Figure 6 · The Key of 23 in Action

Double the input, then choose one expansion

A fixed cumulative 14006 BC anchor gives two alternative landings in the extended genealogical display.

Held fixed: 14006 BC
Cumulative MT Adam · Year 6 · Moses/Nisan

Input: 9660 = 2 × 4830

Unexpanded placement

14006 BC · fixed4346 BC

14006 − 9660 = 4346 BC

Calculated endpoint of the doubled input.

Alternative A · 70/69

14006 BC · fixed4206 BC

9660 × 70/69 = 9800

Opens the extended Adam carrier: 4206–4136 BC. Increase: 140 years.

Alternative B · 25/23

14006 BC · fixed3506 BC

9660 × 25/23 = 10500

Noah 3576–3506 closes; Shem 3506–3436 opens. Increase: 840 years.

Two alternative expansions, not successive stepsThe Adam, Noah and Shem positions belong to an extended comparative display. Matthew’s Gospel itself begins its genealogy with Abraham.
The input is 9660 = 2 × 4830. Its two alternatives land on the schematic Adam opening 4206 BC and the Noah/Shem hinge 3506 BC.

Sources: File 46 §§3.1–3.2: doubled-span alternatives · File 43 §3.4: extended Matthew-side carrier display · File 18 §6A: cumulative Adam Year-6 Moses/Nisan coordinate.

Full table and explanation · Introductory article

Model and calculation details

Hold the cumulative MT Adam Year-6 Moses/Nisan coordinate 14006 BC fixed. The unexpanded 9660-year input has the calculated endpoint 4346 BC. Multiplying 9660 by 70/69 gives 9800; 14006 − 9800 = 4206 BC opens the Matthew-side extended Adam carrier 4206–4136 BC. Alternatively, 9660 × 25/23 = 10500; 14006 − 10500 = 3506 BC closes Noah 3576–3506 and opens Shem 3506–3436 in the same extended display. The gains are 140 and 840. The expansions are alternatives, not successive steps. The extension before Abraham belongs to the comparative model; Matthew’s Gospel itself begins its genealogy with Abraham.

Static image alternativeThree spans hold cumulative 14006 BC fixed. The doubled input 9660 has calculated endpoint 4346 BC. The 70/69 alternative gives 9800 years and endpoint 4206 BC, opening the extended Matthew-side Adam carrier 4206–4136. The 25/23 alternative gives 10500 and endpoint 3506 BC, the hinge between schematic Noah 3576–3506 and Shem 3506–3436. Gains 140 and 840 are alternatives; the extended model does not claim Matthew’s Gospel begins at Adam.

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