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C681 — Complete the conserved-center2940 corridor

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Study sequence: Phase brackets and micro/macro calendar completion (C672–C691) · Calendar Keys, phase & Sothic

C681 — Complete the conserved-center2940 corridor

Question

What invariant joins all three source-selected outer endpoint pairs?

Inputs

{
  "pairs": [
    [
      4326,
      1416
    ],
    [
      4336,
      1406
    ],
    [
      4341,
      1401
    ]
  ],
  "final_outward_displacement": 5,
  "source_local_components": [
    2,
    3
  ]
}

Sources

[
  "Supplement A §5.1"
]

Opened utc

2026-09-28T01:12:24.068500+00:00

Results

{
  "endpoint_sums": [
    5742,
    5742,
    5742
  ],
  "centers": [
    2871,
    2871,
    2871
  ],
  "widths": [
    2910,
    2930,
    2940
  ],
  "width_increments": [
    20,
    10
  ]
}

Finding

Opposed endpoint changes preserve U+L=5742 while widening2910→2930→2940. The final five-year displacement is the source’s local2+3 construction; it supplies generated extremities4341/1401, not new canonical Creation/Conquest anchors or upstream Gear permission.

Reassessment

Express translation and symmetric opening in center/width coordinates.

Checks

{
  "conservation": true,
  "widths": true,
  "increments": true
}

Closed utc

2026-09-28T01:12:24.068917+00:00

Record provenance

Exact record hash: d32d88df01582cdc941379c82608f496ef61a931430306f6dc332bed2584b4d9

Source journal: Research_Cycles/C0632_C0731/journal.json

Edition and provenance

C681.md

SHA-256 82a32ce4c5ab653f0a169af3378718c03ee0a322fbfec0d5dbc2f7ec27d99bf4

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C681