Independent source/arithmetic review — C642–C650
Result: PASS. No arithmetic or source-role correction required. This review covers the nine current-cycle steps C642–C650. No old cycle was replayed, no scripts were written or changed, and no journal write method was called.
The reviewer read the current scripts and journal records, checked File70 §§2.3,3.2,4.2,5.1,5.5,6.1–6.6 and Appendix D.1–D.5, then recomputed the principal results independently using exact rational arithmetic. Literal source blocks were checked directly in the controlling File70, rather than relying solely on the preparation JSON.
Arithmetic and scope findings
| Steps | Finding |
|---|---|
| C642–C643 | The standard corresponding vector is2236 and its four comparison spans are2210/2222/2236/2250. The three calendar counts are nonintegral. Independently,2366 satisfies the congruences modulo180/168/182 with offsets26/14/0, and their least common multiple is32760. Therefore the correction class is130+32760q and130 is its least nonnegative member. This remains conditional on the fixed standard vector, selected offsets, and all three calendar conditions. |
| C644–C646 | Source close3257 divides4237→1885 into980+1372, with ratio5:7 and primitive unit196. Replacing it by source head3264 gives973+1379: a−7/+7 transfer at fixed total2352. The complete two-by-two rail matrix is980/987/973/980, generated from translation980 and rail width7. |
| C647 | The14/140/980 layers have equal-half forms at scales1/10/70. The result does not assign a historical event to the midpoint of the980 body. Their equivalent factorizations remain one scale family. |
| C648–C649 | Both five-node Creation lists are literal source inputs and differ uniformly by130. Independently fitting the unique affine map from the first and last supplied Creation/Terah positions gives slope10 and intercept−38914; checking the three interior positions then reproduces2236/2226/2166 exactly. The common normalized vector is(7,1,0,−6,−7), with gap refinement6 |
| C650 | All five literal triples normalize to(1,0,−1). Selecting positions0,2,4 of the five-node vector gives the coarse Creation/Terah rail. The source supplies Jacob and Joseph at the coarse level here; their equality of outer shape does not supply the missing interior events. |
Source-role qualifications to retain
- Enoch head and close are distinct. File70 Appendix D.1 prints3264→3257. D.2 specifically uses3257 as the ascension/close comparison and explicitly retains its secondary status. Neither node is promoted to a new primary historical Enoch date. The review found no new Gear action on Enoch or Creation; the calculations compare already supplied coordinates.
- The five-node map preserves structural positions, not biographies or persons. Terah's sequence interleaves +60 Terah birth, base Terah birth, firstborn threshold, Abram birth, and Sarah birth. The source centers and those role assignments remain premises.
- C643's arithmetic selection of130 is a conditional congruence result, not evidence of an insertion history, manuscript priority, uniqueness across arbitrary altered offsets, or permission to change the frozen MT state.
- Coverage counts and factorization variants are not independent witnesses. In particular, once2352 and the Enoch upper arm980 are specified,1372 follows; the selected3257 internal cut still carries its own source-placement cost.
- A small locator improvement for downstream summaries: cite File70 §5.1 and Appendix A.4 for the Jacob1929/1922/1915 triple. C650's broader §§3–6 citation already contains it, so its omission of A.4 from the appendix list is not a source failure and does not require rewriting the journal.
The C642–C650 findings accurately separate rail geometry, special calendar placement, refined versus coarse structure, and source-assigned event roles. No canonical source was altered.