# C948 — Weight as a consequence of gains

## Question

How does the 4:1 coefficient relate to the two aggregate reversal gains?

## Inputs

```json
{
  "regular_total": 2700,
  "cumulative_total": 12600,
  "common_reverse": 10620,
  "state_shifts": [
    -2,
    8
  ]
}
```

## Sources

```json
[
  "C935",
  "C936",
  "C937",
  "C947"
]
```

## Opened utc

2026-09-28T03:43:37.221584+00:00

## Results

```json
{
  "regular_gain": 7920,
  "cumulative_loss": 1980,
  "gain_to_loss": 4,
  "cumulative_weight_from_gains": "4/5",
  "from_state_shifts": "4/5"
}
```

## Finding

The convergent inverse radius implies the same 4:1 weight that preserves the selected Actual–Rounded shifts. Their equality is a compatibility statement; neither derivation licenses counting the weight again as a fresh independent observation.

## Reassessment

Write a reduced premise ledger before moving into the new whole-family test.

## Checks

```json
{
  "gains": true,
  "ratio": true,
  "weights_agree": true
}
```

## Closed utc

2026-09-28T03:43:37.221777+00:00

## Record provenance

Exact record hash: `e4cb3315460d885d67899fc006da2056cfbf47fac866a71a1bebf2ea12fd9ab0`

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