# 📐  L2 Spec — LED and Laser Rate Equations Mismatch-Only Spec

**ID:** `L2-494-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-494`](/artifact/l1/L1-494)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554144

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 200 – 400 |
| I ma | — | 0.1 – 1000 |
| V um3 | — | 1 – 10000 |
| N tr cm3 | — | 100000000000000000 – 10000000000000000000 |
| Lambda nm | nm | 400 – 1550 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.025 + 0.005*log10(I_mA/10) + 0.002*abs(T_K-298)/10
```

## 3. Difficulty

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

## 4. Fingerprint

`7ae6ca78a1326ff16d4c5d175dc7c35f71caa9405773449ff77c5e2b50de19a8`

## 5. On-chain Registration

- **Chain hash:** `0xd0cf2e42bb5fb724cc2fc52998f4fb8203cb48d3619bf7fbf8e8efa31a7b6ecc`
- **Chain tx hash:** `0x29d05a216a29d0c125b5567f31aad504b4a9242148228db032beaa04885d2275`
- **Chain block:** `41554144`

---

## File Mapping

This bundle consists of: `L2-494-001.md`, `L2-494-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-494-001.md` | Source of truth — edit this | Human or LLM |
| `L2-494-001.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 `L2-494-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._