Paper LX: The Hierarchy of Offsets: Five Levels of the MSDS Vacuum Coupling Ladder

Paper LX maps the geometric coupling hierarchy (v^2)^n underlying the MSDS framework. We demonstrate that distinct cosmological observables—from gravitational slip \eta(z) at Level 1 to cosmic birefringence \beta at Level 2.5—are manifestations of a single vacuum coupling at different powers. The paper introduces the "Inter-Level Kill Condition" (v^{1.5} = 2.22 \times 10^{-6}), a parameter-free ratio test between \Delta\eta (Euclid) and \beta (LiteBIRD). A reproducible Python module is included to verify all levels of the ladder, from torsion stutter to the predicted fine-structure variation \delta\alpha/\alpha \sim 10^{-12} at Level 3.