# C1157 — Measure amplitude information retained by whole totals

## Question

Which source parameters disappear when the ordered fields are summed?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1156",
  "C1154"
]
```

## Opened utc

2026-09-28T05:06:35.768282+00:00

## Results

```json
{
  "total_measurements": {
    "path": "model/postflood_total_measurements.json",
    "sha256": "005cfbe0c33d8d6f5d03d6b178ed8e0afbed34a7a74e61b900ddbf64faf729c6",
    "bytes": 303
  },
  "measurement_rows": [
    [
      "13/2",
      0,
      0
    ],
    [
      0,
      -2,
      0
    ],
    [
      4,
      0,
      2
    ]
  ],
  "life_total_rank": 2
}
```

## Finding

The totals are6.5u,−2t and4u+2a. The two lifespan totals have rank2 and cannot separateu froma; LXX’s total also cancels its two opposite t contributions. Ordered rows preserve information absent from their sum.

## Reassessment

Ask whether combining regular and cumulative outer totals recovers the amplitudes under fixed source supports.

## Checks

```json
{
  "source_totals": true,
  "rank2": true,
  "LXX_t_cancels": true
}
```

## Closed utc

2026-09-28T05:06:35.769395+00:00

## Record provenance

Exact record hash: `6a10c0ed74a9fae805423668d389edb8f841662314c1a5634befa12a0db0d494`

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