The Carrier–Extractor Separation Theorem for the SCT Critical Sector

Research Note 12 in the Geometry of the Critical Line programme. Synthesizes results from Papers 38–40 and Research Notes 9–11 into a single separation theorem: the SCT critical sector carries a spectrally locked Archimedean carrier (isolated, shaped, spectrally excluded, logarithmically dense) from which native extraction is obstructed by six proved Hecke-type kills. The abstract KMS recursion survives only in an enlarged algebra. The SCT–Connes dictionary is the structurally indicated resolution.