# C1453 — Locate translations of complete selected upper branches

## Question

Does any refined path translate its Flood, Noah/Shem and head by the same amount?

## Sources

```json
[
  "Full retained-node displacements"
]
```

## Opened utc

2026-09-29T01:16:15.056314+00:00

## Results

```json
{
  "MT_regular": {
    "upper_offsets": [
      3960,
      3960,
      7920
    ],
    "uniform": false
  },
  "LXX_regular": {
    "upper_offsets": [
      1980,
      1980,
      5940
    ],
    "uniform": false
  },
  "SP_regular": {
    "upper_offsets": [
      5400,
      5400,
      5400
    ],
    "uniform": true
  },
  "MT_cumulative": {
    "upper_offsets": [
      0,
      0,
      -990
    ],
    "uniform": false
  },
  "LXX_cumulative": {
    "upper_offsets": [
      0,
      0,
      -2970
    ],
    "uniform": false
  },
  "SP_cumulative": {
    "upper_offsets": [
      -1980,
      -1980,
      -1980
    ],
    "uniform": true
  }
}
```

## Finding

Both refined SP upper branches translate uniformly: Regular by+5400 and Cumulative by−1980. The completed SP cumulative branch is its source branch+720 after the common2700 tail change.

## Reassessment

Relate SP cumulative preservation to MT cumulative head preservation, keeping intermediate differences visible.

## Checks

```json
{
  "exact_SP_regular": true,
  "exact_SP_cumulative": true,
  "only_SP_uniform": true
}
```

## Closed utc

2026-09-29T01:16:15.056646+00:00

## Record provenance

Exact record hash: `7429ef362fd58788d72bf18414c83b9377e3d55cc58ae8c62866d10e91dd0ed2`

Source journal: `Research_Cycles/C1433_C1482/journal.json`