What was already known
The source cites general representation-theoretic context and an earlier scalar-centroid criterion, but does not establish priority for this fixed generator theorem. Alexander’s earlier physical program motivates the operators.
AI involvement
Stephanie Alexander selected and directed the theorem. The disclosure credits Codex agents with the generation proof, integral commutator certificate and audits.
Agents constructed the retained geometric generation proof under Alexander's direction; independent AI origin of the chosen operators is not documented.
Importance
Proves generation and rigidity for one specified operator system.
Limitations
The theorem assigns no physical response magnitude. No human specialist proof check or exhaustive novelty assessment is documented.
Technical verification
The cited record reports a sorry-free Lean 4.31.0 proof of the fixed generation-and-rigidity statement with only standard axioms and Comparator statement alignment. This is a source-reported machine check of the mathematical theorem, not of physical calibration; it was not rerun here.
Independent checking
Kernel checking of the sorry-free theorem, standard-axiom audit and challenge/solution comparison
- Checker
- Lean kernel and Comparator in Alexander's pinned repository
- Scope
- HorizonEinsteinClosure.geometricHodgeGeneration for the fixed Hodge and orthogonal actions, including dimension and scalar response rigidity
- Basis
- Reported by the linked checker
Human understanding
Default for missing evidence of independent human explanation: the exposition describes the mechanism, but the disclosure attributes its construction and audits to agents and documents no human mathematical review.
Correction and publication history
Proves generation and rigidity for one specified operator system.
Read this published revision