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C723 — Clarify the primary Rounded backbone continuation

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Study sequence: Conserved measurements and final C731 synthesis (C710–C731) · Family grammar & reading guides

C723 — Clarify the primary Rounded backbone continuation

Question

How does the admitted1400 terminal leg continue the primary12026 backbone to14726?

Inputs

{
  "primary_reversed_components": [
    [
      5610,
      5010
    ],
    [
      7190,
      3430
    ]
  ],
  "original_terminal_leg": 1400,
  "anchors": [
    1406,
    6
  ],
  "separate_refinement": 13016
}

Sources

[
  "Latest File52c §3.4; integrated-draft math review"
]

Opened utc

2026-09-28T01:27:45.501348+00:00

Results

{
  "single_pass_terminal_image": 4100,
  "Nativity_endpoints": [
    14726,
    14726
  ],
  "net_change_from12026": 2700,
  "explanation": "Anchor moves1406→6 while the new1400 source leg contributes its single-pass image4100; net+2700."
}

Finding

The14726 continuation belongs to the primary12026 backbone: changing the anchor subtracts1400 while the new reversed leg adds4100. The13016 refinement is a separate branch. This explicit calculation removes an ambiguous antecedent in the draft without introducing a second reversal.

Reassessment

Apply the final three clarity refinements and freeze the publication draft.

Checks

{
  "single_pass": true,
  "both_branches": true,
  "net_shift": true
}

Closed utc

2026-09-28T01:27:45.501625+00:00

Record provenance

Exact record hash: d6502cd8bdc093fcdbcbb4eeea721af4904a5f91d586a26aedc07f0742c4c667

Source journal: Research_Cycles/C0632_C0731/journal.json

Linked sources and evidence

Edition and provenance

C723.md

SHA-256 c4006197ffa6cdb56ee12c9792e3a31a2d6c592d0d8a3a84510952652c6bcfd1

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C723