# 📐 L2 Spec — Time-Dependent Schrödinger Equation Mismatch-Only Spec
**ID:** `L2-313-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-313`](/artifact/l1/L1-313)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554082
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N grid | — | 256 – 1048576 |
| T end fs | — | 0.1 – 1000000.0 |
| Lambda nm | nm | 50 – 10000 |
| N electrons | — | 1 – 1000 |
| I laser w cm2 | — | 10000000000.0 – 100000000000000000000 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.015 * (1 + 0.1 * mismatch_severity)
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |
## 4. Fingerprint
`b89a5f5050574198b52dbb45caca5531880eeb36421bb029257cfad656383264`
## 5. On-chain Registration
- **Chain hash:** `0xa6b8daef352859c47ece1b7941e84d464b521577032b37de49b1d0ba1e06980b`
- **Chain tx hash:** `0xc64814db1ff101d4dff58ca1153d664e661ce29da00b466e5df04b6b30a0df63`
- **Chain block:** `41554082`
---
## File Mapping
This bundle consists of: `L2-313-001.md`, `L2-313-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-313-001.md` | Source of truth — edit this | Human or LLM |
| `L2-313-001.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 `L2-313-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._