Research action · Preserved journal reading record

C1220 — Prove coherence of consecutive rounded-residual translations

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Study sequence: Source changes through Rounded values and residuals (C1213–C1222) · Rounded chronology

C1220 — Prove coherence of consecutive rounded-residual translations

Question

Does the lifted action depend on how an admitted total shift is decomposed?

Inputs

{}

Sources

[
  "C1218",
  "C1219"
]

Opened utc

2026-09-28T05:30:59.326469+00:00

Results

{
  "composition": {
    "path": "model/rounded_translation_composition.json",
    "sha256": "75a28f7bb3d4a6f20397c95c1ee5d51b30d61bd6dc6d190fbb0db940da93dba8",
    "bytes": 384
  },
  "diagnostic_cases": 25
}

Finding

The lifted translations compose exactly because they retain the full original value. Their coherence is mathematical; source authorization of each intermediate state remains separate.

Reassessment

Determine precisely when the residual may be dropped without breaking a universal shift rule.

Checks

{
  "all_cases": true,
  "25cases": true
}

Closed utc

2026-09-28T05:30:59.326980+00:00

Record provenance

Exact record hash: c74d03e7bb0f6fd6dc2f9508f6ca8d8f644702e763748aefb46f89434f09b18d

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json

Linked sources and evidence

Edition and provenance

C1220.md

SHA-256 8fbb6a865e3385fc1cb1cf827c0d71715e8a1e6d8567b0505cf1481d1be679f0

C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1220