# 📐  L2 Spec — Ray Tracing (EM) — wireless propagation model Mismatch-Only Spec

**ID:** `L2-253-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-253`](/artifact/l1/L1-253)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554002

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N rx | — | 1 – 10000 |
| N rays | — | 1000 – 100000000 |
| Snr db | dB | 0 – 40 |
| N walls | — | 1 – 100000 |
| Freq ghz | GHz | 0.1 – 300 |
| Geometry error | — | 0.0 – 0.1 |
| Material eps error | — | 0.0 – 0.3 |
| Antenna pattern error | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1.5 + 5.0*material_eps_error + 10.0*geometry_error + 4.0*antenna_pattern_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`24951b8a27bfeaab9835861375639ded08ebf069730b622f5e68e49216cece25`

## 5. On-chain Registration

- **Chain hash:** `0x16e811c451b3e54ac10082b20b304161f456e4a317dfcdb6901be666cf76ec5a`
- **Chain tx hash:** `0xc2452c0dc539d01f704e18f373482b2c416873791ca0f5a6807f135801ef87a0`
- **Chain block:** `41554002`

---

## File Mapping

This bundle consists of: `L2-253-001.md`, `L2-253-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-253-001.md` | Source of truth — edit this | Human or LLM |
| `L2-253-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-253-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._