Independent review of C512–C521

Reviewer: native-LXX/source-review agent, assigned independently by the root researcher. Date: 27 September 2026.

Scope and result

Read the ten journal entries, their ten step scripts, the C512–C521 report, and the relevant sections of the latest supplied File52c (File_52c.Rounded_Whole_Span_Inverse_Detailed_Study_Draft (2)(1).md). Compared the scripts with the journal through an isolated replay using replacement begin and finish functions; the journal writer was not imported or called. A separately implemented trailing-zero-preserving decimal reversal was used. All 31 supplied assertions passed. Inputs, outputs, findings, reassessments, source references, and assertion values matched the journal. No numerical correction is required.

The review is bounded to arithmetic, coordinate conventions, source selections, dependency reasoning, and presentation of C512–C521. It is not a new statistical scan, a historical source investigation, or a validation of historical intent. No canonical source, step script, or journal was changed.

Nine members and their common rule

C512 accurately regenerates all nine inverse endpoints from the specified source dates and held anchors. The self-inverse Shelah and affliction spans are included without adding sources. C513's normal form follows directly:

All nine Creation-held values match File52c §3.7.3. Their uniform1280 difference between held-anchor choices is correct. The tenth counted incident is the14726 backbone; its informative span to6 is14720. A zero span about itself does not create a tenth nonzero Creation-held conversion. The report correctly treats the member selections and their coefficients as inputs rather than consequences of the affine formula.

C514 correctly transforms230+230 to250+250. The mixed original/generated Abraham midpoint1526 and the Entry–Exodus–Conquest430|40|430 partition use supplied event roles beyond affine midpoint preservation. The726 label retains File52c's schematic Samaria interpretation.

C515 correctly treats the Shem9200+5520 partition as one common dilation to10000+6000, with the Nativity-held triple16006/6006/6. The Creation-held Shem result4726 differs from6006 by1280; these are dependent anchor presentations.

Trio and restored-Cainan companion

C516 agrees with File52c §3.12.1: the inverse Eber–Shelah–Mahalalel order9321/2421/1731 gives6900+690, transformed to8851/1351/601 with7500+750. The preserved ratio is10:1, not an arithmetic midpoint. The total7590=23×330 becomes8250=25×330. E is integral for all three radii; P and J are fractional for each within the stated three-ratio set.

C517's mixed midpoint is exact in Rounded coordinates:

Both gaps are1950. The label equation2551=2×601+1351−2 is correct. The companion2551→2421→2091 has130+330=460, and2421 denotes Shelah's birth / Cainan's begetting endpoint. The second gap would be1951 under civil counting. This companion does not insert Cainan into the frozen MT manifest or re-date its upstream source rows.

C518 correctly connects the same330 remainder to two distinct facts: a Cainan insertion changes matched upstream cumulative-minus-regular placement by460−130=330, while the supplied inverse trio has width23×330. The latter width is not predicted by the biographical identity alone. In synthesis, retain “matched upstream endpoints with held anchors”; the+330 statement is not a rule for every downstream node.

Minor wording refinement: C517's “an actual placement constraint” would be clearer as “an additional placement constraint,” avoiding confusion with the project's capitalized Actual mode.

Countdown and Temple junction

C519 agrees with File52c §§3.11.2–3.11.3. The common6210 radius gives8426 under P and7976 under E. Against adopted Moses1526, the spans are6900=15×460 and6450=15×430. The450 branch difference and matched90 displacement follow exactly. The call2091-to-Exodus1446 span is645, whose tenfold6450 comparison remains distinct from the430 Entry-to-Exodus interval. Only the countdown endpoint is generated by the displayed P dilation; the Moses birth is an independently supplied comparison endpoint.

C520's numerical result is correct. Independently recomputed the source-dependent closure as three explicit equations, with E=25/23:

The first equation gives the shared q525 / Rounded AD526 junction. The equality of the two920 widths gives the backward q−475 /476BC agreement and the symmetric forward q1525 coordinate. Identifying that forward endpoint as reflected Moses additionally uses the supplied Moses birth1526, expressed in the third equation. This birth is present earlier in the reviewed sequence and in File52c §3.9.3; it is implicit rather than listed among C520's own frozen inputs.

For the final explanation, expose these dependencies rather than saying an arbitrary920 source gap alone forces all source-role matches. The generated equal-spacing statement and its identification with Moses are related but distinguishable claims. Temple696 remains reference-only; the results are generated Rounded coordinates, not historical events or extra statistical trials. Repeating E here is a second expansion of a span, not a second decimal inversion.

Civil AD25 continuation

C521 accurately follows File52c §3.15.5:

The2276 result belongs to Noah under25/23;2426 belongs to Flood under300/299. The Rounded countercounts2299/2449 correctly demonstrate why the civil rule cannot be replaced by the Rounded metric. AD25 is an externally supplied comparison: within the adopted6BC Nativity chronology it provides the proposed age-thirty relation6+25−1=30. It is not established here as an independent historical ministry date.

Disposition

Arithmetic and source agreement: pass. No journal correction requested. The three small synthesis qualifications are to make the C520 role dependencies explicit, qualify the C518 bridge increment to matching upstream projections, and avoid mode ambiguity in C517's word “actual.”