C1027 — Formal closure reveals the missing source permission

Question

What extra merge would make the section grouping stable under reflection?

Inputs

{}

Sources

[
  "C1025",
  "C1026"
]

Opened utc

2026-09-28T04:00:40.445959+00:00

Results

{
  "formal_blocks": [
    [
      1
    ],
    [
      2,
      3
    ],
    [
      4
    ],
    [
      5
    ],
    [
      6
    ],
    [
      7
    ],
    [
      8
    ],
    [
      9,
      10
    ],
    [
      11
    ]
  ],
  "extra_merge": [
    "Adam",
    "Noah"
  ],
  "status": "obstruction witness only; source does not authorize the extra merge"
}

Finding

A formal stable closure would merge Adam and Noah as well as the two Esau occurrences. That shows the cost of forcing quotient symmetry; the source sections are retained unchanged.

Reassessment

State a general descent criterion and test it against a legitimate chronological coarsening.

Checks

{
  "stable": true,
  "nine_classes": true,
  "extra_merge_required": true
}

Closed utc

2026-09-28T04:00:40.446289+00:00

Record provenance

Exact record hash: e2a2ad9cad5a693712877b7bb7f3534e84b45c559514b1b85a233d86b111fad9

Source journal: Research_Cycles/C0932_C1131/journal.json