# 📐  L2 Spec — Lindblad Master Equation (Open Quantum Systems) Mismatch-Only Spec

**ID:** `L2-324-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-324`](/artifact/l1/L1-324)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554084

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N dim | — | 2 – 1000 |
| T end ns | ns | 0.1 – 1000000.0 |
| Gamma mhz | MHz | 0.0001 – 10000.0 |
| N dissipators | — | 1 – 50 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.03 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`975f85feea1d312054097c00945e4751aab6645c70e9e6b13011a47ad38c6535`

## 5. On-chain Registration

- **Chain hash:** `0xe0ddcdff7c382a36fd282b885e5872abc981214b4f1e93db569e4c14abae744c`
- **Chain tx hash:** `0x9259a48f5208605d4d6d30947e7ec9fb0c27236cb0f39cfac8dad77b8c5245c9`
- **Chain block:** `41554084`

---

## File Mapping

This bundle consists of: `L2-324-001.md`, `L2-324-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-324-001.md` | Source of truth — edit this | Human or LLM |
| `L2-324-001.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 `L2-324-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._