490d C352 — Paired598 inputs versus600 output selection
24 September 2026. Step 9 of 10 in the C344–C353 authorization.
Requiring598 on both sides selects22 at i3/i5, but requiring available600 outcomes does not: all four a,b choices remain represented. The difference identifies the additional selection assumption precisely.
In the frozen C319 menu, the source-labelled internal gaps are
cumulative gap =600−a,
regular gap =600+e−b, where e=1 for the SP-companion path and0 for primary.
Thus both input gaps equal598 exactly when a=b=2 and the path is primary. After source membership is applied, this leaves i3 andi5. It restates the two2K side requirements plus the primary qualification; it does not add an independent selection rule.
A different question asks whether each side can use an actual600 pair, allowing an already600 pair to remain unchanged. For primary rows, select the existing OFF-Shem member at i and the existing MT Noah in the Flood’s Gear. Nine source-admitted controls then support both600 gaps, covering00,02,20 and22. Their outer intervals retain the original1060/1058 distinctions.
| Requirement | Admitted primary outcomes |
|---|---|
| Both sides must begin at598 and undergo conversion | 22 at i3/i5 |
| Both sides may use600 source pairs, including already600 states | 9 controls across all four choices |
File_02 provides the shared ambiguity, regular gap conversion and cumulative propagation. No reviewed passage requires both comparison sides to begin at598 or prescribes their exact paired selection. The numerical cumulative counterpart remains useful without receiving that stronger status.
The research questions for this batch are now closed. C353 will synthesize the source-supported repairs, the598/650 connection, the partial endpoint relations and the remaining selection gap, and verify all deliverables.
Verification and limits
81 main checks and 18 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.
Conditional selector only. The comparison does not canonize both598 inputs or turn a source output into a prescribed input choice.
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
C353, proposed and unexecuted: Complete C353 synthesis and recovery: verify the nine predecessor packets, consolidate the mathematical and source conclusions, publish final reading index/checkpoint/restart kit/continuation archive/integrity record, and leave C354 unexecuted.
The distinction between requiring conversion and permitting already600 states resolves the final selector question. Consolidation and recovery are now the best last authorized step.