The Carrier–Extractor Separation Theorem for the SCT Critical Sector
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Operator Algebra Research
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 26 March 2026
- Language
- EN
- Document type
- Preprint