TQNT-V5.7 — Consolidated monograph: V5.5 → V5.14 cascade (Einstein/GW/Kerr/FLRW/CMB/inflation from SU(2)_135)

TQNT-V5.7 v1.3 is the consolidated monograph covering the entire V5.5 → V5.14 cascade in 23 pages. It collects 14 validated results at the <3% level and 1 explicitly falsified scenario (V5.13 topological inflation), with V5.14 R² correction restoring consistency with Planck/BICEP-Keck. The cascade structure is: SU(2)_135 Chern-Simons → V5 conformal metric → emergent Einstein equations (V5.8) → gravitational waves (V5.9) → Kerr-V5 sector (V5.10a/b) → FLRW cosmology (V5.11) → CMB perturbations (V5.12) → topological inflation falsified (V5.13) → R² Starobinsky correction (V5.14). All results inherit κ_g from V5.7 (0.05%), so the gravitational and cosmological sectors carry no additional free parameter. Supersedes V5.7 v1.2 (10.5281/zenodo.20652660) and complements the V5 monograph (10.5281/zenodo.19131538).