# C1136 — Bound the residual age freedom by the whole cap

## Question

Do positivity and all nine cap inequalities identify the shared age scale?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1134–C1135",
  "File18 §3.1.3"
]
```

## Opened utc

2026-09-28T04:59:16.095938+00:00

## Results

```json
{
  "inequality_model": {
    "path": "model/SP_age_cap_inequalities.json",
    "sha256": "3bc99eb9d464d5649ce7756d19131a50985dbb4272fa69301647bc5b2bbbee5e",
    "bytes": 980
  },
  "integer_scale_range": [
    48,
    126
  ]
}
```

## Finding

The full cap permits a broad positive-age scale interval; explicit alternatives at48 and126 retain every capped lifespan. Its source value65 needs additional information.

## Reassessment

Test the source-motivated five-year grid and observed early-age order with65 retained.

## Checks

```json
{
  "all_positive": true,
  "same_nine_outputs": true,
  "bounds_witnessed": true
}
```

## Closed utc

2026-09-28T04:59:16.096334+00:00

## Record provenance

Exact record hash: `254450843608614814d7abfc56d2ac74743931bae98a70746a904053f0d2d435`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`