on the SL(2,C) character variety:(1) Period integral: Π_+(1) = 2π²/15, computed on the real oval of the A-polynomial.(2) Topological displacement: Δ_top = 3/20, proved in the companion paper (DOI: 10.5281/zenodo.18894178).(3) Critical amplitude: ε_* = cos(π/5) = φ/2 (golden ratio over two), emerging as the eigenvalue projection of the (5,2)-surgery Dehn twist.The three quantities are bonded by surgical quadratic reciprocity: Δ_top = (q')² × Δ_local, where q' = 2⁻¹ mod 5 = 3 and Δ_local = Π_+/(8π²) = 1/60. The square of the modular inverse closes the loop: 3² × 1/60 = 3/20. No 4D bulk metric enters at any stage.Applied to LIGO candidate S251112cm: the gravitational chirp is interpreted as A-polynomial anharmonicity approaching the discriminant locus. A falsifiable prediction — a pre-merger frequency plateau — is identified.Changelog v1.0 → v2.0: RevTeX4-2 format (APS PRD style, two-column reprint). Added references to Volume Fibrations paper (DOI: 10.5281/zenodo.19193955) and Document A v3 (DOI: 10.5281/zenodo.19163002). Removed non-academic affiliation from author footnote. Streamlined acknowledgments.Document D v2.0. Eighth preprint in the STKWC series.