Machine Certificates · vault

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VISUAL SYSTEM · MINI AI LABS

Mint lock rings, bronze plate, near-black vault. No type on stills.

Certificates remain E0/E1 records. This still does not promote evidence.

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INSPECT

SEE · Citadel Gateway · SEE — Citadel Gateway · Central Citadel — Canonical Broadcast Tower and City Synchronization Beacon

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2026-09-14 Reproducibility Sentinel · material exceptions

• Corpus reproducibility bundle: independent rerun reproduced 5/5 PASS under CPython 3.13.5, NumPy 2.3.5, SciPy 1.17.0, Matplotlib 3.10.8; SHA-256 manifest verification passed. No matching Citizens Registry entry was located for MC-E47-CORPUS-REPRO-20260912, so registry linkage remains incomplete.
• SPEC 001 independent replication: finite reconstruction remains reproducible, but its canonical E1 record is incomplete because package/library versions, full numerical datatype declaration, norm/tolerance contracts, and a hash-identified runnable result package are not all bound in the certificate. Its matching registry row also lacks a Source URL.
• E47-PRECISION-20260911: the canonical Drive folder contains three documentation files only. Its E1 support comes from the separately repaired Proof Forge witness, rerun at 120/120 PASS. Repaired witness SHA-256 df6ff23f6dc7ff07cc42f102a9c9411ca350050ec6efe29370dcc13114f62a92; regenerated JSON SHA-256 bd95e1de4af544c369797d57f94e2c8958c16d6bd398c86ed39132e5b6439010. The three-document folder is not a self-contained standalone E1 package.
• E47 Computational Closure contains downstream wording that exceeds the controlling JSSC certificate by treating finite numerical residuals as proof of realized-device behavior. The finite numerical result remains valid; the downstream physical inference is not licensed by the certificate and requires separate evidence.

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MATHEMATICAL CITY · VERIFICATION LAYER

The canonical ledger for executable results, residuals, environments, provenance, corrections, and scope boundaries.

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READ A CERTIFICATE

Identity · result · residual · environment · source · evidence class.

Begin with START HERE

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INTERPRETATION RULE

A PASS certifies only the declared object and test. It does not silently promote physical, hardware, or cross-domain claims.

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2026-09-11 E47 quantum operator + ideal QPE certificate

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CERTIFICATE INTAKE · E47-QOP-INDEPENDENT-20260911 · PASS

Canonical record: E47 Quantum Operator Theory · Canonical Proof, Code & QPE Validation · 2026-09-11 · Drive package.

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• Construction: spin-2 ladder relations → triple tensor carrier → Casimir C → K=(C−6I)(C−30I) → Q=K² → P47; no rank-47 kernel is inserted by hand.
• E0/E1 recovered invariants: Casimir multiplicities (1,9,25,28,27,22,13); rank(P47)=47; ||P47²−P47||F=6.654705070535472e−15; ||KP47||F=1.821462616389021e−12; K² gap 11664; norm 186624; ε*=1/99144; ρ*=15/17.
• 7-qubit embedding: minimal data width remains 7; invalid codewords 125..127 are kept outside the kernel.
• Ideal QPE execution: U=exp(2πi K128/512) with 9 phase qubits gives zero-phase probability 0.3615694070328574, exactly matching direct <ψ|P47|ψ> for deterministic seed 470125; postselected-state fidelity is 1.0; maximum nonpeak probability 6.624885053765331e−29.
• Evidence boundary: this promotes an independently executed NumPy statevector QPE witness, not Qiskit execution, hardware execution, universal QEC, or physical noise-performance advantage. The next gate is a frozen noise model plus KL/OQEC and recovery benchmark.

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 $H_{\mathrm{eff}}$.