P02 final source transfer review

Date: 2026-09-08. Reviewer: root AI agent.

Internal mathematical transfer: PASS. I read the entire revised source and independently checked the classification, local exponent inequality, critical-level sharpness, and recurrence observability/CRT argument. The proof did not acquire a new gap in transfer. This is an AI review, not external peer review or a formal certificate.

The all-primes eigenvalue lemma correctly uses the decomposition/inertia quotient, including ramified primes. The minimal-polynomial stability minor gives the needed almost-all-primes necessity; Chebotarev is invoked only after excluding bad primes. In the local theorem, the exponent identity is valid at s=1 and at r=r0+1, and the r0=0 case is covered. Nonvanishing in Jordan form implies nonvanishing in the original reduced matrix. The recurrence theorem has the correct xF indexing, and its cyclic first-row argument supplies an observed scalar witness, not merely a nonzero matrix entry. Coordinatewise CRT attains the full uniform multiplier in one initialization.

I also checked every retained consequence: the cubic factor-12 example and its explicit differences, the constant-term indexing example, the universal exponent construction using a cyclic degree-f field, both discriminant-zero and nonzero Lucas cases, and the quadratic lifting remark. No invertibility, nondegeneracy, sign, or initial-index assumption was silently introduced. The scalar, uniform, and entrywise quantifiers remain distinct.

The source comparison in P02-source-audit.md credits Luca–Ward's sufficient Galois exponent method, distinguishes Minton's scalar trace theorem, and compares Rajs's actual formal statement. The printed-indexing correction is supported by a direct counterexample and is not treated as the main contribution. No exhaustive novelty claim is justified. The original Minton PDF access limitation is recorded in the source audit.

Exact source SHA-256: 23937aeace58616f78c1cda05e3d79ce70e684a8e95bfe198e901d9db955ca7f.

PDF SHA-256 at review: 21995c4f5bb4add533f4fdbb454a9a95322361f45413f283b9080fbc0a4bf4bb.

All PDF pages were visually inspected in rendered contact sheets; no layout defect was observed. Matching Markdown preserves all source math and text in the converter’s semantic round-trip checks. These artifact checks do not establish mathematical novelty.