# 📐  L2 Spec — Hydrodynamic Semiconductor Transport Mismatch-Only Spec

**ID:** `L2-489-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-489`](/artifact/l1/L1-489)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554143

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 77 – 500 |
| Vds | — | 0.1 – 5.0 |
| Mesh n | N | 64 – 1024 |
| N d cm3 | — | 1000000000000000.0 – 100000000000000000000 |
| L channel nm | nm | 5 – 500 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.035 + 0.01*Vds + 0.002*abs(log10(N_D_cm3/1e18))
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`79d12e4a4353fa5b849c89ec5860dde80bc79880879552bf6eff69b8ac08a481`

## 5. On-chain Registration

- **Chain hash:** `0xb5363fdad8c980dbf878fb4d20568a2ef766c3f71b76e0c124c0eeb475696fde`
- **Chain tx hash:** `0xa02d4027318dc284b04516fa324afe05087ae904694f4d0ebdc5b3b6655716eb`
- **Chain block:** `41554143`

---

## File Mapping

This bundle consists of: `L2-489-001.md`, `L2-489-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-489-001.md` | Source of truth — edit this | Human or LLM |
| `L2-489-001.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 `L2-489-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._