C554 — Separate endpoint and whole-rail translation

Question

Which spans contract when the clutch moves only a parent boundary?

Inputs

{
  "lifespans": [
    175,
    180,
    147,
    137,
    133,
    137
  ],
  "clutch": 14
}

Sources

[
  "File61 §7.4; §§17.2–17.3"
]

Opened utc

2026-09-28T00:12:55.834605+00:00

Results

{
  "parent_only": [
    161,
    166,
    133,
    123,
    119,
    123
  ],
  "both_ends": [
    175,
    180,
    147,
    137,
    133,
    137
  ],
  "Isaac_only_Abraham_fixed": 189,
  "derived_terminal_to_fixed_Exodus": 66
}

Finding

One-end translation contracts each lifespan; whole-rail translation preserves it. Outputs166 and119 remain part of the family. Moving Isaac alone makes189, showing why endpoint roles are indispensable.

Reassessment

Determine the exact local composition law for half and full clutch.

Checks

{
  "contractions": true,
  "opposite_endpoint": true,
  "terminal": true
}

Closed utc

2026-09-28T00:12:55.834804+00:00

Record provenance

Exact record hash: a626ce59056739d0391c7896af2c112ae74e728c23542e34a73ce7be958ab294

Source journal: Research_Cycles/C0532_C0631/journal.json