C1200 — Separate carry information from exact residual information

Question

Can knowing the carry replace knowing the exact lifespan in joint recovery?

Inputs

{}

Sources

[
  "C1199"
]

Opened utc

2026-09-28T05:25:03.301412+00:00

Results

{
  "carry_information": {
    "path": "model/rounding_carry_information.json",
    "sha256": "92e6d16905b18c5ee3305c094f7ef6fc0af0339cb3dc69ba596d574bf7f12d12",
    "bytes": 365
  },
  "pair_counts": {
    "-5": 3,
    "0": 19,
    "5": 3
  }
}

Finding

A carry stores only a branch: its three classes contain3,19 and3 residual pairs. Even an extreme carry leaves three possible exact decompositions when exact life is absent.

Reassessment

Combine this result with the cap, which removes excess lifespan rather than a small rounding residual.

Checks

{
  "partition25": true,
  "counts": true
}

Closed utc

2026-09-28T05:25:03.301807+00:00

Record provenance

Exact record hash: 813eaaeffb6b87bd3fd12d69ccad203afa18ebae55aa133985fdb18b4f4b1464

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json