Global Confinement Mechanism

This component establishes the coercive mechanism that converts local scale-inconsistency detection into a global exclusion principle. Building on the two-scale residual framework of the 001 Rigidity Program, it introduces a non-vanishing rigidity floor that prevents off-critical-line singularities from being smoothed, localized, or canceled by averaging. The analysis demonstrates that any zero of the Riemann \xi-function displaced from the critical line generates a persistent positive-area footprint of scale-inconsistency. Through the rigidity floor, this footprint contributes an irreducible geometric “debt” to the global rigidity budget. Because this debt accumulates monotonically with height while the admissible budget is constrained by the growth dictated by the functional equation and zero density, the presence of even a single off-line zero forces an eventual instability. This mechanism reframes the Riemann Hypothesis as a confinement theorem: the critical line emerges as the unique neutral manifold capable of hosting logarithmic singularities without violating the global stability of the potential field. The component provides the logical bridge between local detection (Footprint Lemma)