# 📐  L2 Spec — Rigid Body Dynamics Simulation — Nominal + Mismatch Specs

**ID:** `L2-451-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-451`](/artifact/l1/L1-451)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.2 · **Delta tier:** 5
> **⛓ On-chain block:** 41555281

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Mass kg | kg | 0.01 – 1000 |
| Integration dt ms | ms | 0.01 – 10.0 |
| Inertia ratio j1 j3 | — | 0.5 – 10.0 |
| Simulation duration s | s | 0.1 – 1000 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.01 + 0.04 * (integration_dt_ms / 1.0) ** 2
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.2 |
| Delta tier | 5 |

## 4. Fingerprint

`a51c4486577e82781011ca15e92f742b528803cbf47b2379fe0e6b06c01c4f87`

## 5. On-chain Registration

- **Chain hash:** `0x8a3b39d22a24886cc9d569fce0de5175756aac16ac1bb95b70d5631c10ba6fba`
- **Chain tx hash:** `0x62596187596968ec3046ded7dbcdf6ab2f44621af0841204657f7b79000e83dc`
- **Chain block:** `41555281`

---

## File Mapping

This bundle consists of: `L2-451-001.md`, `L2-451-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-451-001.md` | Source of truth — edit this | Human or LLM |
| `L2-451-001.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 `L2-451-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._