Declarations

of the manuscript. A completed relative interface and separation analysis with an unresolved sharp causal-product release.

boundary. IX-Free, IX-Free-2, and the earlier IX-D source are supplied. IX-C and the companion carrier, analytical, obstruction, and switch results are used only through the explicit inherited statements. Their complete proofs are not independently certified here.

boundary. Inherited fixed-support test-family continuity is retained. No new actual-stage continuity or quantum hypocontinuity is asserted.

constructions. No Einstein equation, backreaction, time-ordered extension, sharp retarded realization, BRST complex, interacting field, conical identification, token acquisition, or all-graph catalogue is constructed. No old product is repaired by subtracting ${u_{\mu }}^{\rho }$.

boundary. A constructed partial free sector has replaced the old free stop. It has not been relabelled as a causal product, and it does not open G2.