490d C420 — Fixed-pivot harmonic endpoint tests of the 2K profile
24 September 2026. Step 7 of 10 in the C414–C423 authorization.
The20 fixed-pivot gap tests yield one sourced output, an E² endpoint at the Noah-birth pair. None supplies a complete two-step E ladder.
| Held station | Upper pivot | E output | E² output |
|---|---|---|---|
| Noah birth | 3899 | 2749 | 2649 — MT Flood close |
| Shem birth | 3399 | 2249 | 2149 |
| Noah death | 2949 | 1799 | 1699 |
| Shem death | 2799 | 1649 | 1549 |
| Selected Flood boundary | 3299 | 2149 | 2049 |
Each input is its existing paired lower coordinate,1058 below the held upper coordinate. E expands that gap to1150; E² expands it to1250. All five E intermediates are absent from the frozen373-coordinate regular menu. Only the first E² output is sourced: MT Gear3 Flood close2649, CainanON/Terah+60/full430. Thus, about SP companion Noah3899, MT Noah2841→MT Flood close2649 is an exact squared-E endpoint comparison, but its required2749 intermediate is not a source.
P expands1058 to3220/3 and J to13800/13. Every corresponding output is nonintegral and cannot belong to the integer-coordinate source register. These are specified scalar-gap diagnostics; J remains File02's gap conversion and is not granted general date-operator status.
The new Noah endpoint is distinct from the older C343/C361 squared-E source comparisons in its held context and input/output roles. The scalar1058→1250 identity is prior arithmetic. The useful new question is whether the missing intermediate can be avoided by a different sourced realization of the same complete affine map.
Verification and limits
35 main checks and 14 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.
An endpoint hit is not a source-prescribed transformation or a path. No missing intermediate, extra rail, new pivot or calendar interpretation is inserted.
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
C421, proposed and unexecuted: Determine whether any two sourced E pivots, or any finite positive E/P/J word with the same whole-map slope, can realize the new held3899 squared-E map while keeping an admitted intermediate. Use exact affine algebra and the fixed regular coordinate menu.
One squared-E endpoint survived. Before treating it as a path, test whether changing sourced pivots can repair the sole missing intermediate without changing the actual affine map.