# C607 — Derive role-specific generation carrier transport

## Question

Can the91/90 volume ratio describe coordinate transport when role offsets are retained?

## Inputs

```json
{
  "u": [
    180,
    182
  ],
  "ratio": "91/90",
  "role_constants": [
    46,
    -64,
    156,
    46
  ]
}
```

## Sources

```json
[
  "File69 generation cell rule; C587,C588,C606"
]
```

## Opened utc

2026-09-28T00:26:59.896393+00:00

## Results

```json
{
  "role_maps": [
    {
      "N": 77,
      "source": [
        12646,
        12536,
        12576,
        12466
      ],
      "target": [
        12786,
        12676,
        12714,
        12604
      ],
      "role_maps_match": true
    },
    {
      "N": 63,
      "source": [
        10126,
        10016,
        10056,
        9946
      ],
      "target": [
        10238,
        10128,
        10166,
        10056
      ],
      "role_maps_match": true
    },
    {
      "N": 50,
      "source": [
        7786,
        7676,
        7716,
        7606
      ],
      "target": [
        7872,
        7762,
        7800,
        7690
      ],
      "role_maps_match": true
    }
  ],
  "map": "y=q(x−c_role)+c_role",
  "width_pairs": [
    [
      4680,
      4732
    ],
    [
      5040,
      5096
    ]
  ]
}
```

## Finding

The generation cells admit affine transport separately by role, with constants46,−64,156,46. Their envelope widths scale91/90, but the different role constants prevent one global affine map. Indexed carrier substitution compiles into a family of role-specific maps.

## Reassessment

Test translation/dilation composition to distinguish moving a complete frame from moving dates alone.

## Checks

```json
{
  "role_maps": true,
  "widths": true,
  "different_offsets": true
}
```

## Closed utc

2026-09-28T00:26:59.896707+00:00

## Record provenance

Exact record hash: `5df10b9fe661732fdb6dc7df56f5b39fbb20d90fbaead9f133681c3d40d70592`

Source journal: `Research_Cycles/C0532_C0631/journal.json`