# 📐  L2 Spec — Frictional Contact — Coulomb / state-rate friction Mismatch-Only Spec

**ID:** `L2-226-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-226`](/artifact/l1/L1-226)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554024

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N dof | — | 100 – 1000000 |
| N inc | — | 10 – 10000 |
| Snr db | dB | 0 – 40 |
| Mu error | — | 0.0 – 0.2 |
| Mesh error | — | 0.0 – 0.1 |
| State param error | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
17.0 + 0.3*SNR_dB - 15.0*mu_error - 10.0*state_param_error - 25.0*mesh_error
```

## 3. Difficulty

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

## 4. Fingerprint

`9358d2358861bbfdc96d6c7876775be7ccdbef8eac0bf1abc4f9fb40f9420556`

## 5. On-chain Registration

- **Chain hash:** `0xe698e4c7d98cd4ebada201e2c000b18a0b3cc23c62bcfc539f24f3c4cd14f5bf`
- **Chain tx hash:** `0x7145e02e2a0596799f9ae42fcf035ba2389c44470c91aa3b16842572403443d4`
- **Chain block:** `41554024`

---

## File Mapping

This bundle consists of: `L2-226-001.md`, `L2-226-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-226-001.md` | Source of truth — edit this | Human or LLM |
| `L2-226-001.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 `L2-226-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._