{"id": "c420", "title": "Fixed-pivot harmonic endpoint tests of the five 2K stations", "filename": "490d_C420_Fixed_Pivot_Harmonic_Endpoint_Tests_of_the_2K_Profile_20260924.md", "role": "Research action", "step": 420, "sha256": "8f53dae1938c920267f07c8f52eb894678db7802f51264d51765dce01b71d109", "bytes": 3181, "origins": ["C01–C479/packets/C420/490d_C420_Fixed_Pivot_Harmonic_Endpoint_Tests_of_the_2K_Profile_20260924.md"], "download": "/sources/8f53dae1938c920267f07c8f52eb894678db7802f51264d51765dce01b71d109.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C420 — Fixed-pivot harmonic endpoint tests of the 2K profile\n\n24 September 2026. Step 7 of 10 in the C414–C423 authorization.\n\nThe20 fixed-pivot gap tests yield one sourced output, an E² endpoint at the Noah-birth pair. None supplies a complete two-step E ladder.\n\n| Held station | Upper pivot | E output | E² outpu", "content": "# 490d C420 — Fixed-pivot harmonic endpoint tests of the 2K profile\n\n24 September 2026. Step 7 of 10 in the C414–C423 authorization.\n\nThe20 fixed-pivot gap tests yield **one sourced output**, an E² endpoint at the Noah-birth pair. None supplies a complete two-step E ladder.\n\n| Held station | Upper pivot | E output | E² output |\n|---|---:|---:|---:|\n|Noah birth|3899|2749|2649 — MT Flood close|\n|Shem birth|3399|2249|2149|\n|Noah death|2949|1799|1699|\n|Shem death|2799|1649|1549|\n|Selected Flood boundary|3299|2149|2049|\n\nEach 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.\n\nP 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.\n\nThe 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*.\n\n## Verification and limits\n\n35 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.\n\nAn endpoint hit is not a source-prescribed transformation or a path. No missing intermediate, extra rail, new pivot or calendar interpretation is inserted.\n\nMirror/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.\n\n## Decision after this result\n\n**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.\n\nOne 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.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}