# C1451 — Derive the two local partition laws

## Question

Can two local additivity differences reconstruct every observed change of partition?

## Sources

```json
[
  "Eighteen named-node paths"
]
```

## Opened utc

2026-09-29T01:16:15.050661+00:00

## Results

```json
{
  "MT_regular": {
    "dL": 0,
    "dU": 0,
    "alternate_change": 0,
    "refined_change": 0
  },
  "MT_cumulative": {
    "dL": -990,
    "dU": -990,
    "alternate_change": 0,
    "refined_change": 990
  },
  "LXX_regular": {
    "dL": -990,
    "dU": -990,
    "alternate_change": 0,
    "refined_change": 990
  },
  "LXX_cumulative": {
    "dL": 0,
    "dU": -990,
    "alternate_change": 990,
    "refined_change": 990
  },
  "SP_regular": {
    "dL": -4500,
    "dU": 1800,
    "alternate_change": -6300,
    "refined_change": -1800
  },
  "SP_cumulative": {
    "dL": 0,
    "dU": 0,
    "alternate_change": 0,
    "refined_change": 0
  }
}
```

## Finding

Two local defects explain all eighteen results: alternate−primary=dL−dU; refined−primary=−dU.

## Reassessment

Classify the exact shared responses without confusing cancellation with local additivity.

## Checks

```json
{
  "all_six_reconstructed": true
}
```

## Closed utc

2026-09-29T01:16:15.051662+00:00

## Record provenance

Exact record hash: `4118f860f6c975f2660634312f7795f49b73145a8fb6bc12e01ef0eaa6360662`

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