490d C338 — Source-qualified Noah-held double-E interval ladder

24 September2026. Step5 of10 in the C334–C343 authorization.

The retained primary SP Noah paths support a complete source-qualified duration ladder:1058→1150→1250 under E=25/23. The same Noah endpoint is used throughout; the other endpoints are already admitted MT Flood, Shem and Flood records in explicitly different contexts.

Let N be SP Noah, R the next-Gear restored-MT Flood boundary, H the same-Gear base-MT Shem birth, and F the same-Gear base-MT Flood boundary. SP remains OFF/Terah0/full430. R uses MT ON/Terah60/full430; H and F use MT OFF/Terah0/full430.

For the two primary paths, 1058×25/23=1150 and 1150×25/23=1250. The successive interval gains are92 and100, and 92×25/23=100. Both inherited matching phase components preserve these exact widths.

For both companions, the double expansion still matches actual end intervals:1058×E²=1250. Their actual MT Shem intermediate gives1149, however. An intermediate1150 would require a one-year MT person companion that is absent from the retained register. The complete two-stage source chain is therefore primary-specific; the companion cases retain a sourced double-E endpoint identity with an unsourced intermediate requirement.

This scalar ladder is not newly discovered. C01/C09 already tabulated it, and the locator-selected, hash-verified C89 report contains a different full source realization: its1058 and1150 intervals use Conquest/Flood and Joseph/MT-Noah endpoints, while its1250 interval shares the base-MT Flood/SP-Noah pair used here. C338 gives a different, Noah-held realization within the current Noah/Shem/Flood scope. It does not transfer C89's Creation-held map or reopen those other event registers.

These are exact duration identities plus source membership. No new anchor has been fitted, no generated intermediate is adopted, and no source instruction has yet been shown to prescribe this particular sequence. The next control is the already valid500/100 versus502/98 Shem binding.

Verification and limits

33 main checks and 17 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

Source-qualified duration realization, not proof of a prescribed expansion, independent witness or chronology-wide dilation. C89 prior art is retained and distinguished. No new endpoint, phase or fitted anchor.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

Decision after this result

C339, proposed and unexecuted: Test the Noah-held ladder against the previously admitted500/100 and502/98 Shem bindings, using the named G2 Noah/Flood with G2 versusG1 Shem control. Determine which equalities survive without creating a missing lower Gear or MT companion.

C338 succeeds at the primary intermediate but uses a particular Shem binding. The standing modal distinction is the strongest immediate control on that new source realization.