# Independent review — C552–C563

**Result: PASS. No numerical or source-state correction required.** Reviewed by the File61/62 source-preparation agent, independently of the parent agent's step implementation. This is a review of twelve completed analytical steps, not twelve new research steps.

## Verification performed

All twelve scripts were replayed after replacing `research.begin` and `research.finish` with non-writing capture functions. Each script's declared inputs, sources, results, finding, reassessment, and checks matched its existing journal record. The review did not call the mutating journal methods or edit the journal.

Beyond the prepared JSON, the reviewer parsed the literal File62 §§1.2–1.3 tables and matched all **42 coordinate cells**, then parsed File62 §5.2 and matched all **12 Joseph intervals**. Thus the two main coverage claims were checked against actual source tables, not merely against the preparation script's generated values. File61 §§6–7,11–12,14 and File62 §§1,5–6 supply the controlling descriptions.

An independently expressed rotation function was composed three times for all nine comparison triples; each returned to its starting triple and had three distinct rotations. The flank formula was also derived from the fixed regular Joseph birth1915 and the moving forward/backward source heads, instead of merely rechecking the prepared formula.

## Findings

| Steps | Assessment |
|---|---|
| C552–C555 | All six rails follow from `C0+p−d`; invariant lifespan sequence and parent-only outputs are correct. The three maximum envelopes are correctly reduced to one compression with removed prefixes43 and94. The finite chain is correctly distinguished from a globally closed translation group. |
| C556–C559 | Fixed-offset collateral construction correctly generates twelve intervals and preserves `27|83|27`. The nine fixed-Joseph comparisons are correct. The `C3` action applies to ordered duration components; it does not prove a permutation of persons or historical chronology states. |
| C560–C563 | Whole-year `p=3` and exact-phase `p=3.5` states remain distinct. The430/460 pair uses its source-declared mixed states; diagnostic457/460.5 values are correct. Joshua's70 translation and fixed-endpoint230→216 contraction are correct. Both Adam-square rows are correctly recognized as one shape translated30, and the half-year mismatch is retained. |

## Claim boundaries to retain in synthesis

1. **42 cells, twelve intervals, nine states, and27 rotated displays measure reconstruction coverage.** They are not independent evidential successes. The source's three envelope heads likewise share one compression.
2. File62 explicitly prints the original/half/full flank transfer and full-clutch cycles. The formula extending cyclic component rotations to all nine states is a correct derived compression; do not describe all27 displays as separately printed source claims.
3. `H7∘H7=T14` is valid on the admitted original-to-full chain. A third application is mathematically possible but outside the declared research domain. This supports a scoped partial action, not an unrestricted chronology operator.
4. The exact crossed component triple `30.5|79.5|30.5` follows from the exact source endpoints; File61 §12.3 directly prints the outer diagonals140.5/133.5. Keep the derived/source-printed distinction when presenting the result.
5. Neither Joseph collateral intervals nor derived1519/1512 interfaces alter regular biographies or fixed Moses/Joshua event anchors. No primer, upstream Gear, SKL, or second decimal inversion was opened.

The C559 `third_power_identity` assertion is only a display-level identity in the original script. The review supplied the stronger explicit repeated-rotation check above, so this is a verification-depth note rather than a remaining defect.