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C488 — Cainan as a cross-mode vector

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Study sequence: Regular/cumulative source rows and the Rounded–Actual 12026 bridge (C481–C499) · Regular & Cumulative

C488 — Cainan as a cross-mode vector

Question

Which shared structures survive the admitted 130/460 insertion?

Inputs

{
  "delta_R": 130,
  "delta_C": 460,
  "MT_bridge": 9890
}

Sources

[
  "Strategy §§3.2,4.4",
  "File18 Cainan controls"
]

Opened utc

2026-09-27T22:39:26.289098+00:00

Results

{
  "bridge_change": 330,
  "weighted_point_change": 394,
  "restored_bridge": 10220,
  "Sothic_factor": 7,
  "finite_state_rule": "OFF -> ON once where admitted; native LXX starts ON"
}

Finding

One inserted row accounts for both130 and460, increases the cumulative–regular bridge by330, and sends9890 to10220=7×1460. It shifts the weighted point by394, so it is not a12026-preserving operation.

Reassessment

Check whether the rounded regular reversal construction survives native LXX inputs.

Checks

{
  "bridge": true,
  "weighted_shift": true
}

Closed utc

2026-09-27T22:39:26.289320+00:00

Record provenance

Exact record hash: 81ce12908cdbb31a2fea6cbebbe635805da6fc1db08b73041dcb9737a0999cf3

Source journal: Research_Cycles/C0482_C0531/journal.json

Linked sources and evidence

Edition and provenance

C488.md

SHA-256 d99ee17d5e23587fe5f80a848cbb6e8120addbf640a8437538cc0447bfe51d1f

C480–C1634/Research_Cycles/C0482_C0531/journal.json#C488