C533 — Uniform and mixed calendar branches

Question

Can the completed299 and161 arms be treated as one uniform expansion?

Inputs

{
  "arms": [
    299,
    161
  ],
  "E": "25/23",
  "J": "300/299"
}

Sources

[
  "File60 §5",
  "C532"
]

Opened utc

2026-09-27T23:59:21.577572+00:00

Results

{
  "all_E": [
    325,
    175,
    500
  ],
  "all_J": [
    300,
    "2100/13",
    "6000/13"
  ],
  "mixed": [
    300,
    175,
    475
  ]
}

Finding

Uniform E preserves the partition as325+175=500. The mixed J/E completion is300+175=475 and is a different operation. Shared coefficients do not make the Keys interchangeable; source-declared mixed branches must retain their separate labels.

Reassessment

Test the actual common1566 landing where File60 deliberately uses two different Keys.

Checks

{
  "E_total": true,
  "mixed": true,
  "distinct": true
}

Closed utc

2026-09-27T23:59:21.577876+00:00

Record provenance

Exact record hash: ab6e064311e941d5c0963b904abcbee26c793332d130c148bf1a200f9c3900b6

Source journal: Research_Cycles/C0532_C0631/journal.json