The Riemann Hypothesis from Zero-Orbit Source Closure and Rank-Area Exclusion

This paper reformulates a strict first-order terminal-closure criterion for the Riemann Hypothesis as a source-closure problem in Coherence Geometry. The analytic endpoint construction is imported from an earlier matrix-valued completed-explicit-formula terminal-closure criterion. That construction attaches a two-state transfer test to an off-critical functional-equation orbit and supplies a forced transfer ledger, an operator-norm compact-limit terminal representative, and a distinguished rank-area obstruction. The present paper isolates the Coherence Geometry source mechanism responsible for terminal closure. The ordinary zero-orbit source is treated as a strict first-order source whose primitive terminal labels are ordinary zero-orbit labels with finite endpoint fibre data. Endpoint completion may display additional Gram or Pauli accountability data, but it does not create primitive source labels. The distinguished rank-area is classified as second-order exterior terminal data. Since the ordinary first-order zero-orbit source supplies no primitive exterior-square source labels, nonzero rank-area is an unsourced second-order terminal shadow relative to that source category. Strict first-order source closure therefore forces rank-area to vanish. The resulting projective collapse of the distinguished terminal Gram pair gives the critical-line condition. The document should be read as a Coherence Geometry source-closure reformulation of the earlier Riemann terminal-closure criterion. It uses the earlier analytic endpoint construction as an input and focuses on the source-admissibility classification of the rank-area obstruction. Internal Reference ID: CGI-RSR-000033