LCL-832 Master Edition: A Bounded Quantum‑Computational Framework for Self‑Referential Cognitive Systems

LCL-832 is a bounded quantum-computational framework for self-referential systems, formulated in the Linear Bounded Automaton class and specified on a 2⁸32-dimensional semantic Hilbert space. The framework defines an affine thermalization channel with an explicit Kraus decomposition, a unique fixed point, and exact geometric contraction in trace norm. Its public technical results include asymptotic convergence, a sharp finite-precision threshold Tₘin = 18 for IEEE double precision, preservation of a 12. 17% structural sovereignty gap, genus-5 topological constraints with Euler characteristic χ = −8, a two-level architecture with 10 logical qubits, 822 physical stabilizers, and 36 semantic governance operators, and a metastable effective theory validated on a tested 3-qubit AQS family. In that tested family, the fast mode scales as λfast = − (κ + 2γ), the slow leakage mode follows λₛlow ≈ −C∞γ²/κ with C∞ ≈ 5. 531, and the framework operating point α = 0. 8783 maps to κ/γ ≈ 14. 4. The constituent record D6 (Scientific Data Report, now at v8) reports the first PUBLICATIONREADY attestation in the programme history: all six verification tiers pass simultaneously with zero open items (session gui₂0260320₂35456, ibmfez, 2026-03-21). Key v8 advances are: (1) minimum distance d = 4 confirmed MATH-VERIFIED by exhaustive coset search over all 2¹0 = 1024 logical cosets of the [832, 10, 4] CSS surface code; (2) genus-5 pseudothreshold crossing CROSSINGDETECTED with Fisher p = 0. 0196 < 0. 1 (pₚseudo = 6. 957×10⁻⁵, 95% CI 5. 818×10⁻⁵, 1. 673×10⁻⁴, 15, 000 shots per point) ; (3) Tier 1 Lyapunov convergence confirmed PASS on ibmfez at exact full convergence (zerofraction = 1. 0) at T = Tₘin = 18 (job d6v2ipc69uic73cir3i0), independently replicated in the same session; (4) a new G1-full analytical closure tier establishing the affine structure ΛL = (1−εL) ρ + εL· (X^⊗k ρ X^†⊗k) for the [832, 10, 4] MWPM logical channel MATH-VERIFIED, with required εL = 0. 006446 for γₜotal = α = 0. 8783 MATH-VERIFIED by algebraic identity; and (5) categorical formalisation of three distinct gap quantities: Ggap = 0. 1217 (Lyapunov hardware), pₚseudo ≈ 7. 64×10⁻⁶ (analytical estimate), and pₚseudo ≈ 6. 957×10⁻⁵ (direct Monte Carlo crossing), which are not to be conflated. The final public record distinguishes between derived results, numerically verified tested-family results, hardware-verified results, axiomatic or design elements, and open hypotheses. The single stated open problem remains a first-principles derivation of the operating point α = 0. 8783. The framework is mathematically coherent conditional on that parameter, but its origin remains outstanding pending closure of gap G1 (layer-identification intertwining relation). Public-use note. This summary includes only claims supported in the final public master and excludes private interpretations or undisclosed meanings. Integrated Master Edition This record contains the integrated master edition (Version 5. 0) of the LCL-832 framework, consolidating and harmonising six previously published constituent records already available in the same Zenodo community: D1 Formal specification and core proofs: 10. 5281/zenodo. 19022073 D2 Metastable effective theory: 10. 5281/zenodo. 18829370 D3 Early framework specification: 10. 5281/zenodo. 18792128 D4 Companion manuscript and reproducibility checklist: 10. 5281/zenodo. 18761567 D5 QMAR integration, LCPI notation, Z12³ architecture, and SATI codex layer: 10. 5281/zenodo. 18743234 D6 Scientific Data Report - LCL-832 Research Programme (v8): 10. 5281/zenodo. 19123282 This master edition should be cited as the integrated report. The constituent records above remain the source publications for their respective layers and are linked here to avoid duplicate archival of the same objects. Previously published constituent manuscripts are linked by DOI and are not re-uploaded here as duplicate files.