# C520 — The Temple/Moses/backbone junction

## Question

Which supplied equality generates the connected526/476 arrangement?

## Inputs

```json
{
  "BC_pillar": 14726,
  "AD_pillar": 12026,
  "inverse_Temple_BC": 696,
  "inverse_Moses_BC": 1616,
  "reflected_Exodus_AD": 1446,
  "coordinate": "Rounded"
}
```

## Sources

```json
[
  "File52c §§3.8–3.9"
]
```

## Opened utc

2026-09-27T22:50:35.193121+00:00

## Results

```json
{
  "pillar_width": 26750,
  "sum_original_radii": 24610,
  "E_sum_original_radii": 26750,
  "Temple_and_backbone_q": [
    525,
    525
  ],
  "Moses_and_second_backbone_q": [
    -475,
    -475
  ],
  "source_gap": 920,
  "expanded_gap": 1000,
  "forward_reflected_Moses_q": 1525
}
```

## Finding

The first convergence is E(14030+10580)=26750, the declared outer-pillar width. The source920 gap then forces the two476BC routes and the1000+1000 reflected arrangement. These connected consequences share the first junction and are not additional independent trials.

## Reassessment

Separate civil comparisons in the actual field from these rounded Mirror relationships.

## Checks

```json
{
  "first": true,
  "second": true,
  "gap": true,
  "forward": true
}
```

## Closed utc

2026-09-27T22:50:35.193491+00:00

## Record provenance

Exact record hash: `30854011d556e486596f4378bf2fe45bea99fc2116e14e5e2d98874a4a9c4533`

Source journal: `Research_Cycles/C0482_C0531/journal.json`