Nicholas Kouns

E47 Validation Provenance

Canonical repository

Repository: nicholaskouns-create/E47-Kartekeya

Canonical package: src/e47/

Canonical mathematical object

The validated carrier is

\[V_2^{\otimes 3}, \quad \dim V_2 = 5, \quad \dim V_2^{\otimes 3} = 125\]

The canonical kernel is

\[K = (C - 6I)(C - 30I)\]

where $C$ is the total SU(2) Casimir operator.

The selected subspace is

\[E_{47} = \ker K = 5V_2 \oplus 2V_5, \quad \dim E_{47} = 47\]

Canonical implementation chain

The validation authority flows through a strict linear sequence of modules:

1. src/e47/su2_kernel.py — SU(2) operator algebra and kernel construction
2. src/e47/projector.py — Orthogonal projector onto $E_{47}$
3. src/e47/contraction.py — Discrete dephasing channel validation
4. src/e47/semigroup.py — Continuous time evolution $S(t) = \exp(-tK^2)$
5. src/e47/validation_results.py — Aggregated five-layer certificate
6. src/e47/serialization.py — JSON certificate serialization

Validation artifacts

The aggregate certificate is generated by:

python scripts/generate_validation_certificate.py

Output:

artifacts/e47_validation_certificate.json

Reproducibility record

Each generated certificate records:

• Python version
• NumPy version
• SciPy version
• QuTiP version (if available)
• Operating system
• Repository commit SHA
• Certificate generation timestamp (UTC)
• Numerical tolerance settings

The JSON certificate is a derivative artifact. The Python source files and repository commit history remain the canonical implementation authority.

Certificate structure

The JSON certificate contains five frozen dataclass certificates:

{
  "kernel_validation": { ... },
  "projector_validation": { ... },
  "contraction_validation": { ... },
  "semigroup_validation": { ... },
  "qutip_validation": { ... },
  "valid": true
}

Each layer may fail independently. The aggregate "valid" field is true only if all five pass.

Testing and CI

Validation tests are located in tests/test_qutip_validation.py and verify:

• Aggregate certificate generation
• Serialization to JSON
• Canonical invariants (dimension, spectral gap, coherence fraction)
• Fail-fast behavior on validation failure
• List/tuple conversion in serialization

Run tests with:

pytest tests/test_qutip_validation.py -v

Versioning

Commits to src/e47/ trigger a new certificate generation cycle. The commit SHA is recorded in each certificate for complete traceability.

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Last updated: 2026-07-21
Repository: https://github.com/nicholaskouns-create/E47-Kartekeya

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