Family map: relationship and source register
Support for the Chronological Families Map. The diagram has four nodes across and six constructive lanes. It adds no chronological operation, source choice or numerical result. An arrow means the stated source-controlled construction, not a connection inferred from equal numbers. The operation sequences carry their retained inputs forward; they are not claims that intermediate numerical outputs alone recover those inputs.
| Lane / arrow | Relationship shown | Retained source information | Source and proof locators |
|---|---|---|---|
| 1A: rows → local changes | Compatible ordinary-row changes use their named begetting/lifespan supports; native Cainan is an inserted labelled vertex. | Actual row values, source masks, current LXX 182/753, calculated remainders, native insertion. | File18 §§1.6,2–4; C1152–1160, C1182–1189. |
| 1B: changes → two measures | Regular selects effective birth intervals; Cumulative selects lifespans. Cainan contributes 130 and 460 respectively. | Count conventions and mode roles; incidence is retained. | File18 §1.6, §§2–4,6; C1187–1188, C1254–1255. |
| 1C: measures → complete differences | Ordered accumulation generates the full fields. Shared-row Regular/Cumulative differences are 1250/430; native Cainan gives 1380/890. | Same matched terminal and explicit native/shared comparison; these are differences, not dates. | C733–748, C1182–1189, C1254–1255; whole_genealogy_native_insertion.json. |
| 2A: MT rows → Rounded Moses path | Round each selected interval, then accumulate to Moses1526. The five source cuts give 130 | 490 | 1030 |
| 2B: Moses path → File52c original words | Creation4106 and Noah3056 join separately supplied Flood2456, Conquest1406 and Nativity6 to recover all three admitted Regular words. | Separate birth/event roles at2456; no equal-coordinate identification. | Latest File52c §§2.1,3.3–3.4; C1273–1274, C1276. |
| 2C: original words → inverse/Key path | Apply the admitted one-pass reversal to each original component; retain established total14720 and whole-span E completion16000. | Original partition, digit/placeholder policy, held Nativity6, E=25/23. The Cumulative path is separately inherited. | File52c §3.4; C1058–1068, C1275, C1279. |
| 3A: SP inputs → cap | The nine birth distances determine resolved inclusive Flood capacities; minimum with the baseline gives the selected lives. | Native SP birth/count conventions, baseline life ledger, Noah–Flood600 plus inclusive1. | File18 §§3.1,3.1.3; C953–983, C1132–1151. |
| 3B: cap → complete source fields | Carry the cap's located reductions through Cumulative accumulation, and retain the Regular birth field. Post-Flood650/120 enter as separate source changes. | Located pre-Flood age reduction350; cap life reduction488; Eber/Terah120; the cap does not generate every regular or post-Flood datum. | File18 §§3.1–3.2,6C; C1151–1176, C1224–1225, C1262. |
| 3C: fields → rectangle | Apply the source placement and node openings, then P to Regular2760 and J to Cumulative11960; both gain40 and retain9200. | Absolute baselines, native−215 frame, Regular week opening+7, Cumulative decade opening+10, Exodus1446 and Conquest1406. | Strategy §4.3; C1223–1229. |
| 4A: local Covenant inputs → paths | Source ages generate the regular field; selected full lifespans generate the cumulative stack. | Author-designated full Covenant2081/minimum1866, local ages, biographies, Moses1526 and terminals; proposed offering separate. | File60 §§0.4,2–6; File61 §§6–8; C1032–1057, C1070, C1290. |
| 4B: paths → clutch | On the full regular comparison, d=cumulativeKohath−regularLeviDeath=1796−1782=14. | Full regular Levi1919/1782; selected cumulative stack; same Moses/Exodus relations. | File61 §§6.3–6.6,7.3–7.6,8.2–8.4; File62 §§1–2; C1051–1054. |
| 4C: clutch → joined family | First join is definitional; second uses shared Levi life; third uses the retained147 relation. One Nisan-derived clutch preserves exact phase3.5. | Exact half-clutch7; whole-year phase3 separate; translated Moses-side interfaces do not relocate historical Moses. | File60 §§2–3; File61 §§7.3A–7.6; File62 §§1–2; C1053–1057, C1070. |
| 5A: NT/source inputs → alignment | Compare the fixed NT list metric with22 shared native source birth names. | Each family keeps its source frame; NT slots have70, not ordinary biological age70. | File43 §3.4; File54 §§1.1–1.2,2.1–2.3; C1266. |
| 5B: alignment → full field | Each of21 comparison edges is predicted from source interval minus corresponding NT slot distance. Arphaxad–Shelah spans two cells when Cainan is omitted from the shared-name list. | Native Cainan remains a real row; two NT cells contribute140 in the matched-list comparison. | C1267, C1270. |
| 5C: full field → shared suffix | Shelah throughJacob have ten identical native SP/LXX births, while seven source lives differ by547. | This is a birth projection;547 is the source-life sum difference, not a newly appointed NT Cumulative chronology. | File18 native rows; C1268–1269, C1272. |
| 6A: count objects → registers | Esau's nine source counts enter declared prefix orders. Toledot's eleven occurrences enter ten sections with their multiplicities. | These remain two distinct source objects, with category and order retained. | File58 §§13.1–13.4; File70 AppendixB.1; C1009–1013, C1023–1026. |
| 6B: registers → retained measurements | A complete selected Esau prefix basis recovers nine counts; Toledot multiplicities preserve eleven occurrences. | Prefix data are sufficient only as the proved complete selection; multiplicity is retained information. | C1010–1013, C1023–1026. |
| 6C: measurements → interpretation | Equivalent count encodings retain their source meanings. Grouping preserves precisely the measurements/actions that pass its compatibility condition. | Toledot multiplicity does not make reflection descend. The separately proved NT seven-edge grouping does preserve reflection. | C1025–1029; File43 §3.4, File54 primary-path grouping. |
Regular-kernel connection kept in the relationship table
The named century supports generate the full1250/650 Regular staircase. A different, source-appointed finite choice family uses Terah60, Cainan130 and Sojourn215 to generate the complete405 placement field. Their coefficient-five relation requires (T=3u/5) and (C=13u/10) at (u=100). This is an additional observed source calibration, not an automatic consequence of the row supports. It need not add a seventh diagram lane: C1253–1264 and File18/File07 contain the full source audit.
Visual and relationship review
The 1600×1630 PNG was rendered from the SVG with Inkscape and inspected at its native aspect ratio. The four-node lanes have no crossed links or reduced-size source citations. All diagram labels fit within their boxes. The selection auditor reviewed the final PNG, caption and table and returned PASS, with no blocking or arithmetic issue. Its two wording suggestions were applied to the caption: the Moses path joins separately supplied File52c event nodes, and residual retention describes our exact reconstruction. Source openings in the rectangle and NT as a birth comparison are also explicit. The source and artifact hashes are recorded in Family_Map_Source_Bindings.json.