# C970 — Two baselines share one projection

## Question

Does the main LXX lifespan ledger lead to the same capped SP field?

## Inputs

```json
{}
```

## Sources

```json
[
  "C953",
  "C955",
  "C956",
  "File18 §4 mainLXX182/753"
]
```

## Opened utc

2026-09-28T03:49:11.374822+00:00

## Results

```json
{
  "main_LXX_output": [
    930,
    912,
    905,
    910,
    895,
    847,
    365,
    720,
    653
  ],
  "MT_reduction": 488,
  "main_LXX_reduction": 464,
  "erased_baseline_difference": 24
}
```

## Finding

The main LXX baseline also projects to the same SP lives. The cap erases the777/753 difference, so this mechanism cannot identify MT versus LXX historical priority.

## Reassessment

Express the forward and inverse descriptions as alternative coordinate choices.

## Checks

```json
{
  "same_output": true,
  "reductions": true,
  "main_value": true
}
```

## Closed utc

2026-09-28T03:49:11.375174+00:00

## Record provenance

Exact record hash: `a9fed537768bf29d2baab8122449c7ab0c019035f519be095c381f766388c3db`

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