490d C457 — Shared-Word Transport of Actual 529 Source Intervals
25 September 2026 UTC. Step 13 of 25, C445–C469.
Complete 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.
| Source interval | Shared operator | Result interval | Span change |
|---|---|---|---|
| 1895,2953 | E3620 | 1745,2895 | 2×529→2×575 |
| 2148,3206 | E3620 | 2020,3170 | 2×529→2×575 |
| 2020,3170 | E2756 | 1956,3206 | 2×575→2×625 |
The 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.
This 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.
The 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.
Verification and scope
3 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.
Both ladders are comparisons of distinct source contexts. The interval closure adds no anchors, graph edges to the canonical chronology, or evidence of historical intent.
Mirror/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.
Best next bounded step
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.
The 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.