# 📐 L2 Spec — Carrier Boltzmann Transport Equation Mismatch-Only Spec
**ID:** `L2-490-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-490`](/artifact/l1/L1-490)
> **🎯 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 |
| N d cm3 | — | 100000000000000.0 – 100000000000000000000 |
| N particles | — | 10000 – 10000000 |
| E field v cm | — | 10 – 1000000.0 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.04 + 0.008*log10(E_field_V_cm/1e4) + 0.002*abs(T_K-300)/10
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |
## 4. Fingerprint
`7bdeabe5b40f8c33ce0aa9702b4ddc485d1615d40ca415ac3c743668b14cb443`
## 5. On-chain Registration
- **Chain hash:** `0x59ea82d48baded453752ceabce9e10905695d2bd2c0edf307fb6e58b24cd4a21`
- **Chain tx hash:** `0x4e83ebf8a4a89c3caa050bc36a64dd3a9d83437c209f0e297a89a1909a26b54c`
- **Chain block:** `41554143`
---
## File Mapping
This bundle consists of: `L2-490-001.md`, `L2-490-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-490-001.md` | Source of truth — edit this | Human or LLM |
| `L2-490-001.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 `L2-490-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._