# 📐 L2 Spec — Thermoelasticity — coupled thermal-mechanical Mismatch-Only Spec
**ID:** `L2-228-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-228`](/artifact/l1/L1-228)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554025
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N dof | — | 100 – 1000000 |
| Snr db | dB | 0 – 40 |
| E error | — | 0.0 – 0.1 |
| N times | — | 10 – 100000 |
| K error | — | 0.0 – 0.1 |
| Alpha t error | — | 0.0 – 0.1 |
## 2. Tolerance (ε)
**Type:** `fn`
```
19.0 + 0.3*SNR_dB - 30.0*alpha_T_error - 25.0*k_error - 25.0*E_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`f1b86a9940ca7f5ea7c155204cd92bc83b5ebc5da12290d955c24c6cc097fe02`
## 5. On-chain Registration
- **Chain hash:** `0x5399b0a9174e69984460514e7d324fe63b1e0cea1f050487476da085eecdb39f`
- **Chain tx hash:** `0x5fc7e298b58a07017a826cc227da2ecae26847736b32745f04a4943345d0e9c7`
- **Chain block:** `41554025`
---
## File Mapping
This bundle consists of: `L2-228-001.md`, `L2-228-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-228-001.md` | Source of truth — edit this | Human or LLM |
| `L2-228-001.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 `L2-228-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._