Transport Observables and Zero-Minimizer Exclusion on the Relevant Coincidence Core

This monograph develops a structural framework for defect geometry, beginning with nilpotent defect cores and proceeding through carrier geometry, sheaf-theoretic globalization, stratified correction theory, microlocal defect geometry, and defect-face bridge analysis. The theory is organized in three stages: local defect algebra, global defect geometry, and microlocal defects. At the bridge level, the manuscript proves Route A completely, determines the structural boundary of Route B in the actual three-dimensional prototype, and establishes an exact collar-local model in which the bridge tasks P1-P4 are fully closed. For arbitrary target geometric models beyond that exact model, the remaining analytic frontier is isolated explicitly.