# C502 — Cross-Key coincidence at2926

## Question

Which part of the Jared-E / Noah-P agreement follows from the calendar ratios?

## Inputs

```json
{
  "A": 12026,
  "Jared_radius": 8372,
  "Noah_radius": 8970
}
```

## Sources

```json
[
  "File52c §3.15.3",
  "C500–C501"
]
```

## Opened utc

2026-09-27T22:44:21.365948+00:00

## Results

```json
{
  "E_over_P": "15/14",
  "source_radius_ratio": "15/14",
  "Jared_E_endpoint": 2926,
  "Noah_P_endpoint": 2926,
  "necessary_relation": "D_E,A(x)=D_P,A(y) iff (A-y)/(A-x)=E/P, for nonzero radii"
}
```

## Finding

The equality is forced by the supplied14:15 radius ratio and E/P=15/14. It is one dependent consequence of the calendar calibration and source placement, not an additional freely selected match. The initial coefficient14 remains a source constraint.

## Reassessment

Test which portions of the equal-step field transfer to LXX and SP at the unchanged anchor.

## Checks

```json
{
  "endpoint": true,
  "ratio": true
}
```

## Closed utc

2026-09-27T22:44:21.366314+00:00

## Record provenance

Exact record hash: `2c86a2d97b10041937f8a4ae3964dd1894f039f0ba41304cec7f6aa9b9dae35f`

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