# C1260 — Separate a shared scaling coefficient from the value five

## Question

What condition permits any common nonzero coefficientκ?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1259"
]
```

## Opened utc

2026-09-28T05:46:45.656980+00:00

## Results

```json
{
  "common_coefficient": {
    "path": "model/regular_kernel_common_coefficient.json",
    "sha256": "15e4ece10cca099ee802d18df1a9385606604314efc2998858552a45c5008aca",
    "bytes": 450
  },
  "source_kappa": 5
}
```

## Finding

A common coefficient requires the ratio6C=13T. The specific valuefive additionally calibratesC to the centuryu. This distinguishes a shared structural ratio from its observed numerical scale.

## Reassessment

Relate thepair’s midpoint andhalfwidth to itsNoah950 comparison without adding independentconstraints.

## Checks

```json
{
  "compatibility": true,
  "kappa5": true,
  "both_heads": true
}
```

## Closed utc

2026-09-28T05:46:45.657482+00:00

## Record provenance

Exact record hash: `da6a9f4711f4dc3d8300fe6296ee8a3cef63f4fdf704c5f88dd36fed80fe03e5`

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