# 📐  L2 Spec — Quantum Tunneling Through Barriers Mismatch-Only Spec

**ID:** `L2-315-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-315`](/artifact/l1/L1-315)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554082

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| V0 ev | — | 0.01 – 10 |
| N layers | — | 1 – 100 |
| Width nm | nm | 0.5 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.05 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`a9fb7a3221a423c1731238f7afdae23eaa7d98680f87f39e316807e8e22ed4a0`

## 5. On-chain Registration

- **Chain hash:** `0x0bafbdac8eec7337f5353790a1188c9a3351b3c11ef6994f3ec29848eba37f20`
- **Chain tx hash:** `0x76d9d10b5c88a816b4bdeb1463dbe65cb9cd7051802ab03a47e4688e792dc848`
- **Chain block:** `41554082`

---

## File Mapping

This bundle consists of: `L2-315-001.md`, `L2-315-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-315-001.md` | Source of truth — edit this | Human or LLM |
| `L2-315-001.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 `L2-315-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._