Topological Dark Matter Production from Rotating Black Holes: A Unified Chern-Simons-Kodama Framework with Perturbative Derivation and Observational Tests

We present a unified framework for dark matter (DM) production by rotating black holes via the Chern-Simons-Kodama (CSK) topological mechanism. A neutral scalar boson X couples to the gravitational Pontryagin density PKerr = 96Ma cosθ r (r²-3a²cos²θ) (3r²-a²cos²θ) /Σ⁶ via Lᵢnt = (αX/f²) X² PKerr. We derive PKerr explicitly from the Kerr metric in Boyer-Lindquist coordinates and prove its exact north-south antisymmetry, which forces the first-order production integral to vanish identically. The WKB pair-production rate Γ = αX²/ (16πf⁴) P²Kerr is therefore the lowest non-vanishing order, making K = αX²/ (16πf⁴) explicit. The total rate N-dot = K J (a/M), with J (a/M) ∝ (a/M) ³. 42, is mass-independent; the slow-rotation limit J → 6π (a/M) ³ is derived analytically (exponent n=3 exact). For a PBH population with mean a/M=0. 9: ΩDM = e/10 = 0. 2718, consistent with Planck 2018. Three LMXB systems obey |dP/dt| = 6. 17 J⁰. 65 ms/yr (R²=0. 992). The exponent α=0. 648±0. 116 is not a free parameter but is imposed by the parameter-free ratio test log (34. 5) /log (236), which falsifies α=1 at 9. 2 sigma. The isotropic spike model predicts 236x but observes 34. 5x; the physical mechanism reducing α below 1 is identified as CSK jet anisotropy. Second-generation high-spin black holes (Antonini, Romero-Shaw et al. 2026) are 35x more efficient CSK sources than first-generation systems. Juodzbalis et al. 2026 confirms black-hole-before-stars at z=6. 5 (Abell2744-QSO1, MBH=5×10⁷ Mₛun), consistent with the CSK temporal sequence. Falsifiable prediction: |dP/dt| (MAXI J1820+070) ∈ 28, 55 ms/yr; α=1 predicts 345 ms/yr. Companion paper (Biverso framework): DOI 10. 5281/zenodo. 20432299