# 📐  L2 Spec — Non-Equilibrium Green's Function (NEGF) Quantum Transport Mismatch-Only Spec

**ID:** `L2-491-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-491`](/artifact/l1/L1-491)

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

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 4 – 400 |
| V bias | — | 0.001 – 2.0 |
| N sites | — | 20 – 5000 |
| N energy | — | 50 – 5000 |
| Scba tol | — | 1e-06 – 0.01 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.03 + 0.01*V_bias + 0.005*log10(N_sites/200)
```

## 3. Difficulty

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

## 4. Fingerprint

`412a1d1af0f3698f32687c0ed608baa22cd434a7810889d0716be86981a938b2`

## 5. On-chain Registration

- **Chain hash:** `0x1c8d4b2c82d751601d5fbb6903dc67f80afe0ae55c6481a826b0e728bb35fd71`
- **Chain tx hash:** `0xe6f99a574b51f7be173729f33aecfd2bfc58349f1fc0932f66ddb0155042012e`
- **Chain block:** `41554143`

---

## File Mapping

This bundle consists of: `L2-491-001.md`, `L2-491-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-491-001.md` | Source of truth — edit this | Human or LLM |
| `L2-491-001.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 `L2-491-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._