# 📐  L2 Spec — Forward Dynamics — Nominal + Mismatch Specs

**ID:** `L2-448-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-448`](/artifact/l1/L1-448)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.22 · **Delta tier:** 5
> **⛓ On-chain block:** 41555263

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N joints | — | 2 – 10 |
| Total mass kg | kg | 0.5 – 1000 |
| Simulation time s | s | 0.1 – 100 |
| Friction coefficient | — | 0.0 – 1.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.5 + 0.5 * friction_coefficient
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.22 |
| Delta tier | 5 |

## 4. Fingerprint

`400bbfae68217b8198a01f30a5ba22c8c633a04179a3e3065972b516d95702ed`

## 5. On-chain Registration

- **Chain hash:** `0x11aacba423aa71c24263061a4285e05675c0ad9d21a742884e90ca8dffc58610`
- **Chain tx hash:** `0xb86e34c450beef9b2b28b566ba0dee8e5ac9756558750506ee5394757599ac1c`
- **Chain block:** `41555263`

---

## File Mapping

This bundle consists of: `L2-448-001.md`, `L2-448-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-448-001.md` | Source of truth — edit this | Human or LLM |
| `L2-448-001.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 `L2-448-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._