{"id": "c457", "title": "Shared-Word Transport of Actual 529 Source Intervals", "filename": "490d_C457_Complete_Shared_Word_529_Interval_Transport_20260925.md", "role": "Research action", "step": 457, "sha256": "5ab9a3f77680caf0ec1cc1bf00d1ca9080d3fe9b47bc764faaaaded390f48ad5", "bytes": 3108, "origins": ["C01–C479/packets/C457/490d_C457_Complete_Shared_Word_529_Interval_Transport_20260925.md"], "download": "/sources/5ab9a3f77680caf0ec1cc1bf00d1ca9080d3fe9b47bc764faaaaded390f48ad5.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C457 — Shared-Word Transport of Actual 529 Source Intervals\n\n25 September 2026 UTC. Step 13 of 25, C445–C469.\n\nComplete shared-word closure of all60 sourced529/1058 pairs reaches63 pairs in756 trials. Only two seeds move:1895/2953→1745/2895 and2148/3206→2020/3170, both1058→1150 underE3620. Only the latter continue", "content": "# 490d C457 — Shared-Word Transport of Actual 529 Source Intervals\n\n25 September 2026 UTC. Step 13 of 25, C445–C469.\n\nComplete shared-word closure of all60 sourced529/1058 pairs reaches63 pairs in756 trials. Only two seeds move:1895/2953→1745/2895 and2148/3206→2020/3170, both1058→1150 underE3620. Only the latter continues, to1956/3206 with span1250 underE2756. No reflection or further E step is admitted.\n\n| Source interval | Shared operator | Result interval | Span change |\n|---|---|---|---|\n|1895,2953|E3620|1745,2895|2×529→2×575|\n|2148,3206|E3620|2020,3170|2×529→2×575|\n|2020,3170|E2756|1956,3206|2×575→2×625|\n\nThe computation follows both endpoints under exactly the same operator, admitting an edge only if both outputs are source records. Reflection would reverse endpoint order; its ancestry permutation is specified in the implementation. None is admitted from the reached pairs here.\n\nThis settles all finite common words from the60 seeds. It does not conflict with C451: there is still no word connecting one member of a529 pair to its other member. Instead, a word transports an interval to a wider interval. The complete two-stage ladder is1058→1150→1250, with all six endpoint appearances sourced.\n\nThe upper endpoint of the two-stage ladder follows3206→3170→3206, while the lower follows2148→2020→1956. The previously established station return thus supplies the second boundary of the complete interval expansion.\n\n## Verification and scope\n\n3 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\nBoth ladders are comparisons of distinct source contexts. The interval closure adds no anchors, graph edges to the canonical chronology, or evidence of historical intent.\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**C458, proposed and unexecuted:** Resolve all endpoints and pivots of the two admitted interval ladders into their source-state terms and derive the1058,1150 and1250 gaps directly from the Noah/Shem/Flood bases.\n\nThe shared-word test identifies a positive source-complete interval structure. Its two seeds and all resulting gaps should now be derived from source terms rather than reported only as coordinates.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}