The Quantum Structure Sub-Programme

The quantum structure sub-programme of the Cosmochrony corpus addresses a single central question: given the complex SU(2) amplitude carrier supplied by the Weil representation V_ρ (O18, O23), what does the admissible SU(2) sector force upon it, without importing a further quantum postulate? Starting from the admissibility constraints of A1–A4 on the binary icosahedral group 2I acting on that supplied carrier, the sub-programme derives: preservation of the carrier's phase coherence (Q1); conditional on that preserved coherence, the singlet correlator E(â,b̂) = -â̂ (Q1, Q3); the Tsirelson bound |SCHSH| ≤ 2√2 (Q1); the Born rule in the SU(2) sector (Q1, Q3); the identification of SU(2) as the unique stable fixed point of the admissibility flow (Q2); the universal spin-j generalisation of all the above for all five admissible sectors j ∈ \1/2, 1, 3/2, 2, 5/2\ of 2I (Q3); and the structural non-applicability of Bell factorizability in non-injective frameworks (Bell paper). All these results are proved within the SU(2) sector and are conditional on the supplied complex carrier, whose own complex scalar structure this sub-programme does not derive from A1–A4. Extension to arbitrary observables, multipartite systems, and continuous spectra remains the primary open deliverable.