# C323 — Source/method synthesis review 24 September 2026. Independent source/method review of completed C314–C322 for C323 synthesis. No C324 research or new endpoint calculation. ## Overall assessment The completed reports support a substantive but bounded result: the admitted529 comparisons can be expressed as explicit source-qualified rectangles, with a finite reversed index/phase relation and a partial relation between source contexts. The evidence does not support an unrestricted chronology isomorphism, a new global Mirror axis, or a source-prescribed selector for the combined all-K construction. The latest C322 result is correctly qualified. All three primary same-Gear **Noah-bound** SP biographies correspond uniformly by−460 to restored MT CainanON/Terah60/full430 biographies. Noah950, Shem600 and the500/100 binding survive, with the source qualifications retained. The textual/Arphaxad-bound MT502/98 configuration is a different valid binding. It neither refutes the successful same-Gear state nor gets erased by it. C322 records the rejected initial502 assumption and the actual-source correction appropriately. ## Domains that must remain separate - C314: five reversed500 pairings, j3…7 and i7…3; ten components. Exact correspondence requires opposite cumulative phase ancestry. The local involution is closed on that selected field, not on the full eight-index field. - C320: six coordinate OFF600 rectangles, i2…7, carrying nine tradition-labelled complete pairs: six SP and three co-located LXXOFF. Labels and phase components are not independent historical witnesses. - C321/C322: three nativeON600/MT counterpart rectangles and three full primary Noah-bound biography correspondences, i3/5/7. The companion Flood closes can be individually admitted while complete MT companion biographies fail. - C287 retained domain: i2…5. C317–C319's three all-K successes are its i3…5 subset, not a new exhaustive count replacing four. - C322: i3 and5 satisfy OFF600, ON600, reversedSP500 and C287 support at i. Requiring C287 also at the reversed j is an extra analytical criterion and leaves i=j5 alone. This conditional center uniqueness is not intrinsic source preference. No synthesis sentence should collapse these into one unqualified count of successful chronologies. ## Preserved failures and source ancestry C315's common-ancestor n−r=598 under fixed8993 and8395 is unchanged; it does not become the same-biography600 by reversing phases or using an admitted wrong-Gear alias. C316's alternate antecedent h=i−2 succeeds by changing the cumulative station, explicitly retaining that difference. C271's Flood endpoint ancestry is cumulative LXX_OFF Shem_i through a derived8993 comparison, with its local translation5888/reflection intermediate retained. The alternate Flood_h/8395 route shares coordinates, not source identity. C313's same-cumulative-phase500 failure likewise remains: C314 succeeds only after the declared index and phase reversal. Flood close is an event boundary. SP primary/companion is a person-station distinction local to Noah/Shem. No MT or LXX companion, G4, additional annual member, fixed-Arphaxad motion, or broader Gear scope has been created. ## What the algebra establishes The600 rectangles' edge relations are dependent once equal600 sides and the translation are fixed. The paired458 substitution has source-permitted ingredients, with different cumulative and regular mechanisms. Source passage review did not locate a prescription for their exact coupling. C319 shows why the distinction matters: both00 and22 preserve the equal17K transport. Only22 realizes the integralK subdivision within the specified four-choice sensitivity domain. That is conditional uniqueness under the chosen all-K criterion, not independent warrant for choosing that criterion. Repeated annual rows, derivative equations and phase verification counts should be identified as checks, not new witnesses. The C290 expansion obstruction is inherited and unchanged. The batch did not reopen primers, rerun the AD1905–1911 proposal, revise canonical files, or change the global JanuaryAD1 Mirror. ## Guidance for the final synthesis Lead with the positive full-biography result and the exact mechanism that connects it to the529 rectangles. Then state the two essential qualifications: selected source modes and explicit ancestry/selection changes. A compact domain table can consolidate coverage; a limitation ledger should preserve the unresolved selector and failed stronger claims. Avoid describing the result as a single source chronology or a proved ancient compositional design. A prospective next question may examine whether a pre-existing source priority independently chooses the now-explicit coupled states; it must be proposed only. The present batch is sufficiently complete to stop new calculations at C323. Draft review status: completed reports C314–C322 reviewed; final C323 draft not yet supplied at the time of this note. The note may receive a final-draft addendum before certification. ## Final-draft addendum Reviewed `axis_ledger_work/batch_C314_C323/C323_SYNTHESIS_BODY.md` after receiving the completed draft. The draft accurately incorporates the full primary Noah-bound460 correspondence, retains the alternative textual502 binding, keeps source versus alias counts separate, preserves SP companion locality and finite boundaries, and does not repair the earlier same-ancestry failures by relabelling them. The rank/dependency discussion and conditional i5 uniqueness are appropriately qualified. No blocking source or method amendment is needed. One optional wording refinement: “three co-located LXX primary labels” can be written “three co-located LXX Gear-labelled Noah/Flood pairs,” since the LXX records have rail=null. The existing surrounding text already prevents the erroneous inference of an LXX companion, so this is a precision improvement rather than a substantive correction. The proposed unexecuted C324 source audit is reasonable if narrowly framed: does an already documented rule connect the **typed460 SP→MT context correspondence** to25/23 and the Noah-bound500 interval with named endpoints and dependencies? The scalar460×25/23=500 alone cannot supply that rule. A460 translation between corresponding context states and a500 duration within a biography are different relations. C324 should test for an explicit bridge between them and preserve bounded absence if none is located; it should not repeat C290's already established global/phase dilation obstruction or fit new anchors. Final review status: stable and ready for C323 certification. No C324 research has been performed.