# C1066 — Complete paired-field difference mesh

## Question

How does the full source field compare with the already selected nine-member pillar field?

## Inputs

```json
{}
```

## Sources

```json
[
  "File52c §§3.7.3,paired endpoint tables",
  "C1065",
  "C513"
]
```

## Opened utc

2026-09-28T04:10:52.924745+00:00

## Results

```json
{
  "mesh_field": {
    "path": "model/paired_field_difference_mesh.json",
    "sha256": "cda0b6e3961f1cb43473dd39dd95c16df2ace3548af9e65d1f0f7a9afe4f7fb4",
    "bytes": 2947
  },
  "source_meshes": [
    5,
    115
  ],
  "E_meshes": [
    "125/23",
    125
  ]
}
```

## Finding

The full paired field has difference mesh5, while the inherited nine-member field has mesh115. Uniform E gives exact meshes125/23 and125, respectively. This relates the complete rational field to the existing integer subfield without enlarging it.

## Reassessment

Ask whether additional uniform Key measurements can recover lost component information.

## Checks

```json
{
  "meshes": true,
  "existing_reference": true,
  "subset": true
}
```

## Closed utc

2026-09-28T04:10:52.925625+00:00

## Record provenance

Exact record hash: `b0dfceedd703458a22eccd9b58d42e8b9606243dd1869d3578aa657fd4f27410`

Source journal: `Research_Cycles/C0932_C1131/journal.json`