# C947 — A diagnostic against tautology

## Question

Does keeping the original totals and 4:1 weight ensure inverse convergence?

## Inputs

```json
{
  "source_cumulative": [
    9170,
    3430
  ],
  "diagnostic_only": [
    9970,
    2630
  ],
  "regular_total": 2700,
  "anchor": 1406
}
```

## Sources

```json
[
  "C936",
  "C940",
  "C946"
]
```

## Opened utc

2026-09-28T03:43:25.817601+00:00

## Results

```json
{
  "weighted_radius": 10620,
  "source_reverse": 10620,
  "diagnostic_reverse": 11610,
  "diagnostic_reverse_anchor": 13016,
  "status": "unadmitted arithmetic control"
}
```

## Finding

Fixed original totals retain the weighted radius but permit a different inverse branch. The convergence therefore uses an additional register-and-carry condition.

## Reassessment

Derive the weight from the actual aggregate gains and compare its status with the state-shift derivation.

## Checks

```json
{
  "totals_held": true,
  "weight_held": true,
  "inverse_differs": true
}
```

## Closed utc

2026-09-28T03:43:25.817779+00:00

## Record provenance

Exact record hash: `6a880b1af614e0927c57da6c4151f60aca01a3e4ad683b8643f5c6ecfba64d3e`

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