# C322 — Whole Noah/Shem biography and joint support: source review

24 September 2026. Separate source/method review of C322 only. No C323 research is performed.

## Critical correction to the proposed failure hypothesis

The frozen C286 register does **not** assign a502-year Noah→Shem birth gap to same-Gear MT records. In the held CainanON/Terah60/full430 state it has:

| Gear | Noah birth/death | Shem birth/death | Flood start |
| --- | --- | --- | ---: |
|G1|3246 /2296|2746 /2146|2646|
|G2|3248 /2298|2748 /2148|2648|
|G3|3250 /2300|2750 /2150|2650|

Each same-Gear biography therefore retains the Noah-bound500 relation. The502 relation belongs to a different named binding, such as G2 Noah3248 with G1 Shem2746. It must not be substituted for the same-Gear data in order to manufacture failure of the proposed−460 comparison.

This is supported directly by File_18, not merely a register convention. §1.3.5 (lines760–771) retains two valid modal states: Noah-bound/Flood-bound Shem100 at the Flood, arising from Noah500→600; and Arphaxad-bound/text-bound Shem100 at Arphaxad's birth two years after the Flood. Neither state corrects the other. The MT Minimum tables display Noah2843 and Shem2341; §2.2.1 additionally retains Shem2343 as the alternate Noah-bound station. In the held comparison context these are Noah3248 and Shem2746 or2748 respectively. The latter pair is an existing source-permitted500 binding, not a fitted new Shem date.

## What a successful whole-biography comparison would mean

The three C321 primary Noah/Flood rectangles can be tested against the entire already admitted same-Gear Noah-bound MT biography. The other endpoint targets must be drawn directly from C286 with their existing Gear, roles and context. Uniform translation preserves950,600,500 and the internal chronology only if each target is source-admitted; the finite verifier should state that check rather than assume it from the Noah/Flood result.

A successful same-Gear match is a **state-qualified whole-biography correspondence**. It is not a uniform map of every independently selected MT textual binding. In particular, it does not convert the source's literal-table502 birth relation to500 or eliminate the Arphaxad-bound alternative. The report should make this limit explicit even if all three same-Gear comparisons pass.

SP Noah's primary death retains its inclusive/harmonic qualification; the MT target retains its own source status. Equal coordinate lengths do not homogenize these counting qualifications. SP companions remain excluded from complete MT transport because no MT person-companion record exists. Flood start and close remain separate event roles with rail=null.

## Joint support table

The joint table should distinguish directOFF600 source admission, nativeON600 admission, the reversedSP500 construction, C287 support at i, and C287 support at j=10−i. These are predicates about overlapping configurations, not proof that one uniform operation carries every source role through all of them.

A row satisfying every chosen predicate is a conditional intersection of previously defined domains. It is not an independently mandated preferred chronology. Inclusion of C287 support on both i and j is an additional analytical requirement; the ordinary source biography itself does not require it. Likewise, requiring the reversed500 path excludes a valid SP G1-companion biography because its selectorj8 is unavailable, not because its500 source relation is false.

Keep the numerical-coordinate count separate from tradition-labelled aliases and phase-component counts. The table consolidates prior evidence; its intersections are not additional independent witnesses. If a unique central row survives, say exactly which optional criteria generated that uniqueness.

## Direction for C323 synthesis

The final synthesis should distinguish: (1) source-admitted biographies and exact translations; (2) the local reversed index/phase relation; (3) the further coupled choices needed for the all-K subdivision; and (4) the unresolved source-prescribed selector. It should explicitly preserve the MT Noah-bound500 versus textual502 distinction discovered in this diagnostic. No further numerical search is needed merely to write that synthesis.