{"id": "c462", "title": "Inherited Annual Rows and the 17K Cross-Span Condition", "filename": "490d_C462_Mirror_Phase_Ancestry_and_17K_Condition_20260925.md", "role": "Research action", "step": 462, "sha256": "dc9a87c7e9bb9bd44948076bf272851b725991e8df1135edb53d907bd4077da9", "bytes": 3299, "origins": ["C01–C479/packets/C462/490d_C462_Mirror_Phase_Ancestry_and_17K_Condition_20260925.md"], "download": "/sources/dc9a87c7e9bb9bd44948076bf272851b725991e8df1135edb53d907bd4077da9.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C462 — Inherited Annual Rows and the 17K Cross-Span Condition\n\n25 September 2026 UTC. Step 18 of 25, C445–C469.\n\nC287 already records four complete17K annual rows, with exchange constants−2641,−2639,−2637 and−2635. The active two-constant test preserves exactly thei3 andi5 assignments. Its three other sourced imag", "content": "# 490d C462 — Inherited Annual Rows and the 17K Cross-Span Condition\n\n25 September 2026 UTC. Step 18 of 25, C445–C469.\n\nC287 already records four complete17K annual rows, with exchange constants−2641,−2639,−2637 and−2635. The active two-constant test preserves exactly thei3 andi5 assignments. Its three other sourced images reassign annual slots and change the cross-span by−2,+2 or+4; none is a new17K corner.\n\n| Archived row | Regular pair | Inherited cumulative pair | Archived A |\n|---:|---|---|---:|\n|i2|2647,3705|−6346,−5288|−2641|\n|i3|2648,3706|−6345,−5287|−2639|\n|i4|2649,3707|−6344,−5286|−2637|\n|i5|2650,3708|−6343,−5285|−2635|\n\nFor fixed A, the condition is x+y=A+17×529. Merely retaining the2K width does not satisfy that sum condition automatically. C461’s off-row images are available cumulative records, but they have different annual ancestry from the corresponding archived row.\n\nThe two additional archived constants are documented here as historical controls. They were not fitted from the new images and are not inserted into the active two-exchange menu. The companion Noah records at3705 and3707 remain SP companions; the cumulative annual steps are not regular Gear steps.\n\nThis source review prevents a narrower current test from erasing older valid rows. It also defines the next check precisely: an affine conjugacy must preserve source availability of its anchor as well as its endpoints before it is described as a sourced cumulative comparison.\n\n## Verification and scope\n\n9 calculation checks and 21 source/predecessor authentication checks passed. Main result files replay byte for byte. These are root-agent checks, not an independent-agent review or independent historical witnesses.\n\nAll four archived rows remain valid within their inherited bindings. Only the two previously fixed exchange constants are used for the following comparison; no new global Mirror axis is introduced.\n\nMirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.\n\n## Best next bounded step\n\n**C463, proposed and unexecuted:** Conjugate every admitted E/reflection arrow through each of the two fixed Mirror exchanges, requiring cumulative source records for both transformed endpoints and the transformed anchor, and separate endpoint-only images from fully qualified comparisons.\n\nThe corner phase assignments are now resolved. Testing transformed operator anchors will show whether the local E interval ladder actually carries into the cumulative Mirror domain, rather than only producing formal conjugate equations.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}