Independent review of integration steps C606–C612

28 September 2026. Reviewer: SP source-check agent, separately assigned by the root researcher.

Result and scope

No numerical correction is required. All seven step scripts were replayed with research.REPLAY=True and both begin and finish intercepted. All 17 supplied assertions passed; computed inputs/results and report text matched the completed journal entries. The replay did not write the journal or artifacts. No numbered step, source, or existing journal entry was edited.

The review additionally derived the formulas below independently of the scripts, and checked their source roles against the latest supplied File52c, File68 §8.9, File69 §1.3 and its printed generation cells, File60 §§9.1–9.5, File62 §8.6B, and File63 §§7–9. Preparation notes were used to locate source passages, not treated as substitutes for them. This is a bounded arithmetic and source-semantics review, not a new historical or statistical verification.

Findings by step

C606 — The 9000/9100 duration interface

File68 §8.9, lines2585–2605, explicitly supplies the outer fifty-generation volumes9000=50×180 and9100=50×182. Its ordinary forty-nine-generation fields remain8820/8918; the extra symbolic pre-generation must remain explicit. The displayed heads8936/9036 BC and terminal AD65 are schematic generated coordinates, not historical Creation dates.

Latest File52c §3.15.2 separately supplies Noah's selected8970 radius and its J/P results9000/9100. Independently:

The cross-source identification through91/90 is a derived synthesis. The inspected sources state the respective input/output pairs; they do not independently state this particular cross-link. The step correctly avoids identifying the schematic endpoints with Noah's selected chronological node. Its “shared derivation” question should be understood as a common arithmetic representation, not evidence of a shared historical construction.

C607 — Role-specific affine maps

File69 §1.3, lines739–793, gives the no-rail birth coordinate

at generation resolution. In the source's role order—birth+110, birth, ascension+110, ascension—the complete cell is

Thus the reported constants 46,−64,156,46 follow without fitting. They are coordinate constants derived from the AD65 terminal, the fixed110 rail, and the role relation; they are not new event anchors. With q=182/180, each fixed-role expression obeys

All twelve generation-cell role maps for N=77,63,50 match File69's printed coordinates. The minimum/maximum crossed-envelope widths are26u and28u, giving4680→4732 and5040→5096.

A separate proof rules out one role-preserving affine map of the full cell: preserving a nonzero110 rail forces its slope to1, while carrying the local70 birth-to-ascension gap to72 requires a different slope. The role-specific family is therefore the appropriate claim. In particular,91/90 does not scale every internal distance: the110 rail is fixed.

C608 — Covariance, not unchanged-operator commutation

For D(a,k)(x)=a+k(x−a) and T_t(x)=x+t, direct expansion gives

while

For a14004, x1446, t2, k300/299: the original output is1404; translating the output or moving the entire anchored input frame produces1406; moving the point alone gives420396/299, exceeding1406 by2/299.

The script and displayed identity are correct. Preferred wording: “Anchored dilation is covariant under translation when its anchor translates with the frame.” Translation does not commute with the unchanged anchored operator, except when t=0 or k=1. This algebraic frame change does not authorize new source dates or upstream Gear transport.

C609 — Allocation and interior junctions

With S=A+B, B=fS, and a common held head, terminal-only E expansion has totalA+EB. Uniform k expansion has totalkS. Equality requires

The first route retains its junction at distanceA; the uniform route moves it to distancekA. Their positive distance discrepancy is

The two examples give35/6 and525/13 exactly. If expressed as “uniform minus allocated” BC coordinates, the signed discrepancy is the negative of these positive gap magnitudes.

File62 §8.6B explicitly supplies402.5+80.5 and the dual490 routes. File63 supplies the mixed-role path14004→1929→1446, with12075+483; the terminal-E comparison against J on12558 is a derived allocation synthesis using those source breakpoints. It is not one cumulative genealogy, and endpoint agreement does not identify the internal paths or calendar operators.

C610 — Partition dependence of reversal

The latest File52c §3.3 supplies both primary paths. Independent calculation gives:

Both component evaluations give1406+10620=12026. The computation establishes that the partition must be retained. Order and endpoint roles must also be retained when the full chronological path or intermediate junctions are represented; the final sum of reversed components alone is commutative and does not distinguish their order. No second inversion or new breakpoint is used.

C611 — The3430 anatomy

File60 §9.5 explicitly selects Actual upper cumulative Flood-envelope member4836, cumulative Abraham2435, and Conquest1406. The spans are2401 and1029. The latter is also the sum175+180+147+137+133+137+120 from the Moses/Nisan cumulative lifespan chain in §9.1.

The compact7:3 expression is correct. File60 already supplies the equivalent seven-power anatomy; this is compression and integration of that source result, not an independent witness. The Actual4836 source member is distinct from the Rounded Moses-line4836 used in reversal, notwithstanding their common label and3430 width. The step correctly declines to make Actual Abraham2435 an additional rounded inverse breakpoint.

C612 — The989 unit and weighted bridge

File60 §9.2 supplies2435−1446=989=43×23 and E(989)=1075. Latest File52c §3.14.2 supplies the Actual completion pair14004/4114, the anchor12026, and arms1978/7912. Consequently:

This is a valid derived duration interface. Preservation of1:4 under one common Key follows from linear scaling; the source-specific contribution is that these selected arms are2 and8 copies of the independently sourced989 interval. No new event identification or independent statistical confirmation follows. Rounded1980/7920 and Actual Year-6 endpoints remain separate states.

Reconciliation recommendation

Carry the arithmetic forward unchanged. In the final synthesis explicitly mark the91/90 cross-link and the26-cell terminal allocation as derived integrations; label C608 as covariance; identify the C609 gaps as positive junction-distance discrepancies; and distinguish C610's necessary partition information from the additional order/role information retained by a full path. These are source-status and explanatory qualifications, not failures of the calculations.