# C542 — The23 death gap has a local biographical cause

## Question

Can the consecutive12/13 Covenant coefficients be explained without assuming their death gap independently?

## Inputs

```json
{
  "Levi_life": 137,
  "Joseph_life": 110,
  "births": [
    1704,
    1700
  ],
  "Covenant": 1866
}
```

## Sources

```json
[
  "File60 §§6.1,6.6"
]
```

## Opened utc

2026-09-28T00:03:18.735686+00:00

## Results

```json
{
  "lifespan_difference": 27,
  "birth_offset": 4,
  "death_offset": 23,
  "death_dates": [
    1590,
    1567
  ],
  "Covenant_coefficients": [
    12,
    13
  ]
}
```

## Finding

The23-year death separation is27−4: the lifespan difference minus the birth offset. Hence the consecutive coefficients12 and13 share a local source mechanism. The absolute12 placement still depends on the supplied Covenant and Joseph dates.

## Reassessment

Reconstruct the larger300/500 terminal sequence from those generated and historical nodes.

## Checks

```json
{
  "local": true,
  "coefficients": true
}
```

## Closed utc

2026-09-28T00:03:18.735848+00:00

## Record provenance

Exact record hash: `2804237dab8244c93356f0e60bada45bc2d69669e874eba831e3db45b2f66a50`

Source journal: `Research_Cycles/C0532_C0631/journal.json`