# 490d Mirror checkpoint after C383

24 September 2026. **C383 complete; C384 unexecuted.** 0 steps remain in the current authorization. Read this checkpoint and report first; frozen predecessor records retain earlier findings. Current decisions override stale archive instructions. Do not repeat completed research.

## Current result

C374–C383 complete. The paired two-year repairs preserve the original2K/17K outer corners but change the internal cross-span17K+138 to17K+142. Existing corner exchange conjugates P/J at source Flood pivots; typed MT membership excludes companion rows and fixed-sum exchange reverses phase. The exhaustive frozen Flood-pivot census tests240 cumulative and9120 regular ordered coordinate pairs: only signed scale−2 cumulative and+2 regular has complete common source support, giving six and four coordinate quadruples. The two extra regular configurations are minus215 translations; SP/LXX aliases preserve source identity, and only the original full430 i3/i5 pair retains17K. J-only299→300 edges form one SP Noah-death family but do not carry whole950 biographies. Common P/J source paths have at most three cumulative or two regular edges, requiring pivots to move with the gain. Paired continuation preserves2K and corner sums but raises cross-spans by4, so the original17K states are not closed. A precise composition law survives: P_(B+h) after J_A equals J_(A+h) after P_B exactly when B−A=230h. In translated frames both are dilations about the same existing source point. Six source squares and24 finite word routes verify the law; fixed pivots have defect±20/897. No global529-preserving action or source-prescribed pairing is established.

Latest completed C383; C384 is unexecuted and outside this completed authorization. Use the C383 compact kit as the active packet; read synthesis/checkpoint then locator. C378 is the complete frozen Flood-pivot census, C379 qualifies contexts and original17K pairing, C380 supplies finite source paths, C381 proves the paired cross-span drift, and C382 gives the moving-pivot mixed-square law. The primitive equal-gain relationD=230h simultaneously explains the sourced529m side and mixed-order equality. In the moving frame x0=A+299h=B+69h is an existing source input, not a new epoch anchor. Same operator counts give the same affine word map; different counts remain different slopes. Do not turn finite source paths into extra Gears, cumulative Gear transport or a global action. Keep unit J-only SP Noah-death edges distinct from common P/J edges and from biography transport. No unit-gain Flood-pivot pair exists in the frozen menus; signed scale-four candidates lack source endpoints. Full430 minus215 copies preserve local2K but not original17K against fixed cumulative sources. Prior C373 source repair, C367 nativeNoah950 translation by19K and C369 bridge remainders remain. Retain C353458+600 repairs, C343 Noah-held1058→1150→1250 E ladder and C363 source qualifications. K529,E25/23,P70/69; File02 J300/299 is a gap conversion, not ResidueProtocol. Global paired MirrorJanuaryAD1; local junctionJanuaryAD2; no civil yearzero. Regular Gears only Noah/Shem/Flood; SP minus-one person companions stay local; Flood close is separate. C287 completei2…5 differs from the wider cumulative six-edge and C319i3…7 menus. SP primary Noah death retains inclusive/harmonic qualification;500/100 and502/98 modes remain valid. No new source endpoints, phases, fitted anchors, global axes, primer reopening, canonical or graph edits. Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 stays superseded. Original unprefixed reports, Engine reports and C-series remain distinct. The old incompleteSeptember17 ZIP differs from the later verified intact original. Replays, replicas and coordinate aliases are not independent historical witnesses.

## Retained context

C373 is the latest preceding synthesis. At source Flood pivots 460 apart, P=70/69 on 138→140 and J=300/299 on 598→600 reach the same existing two-year repair. All four complete cumulative rows and regular primary i3/i5 pass; companion regular rows fail. Twenty C319 controls leave 22:i3/i5 conditionally. Equal integer gains have family69m→70m,299m→300m,pivot230m, source-qualified side529m; actual460 fixesm2. The pairing is not a reviewed source prescription or a global map. Same-offset comparisons pass; fixed-pivot phase transport fails. Native cumulative Noah950 translates by existing19K to reflectedSP950 with birth/death roles exchanged. The full source bridge matrix has primary69/138 and companion70/140 remainders; the companion459 includes an explicit annual-index difference. The cumulative joined500/1100 comparison has no source support in its frozen menu. C373 retains all earlier qualifications. C363 is an earlier synthesis. Joined460/598→500/600 reaches sourced SP Shem birth/death and changes one original17K span by42;550/529 is diagnostic only. The source Shem600+50+600 rectangle gives1250; Shem-held squaredE maps1058→1250 but has no admitted2056/2058 intermediate. Both new constructions leave02/22:i3/i5, with cumulativea unselected. Phase ancestry and source membership remain explicit. C353 adds the primary458+600=1058 paired source realization with original2K/17K outer endpoints unchanged, the598→650 SP/MT Shem image under E, and bounded partial relations.600 output alone leaves nine primary controls; both598 inputs select22 conditionally. Whole-affine gap conversion is not biography or seasonal-component transport. C343 is the earlier source-ladder synthesis. The primary Noah-held source ladder1058→1150→1250 under E=25/23 has refinement460+490+108+92+100. Companion actual MT Shem gives1149 and the valid502/98 mode gives1152; both retain double-E outer endpoints. C341 distinguishes component-preserving comparisons from one physical-time affine dilation or a biography-preserving map. C334 shared Shem±2 origin is explicit, but exact cumulative/regular endpoint coupling is unestablished in reviewed passages. C342 full regular ladder leaves C319 controls02 and22 at i3/i5; separate17K selects22. C287 full SP domaini2…5 remains; C319 is onlyi3…7. C314 reversal requiresi+j=10 with opposite cumulative ancestry phase; C323 conditionali=j5 uses its extra support requirements. SP primary death retains inclusive/harmonic qualification; matched lifespan950 remains. Source500/100 and502/98 bindings are valid alternatives. Scalar/C89 prior art remains distinct from the Noah-held endpoint realization. Corrected LXX8464 supplement is awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. Earlier incompleteSeptember17 ZIP differs from the later verified intact original. Original unprefixed reports, Engine reports and C-series remain distinct. No independent witness or source-prescribed selector is inferred from repeated coordinates.

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.

## Verification

75 main checks and 61 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.

## Best next bounded step

C384: Compare the moving-frame P/J composition structure with the existing Noah-held E=25/23 source ladder. Test a finite mixed diagram using only its already recorded pivots, endpoints, contexts and phases; determine whether a source-qualified commuting square exists and record any obstruction without changing anchors or Gear scope.

The paired P/J comparisons now have an exact source-supported composition law and a known17K closure limit. Connecting that reduced structure to the retained E ladder is the next direct unification question. C384 is proposed only and requires a new instruction.

The current authorization ends here. C384 requires a new instruction.