# C680 — Generate the exterior Prophetic opening

## Question

Does converting only the two outer cores recover the supplied2930 ladder?

## Inputs

```json
{
  "native": [
    4326,
    4296,
    3606,
    3576,
    2886,
    2856,
    2166,
    2136,
    1446,
    1416
  ],
  "outer_core_gain": 10
}
```

## Sources

```json
[
  "Supplement A §3.2"
]
```

## Opened utc

2026-09-28T01:12:11.959476+00:00

## Results

```json
{
  "opened_ladder": [
    4336,
    4306,
    3606,
    3576,
    2886,
    2856,
    2166,
    2136,
    1436,
    1406
  ],
  "gaps": [
    30,
    700,
    30,
    690,
    30,
    690,
    30,
    700,
    30
  ],
  "widths": [
    2910,
    2930
  ],
  "centers": [
    2871,
    2871
  ]
}
```

## Finding

Two ten-year core gains produce the complete source2930 ladder while preserving the six inner nodes, every30 flank and midpoint2871. This is selective opening, not P applied to the whole2910 span.

## Reassessment

Add the source’s final five-year boundary displacements and identify the conserved quantity.

## Checks

```json
{
  "source": true,
  "gaps": true,
  "selective": true
}
```

## Closed utc

2026-09-28T01:12:11.959697+00:00

## Record provenance

Exact record hash: `7258bcf80daec442b6b73da230c778d113d247ac031687675dcc1cbde8a0b143`

Source journal: `Research_Cycles/C0632_C0731/journal.json`