C693 — Explain the dual-route convergence balance

Question

Which differences are premises and which are consequences of the common head?

Inputs

{
  "source_states": [
    4114,
    4304
  ],
  "anchors": [
    1446,
    1406
  ],
  "gains": [
    232,
    42
  ],
  "completed_radii": [
    2900,
    2940
  ]
}

Sources

[
  "C692; Supplement A §9"
]

Opened utc

2026-09-28T01:15:37.510819+00:00

Results

{
  "source_gap": 190,
  "gain_gap": 190,
  "anchor_gap": 40,
  "completed_radius_gap": 40,
  "source_components": [
    60,
    130
  ]
}

Finding

The two source states differ190=60+130, exactly balanced by their Key-gain difference232−42. Their completed radii differ40, matching the anchor separation. These equations explain convergence without turning the generated head into a transmitted Creation date.

Reassessment

Recover the internal source partition under its declared anchoredP route.

Checks

{
  "gain_balance": true,
  "anchor_balance": true,
  "source_components": true
}

Closed utc

2026-09-28T01:15:37.511054+00:00

Record provenance

Exact record hash: 1d72aee4ddb7fbe300f83ad589ab3235dbf19a933e28e4d85aab9303dd420859

Source journal: Research_Cycles/C0632_C0731/journal.json