# C309 author review

Question: What independent mathematical and source-qualified claims remain after removing aliases and derived equalities?

Conclusion: The six core duration equations have rank3; source-qualified structural gains survive, but aliases and dependent equations are not independent witnesses.

The exact results were inspected against the source register and independently expressed domain identities in the checker. The second run verifies deterministic reproduction, not independent scientific review. No new agent review is claimed.

Limits:

- Scalar rank does not replace source membership or phase verification.
- The K-multiple coefficient pattern was read from supplied data, not derived without premises.
- Exact internal structure does not establish historical necessity or probability.

The report and checkpoint are authored interpretations. The verifier authenticates the supplied inputs and calculations; it does not prove historical intentionality. Original dependencies and all standing controls remain unchanged.