# 490d Mirror checkpoint after C393

24 September 2026. **C393 complete; C394 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

C384–C393 complete. A source-qualified E/J affine square connects the existing MT Noah two-year repair to SP primary/LXX Cainan-OFF Shem births, using the next-Gear Shem death as the transported J pivot. Four coordinate squares have eight labelled context lifts and compose into two two-edge coordinate strips over G1–G3. Direct E/PJ squares with the old next Flood pivots fail by42/69 or42/299; transported P pivots are absent. The positive E/J square is exact as an affine map, but matched seasonal components require phase-specific source pivots and are not one physical-time action. SP companions and502/98 remain valid source modes: their horizontal Shem J edges pass but this vertical E comparison fails. Both original17K corner exchanges preserve the algebra yet leave three cumulative image points absent in each square. A4096-trial coherent-family census, without529 or prior-PJ filtering, recovers precisely the original eight context lifts. Source500/600 and E/J forceh2,460=230h and598=299h, hence1058=529h; the existing target Flood recovers69h→70h underP. This is a conditional source equivalence, not an independent529 datum. The target side1100 exceeds2K by42. A1492-evaluation fixed-Noah E census has29 nontrivial coordinate edges, four fixed points and25 maximal paths; only the four retained double-E ladders have two edges. Thirteen extra edges include sourced23→25 reverse-Gear Noah comparisons3683→3681 about3706 and3685→3683 about3708. Their context displacement is−215+130+60=−25 with the input Gear increment2. Their P/J or Mirror interpretation has not been executed.

Latest completed C393; C394 is unexecuted and outside this completed authorization. Use the C393 compact restart kit as the active packet; read synthesis/checkpoint then locator. C385 gives sourced E/J pivots, C386 the exact affine square and phase limits, C387 companion/modal controls, C388 finite strip composition, C389 cumulative source obstruction, C390 the unconditioned coherent-family census, C391 the conditional529 equivalence, and C392 the complete E graph at four selected existing Noah pivots. Example: J_2648 carries MT Noah3246→3248; E_3706 carries3246→SP/LXX Shem3206; E_3708 carries3248→3208; J_2608 carries3206→3208 with2608 the sourced next-Gear Shem death. Thus E_(N+2) after J_A equals J_(A−40) after E_N, with slope7500/6877. The required analogous P pivot3068 is absent (as are2853,2855,3070 in the other rows). Source500/600 fixes the230h+299h=529h geometry ath2; next-Noah to Shem death550h changes the outer side by21h42. No global2K/17K-preserving E/P/J action is established. The two sourced E23→25 reverse-Gear edges use full4301/CainanOFF/Terah0 held Noah versus full4300/CainanON/Terah60 input/output Noah; SP primary and LXX records stay separate. Do not promote the13 extra E edges into a common source biography or new protocol. Retain C383 moving P/J lawD=230h, finite path bounds and17K+4 paired drift; C373 commonP/J source repair; C367 nativeNoah950 translation by19K; C343 Noah-held1058→1150→1250 and C363 source500/600 qualifications. K529,E25/23,P70/69; File02 J300/299 is gap conversion, not Residue Protocol. Global paired MirrorJanuaryAD1; local junctionJanuaryAD2; no civil yearzero. Regular Gears Noah/Shem/Flood only; SP minus-one person companions local; Flood close separate. SP primary Noah death retains inclusive/harmonic qualification;500/100 and502/98 both valid. No new source endpoint, phase, fitted anchor, global axis, cumulative Gear, primer reopening, canonical or graph edit. Corrected LXX8464 supplement awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. Original unprefixed reports, Engine reports and C-series distinct. The earlier incompleteSeptember17 ZIP differs from the later verified intact original. Replays, context aliases and repeated coordinates are not independent historical witnesses.

## Retained context

C383 is the latest preceding synthesis. The complete frozen Flood-pivot common-P/J census has six cumulative signed-minus-two and four regular signed-plus-two source quadruples. Two regular lower-full430 contexts are minus215 translations; only original full430 i3/i5 joins retain17K. P/J moving-pivot squares commute exactly when pivot separationD=230h. Finite paths have at most three cumulative or two regular edges. In translated frames the maps share the existing source input as center; operator counts determine the word map, and distinct counts retain distinct slopes. Paired iteration raises cross-spans by4, so it does not preserve17K. Fixed-pivot order defect is±20/897. J300/299 is File02 gap conversion, not calendar Residue Protocol. 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 62 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

C394: Test the two newly recorded E23→25 reverse-Gear Noah edges against the existing finite P/J source graphs and the two recorded17K source-corner exchanges. Keep their−215+130+60 context displacement explicit, use only existing pivots/endpoints/phases, and determine whether any mixed-operator or Mirror source diagram closes. Do not extend Gear scope or adopt generated coordinates.

The final E census found these two source-qualified primitive edges beyond the old ladder, while the present E/J construction has explicit P and cumulative limits. A finite compatibility test is the next direct529/Mirror question. C394 is proposed only and requires a new instruction.

The current authorization ends here. C394 requires a new instruction.