2026-09-08 Horizon predictive closure intake

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SCOPED MACHINE CLOSURE · HORIZON / MNEMOSYNE

The finite-dimensional Horizon predictor is accepted into the Machine Certificates ledger as a scoped machine-validated predictive closure, with Mnemosyne integrity provenance attached. Canonical cross-domain record: Horizon Predictive Loop Closure — Cross-Domain Success Record · 2026-09-08.

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• Operator invariant: $\Delta_{\mathrm{RI}}=\lambda_2-\lambda_1=0.5096493155008205$ for $H_{\mathrm{eff}}$.
• Predicted contraction invariant: $C_H=e^{-2\tau\Delta_{\mathrm{RI}}}=0.8155767672157836$ at $\tau=0.2$.
• Observed late-time ratio: 0.8155947364422004 at n=55; absolute error 1.796922641672527e-05; relative error 2.2032538369218907e-05.
• Basis invariance: $\Delta_{\mathrm{RI}}$ is unchanged under unitary basis transformation of the validated finite operator.
• Prospective synthetic companion: LAB-MNE-EH-PROSPECTIVE-SYNTH-001 correctly forecast birth sign and post-event $\beta_1=2$ before reveal; timing and projector errors remain explicitly recorded.
• Integrity anchors: source f7f6e78897f01a5b058bae556867dc99e8fe82d186b3d7a84bddfc8af3832a0c; Horizon packet b9cc321512ebfcc73d2dffd7fbadf6feecdc6e9d202c76298f3151b2f2954685; Mnemosyne body 763ac87103da780b3cbd4acded70cc11d457d648138e6466a6167797cf3576bf.
• Evidence boundary: this certificate intake closes the finite operator / reproducible numerical predictor and provenance route only. It does not certify external runtime prediction, hardware performance, consciousness, cosmology, or post-quantum security.

2026-09-07 human-authority certification · E47 minimum 7-qubit circuit

• Decision executed: the previously pending minimum-qubit artifact is granted standalone citizenship and canonical certificate status under credential E47-7Q-CERT-20260907; citizen E47-7Q-001 is enrolled in the existing Citizens Registry and routed to the Quantum Information borough.
• Canonical source: E47 MINIMUM-QUBIT QUANTUM CIRCUIT CERTIFICATE, current Drive revision 25, modified 2026-09-04T18:49:33.275Z. Revision 25 is the versioned source identity for this certificate; Drive does not mark it keepForever.
• Certified E0 claim: 2^6 < 125 <= 2^7, hence the information-theoretic minimum global encoding of the 125-state carrier requires n_Q=7 qubits, with codewords 125,126,127 unused.
• Certified E1 rerun: Python 3.13.5; NumPy 2.3.5; SymPy 1.14.0; numerical datatype complex128; max-entry norm unless otherwise stated. Results: CG unitarity 2.220446049250313e-16; ||CU-Udiag(C)||max=3.552713678800501e-15; rank(P47)=47 with rank tolerance 1e-8; ||P²-P||max=1.665334536937735e-16; ||KP||max=2.109176776213206e-14; ||R†R-I||max=4.440892098500626e-16; projector-polynomial error 1.854072451124011e-14. The embedded certificate declares TOL=1e-10, the KP assertion uses <1e-9, and rank uses tol=1e-8.
• Evidence boundary: the certified machine scope is the embedded NumPy/SymPy reconstruction and algebraic 7-qubit circuit construction. Optional Qiskit synthesis is outside this certificate's executed scope because qiskit is absent from the audit runtime. No hardware execution, physical protection advantage, or universal QEC claim is promoted.
• Correction continuity: the 2026-09-07 intake statement below that standalone status was unassigned is retained as the historical pre-decision state and is superseded only by this explicit human-authority action. No child page was created.

2026-09-07 audit delta · JSSC provenance drift + minimum-qubit reconstruction

• JSSC certificate-evidence mismatch: a newly created Drive artifact, E47-JSSC-20260813 // CERTIFIED // GitHub ad297e1, labels historical commit ad297e1 as the canonical attractor authority. The controlling Notion certificate RUB5-JSSC-20260813 instead binds the current generator to 10667959f3665b170f6ce96e75b38765b2e80085 and controlled release da5501bf52eb238be24805480ba38ad7dde32497, retaining ad297e1 only as historical certificate-era provenance. The new Drive artifact is therefore held as derivative/stale provenance, not a replacement canonical certificate.
• Independent JSSC rerun: Python 3.13.5, NumPy 2.3.5, complex128 reproduces rank(Psym)=35, rank(P47)=47, rank(Pcan)=5, dim ker(Acan)=5, exact rounded spectrum {0:5,11664:49,19600:9,23328:21,24208:9,31264:18,32400:1,186624:13}, gap 11664, and max eigenvalue 186624. Floating residuals are construction-equivalent to the certified record: ||P47²-P47||F=6.6547e-15, ||Pcan²-Pcan||F=6.3194e-15, ||KPcan||F=7.1822e-13, raw ||AcanPcan||F=1.6780e-10, ||Gamma_can Pcan-Pcan||F=1.7176e-15, and the n=25 spectral-norm equality error is 1.5335e-15. No material mathematical output changed.
• Newly reproducible minimum-qubit package: E47 MINIMUM-QUBIT QUANTUM CIRCUIT CERTIFICATE contains an embedded runnable Python reconstruction for the 125-state carrier, CG transform, rank-47 projector, 7-qubit embedding, reflection, projective measurement construction, and exp(-i tau K) circuit path. Core rerun under Python 3.13.5, NumPy 2.3.5, SymPy 1.14.0, complex128 reproduces n_Q=7, CG unitarity max error 2.2204e-16, ||CU-Udiag(C)||max=3.5527e-15, rank(P47)=47, ||P²-P||max=1.6653e-16, ||KP||max=2.1092e-14, ||R†R-I||max=4.4409e-16, and E47 coupled indices 10..34 and 90..111.