# C651 — Consolidate the rail and refinement families

## Question

What is the shortest supported explanation after the first20 steps?

## Inputs

```json
{
  "families": [
    "calendar rails",
    "five-position Creation–Terah refinement",
    "coarse Jacob/Joseph rails"
  ],
  "scope": "source-conditioned geometry"
}
```

## Sources

```json
[
  "C632–C650",
  "Research Strategy"
]
```

## Opened utc

2026-09-28T01:05:24.402267+00:00

## Results

```json
{
  "artifact": {
    "path": "deliverables/C651_Interim_Synthesis.md",
    "sha256": "ff98f9808fb24b7648ba2eeb7f8e0a1a23508c84f34e2dae154bb7f095f750ab",
    "bytes": 1119
  },
  "completed_range": [
    632,
    651
  ],
  "core_rules": [
    "Dij=T+7(j−i)",
    "R(c,u)=c+u(7,1,0,−6,−7)",
    "T=2366+32760q"
  ]
}
```

## Finding

Twenty sequential steps now explain two whole-family generators and distinguish their inherited shapes from the source-selected placements. Further scalar boundary searches are lower priority than the prepared reflection and cumulative families.

## Reassessment

Reconstruct the source’s Jacob-centered reflection as a complete event-role object.

## Checks

```json
{
  "range": true,
  "calendar": true,
  "refinement": true
}
```

## Closed utc

2026-09-28T01:05:24.402497+00:00

## Record provenance

Exact record hash: `45e5a551cfa6f6c155c1c4932f71c7c08997ccbf79e0d2110994f1269d2d9e77`

Source journal: `Research_Cycles/C0632_C0731/journal.json`