C1065 — Symbolic branch support conditions

Question

How do the source branch formulas constrain a common integer pivot?

Inputs

{}

Sources

[
  "C1064",
  "C850–C858"
]

Opened utc

2026-09-28T04:10:50.964993+00:00

Results

{
  "branch_conditions": [
    {
      "branch": "three-to-two core",
      "gap": "90(14+a−b−10c)",
      "remaining_divisors": [
        23,
        23,
        299
      ]
    },
    {
      "branch": "three-to-one core",
      "gap": "990(1−c)",
      "remaining_divisors": [
        23,
        23,
        299
      ]
    },
    {
      "branch": "retained-zero Jacob",
      "gap": 0,
      "difference_obstruction": false
    },
    {
      "branch": "retained-zero Adam",
      "gap": 7200,
      "difference_obstruction": true
    }
  ],
  "qualification": "difference compatibility never supplies the missing pivot residue or source authorization"
}

Finding

The paired-branch law gives divisibility conditions before any pivot placement is considered. A zero gap removes only the difference obstruction; it does not appoint a pivot.

Reassessment

Represent the complete paired field and inherited nine-member field by their difference meshes.

Checks

{
  "reduced_divisors": true,
  "Adam_obstructed": true
}

Closed utc

2026-09-28T04:10:50.965550+00:00

Record provenance

Exact record hash: 309e21350a593f4dddd6f9a5bb209e9cabc5f795296d812a3fed0bf52aba35ca

Source journal: Research_Cycles/C0932_C1131/journal.json