# ⚛  L1 Principle — Combustion Chemistry and Ignition Kinetics

**ID:** `L1-301` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Computational Chemistry — *Detailed reaction mechanism*
> **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** species temperature trajectory
> **📡 Carrier:** none · **🌫 Noise:** gaussian
> **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554114

---

## 🧠 1. Introduction

**Combustion Chemistry and Ignition Kinetics** is a **nonlinear inverse problem** whose unknown lives in **species temperature trajectory** space, within the **Detailed reaction mechanism** sub-domain of **Computational Chemistry**.

Measurements consist of none via a **flame diagnostics** sensing mechanism.

The forward operator applies, in order: E · detailed mechanism operator; E · energy balance operator; D · time · implicit operator; O · ignition delay operator.

Observations are corrupted by additive Gaussian noise. Well-posed; inversion of rate constants from ignition-delay + flame-speed is under-constrained.

## ⚙ 2. Forward Model

Physical chain: **x** → E · detailed mechanism → E · energy balance → D · time · implicit → O · ignition delay → **y** (detector).

```
y = `O.ignition_delay` `D.time.implicit` `E.energy_balance` `E.detailed_mechanism` x + n,    n ~ 𝒩(0, σ²)
```

**Measurement DAG:**

| Primitive | What it does |
|---|---|
| `E.detailed_mechanism` | E · detailed mechanism operator |
| `E.energy_balance` | E · energy balance operator |
| `D.time.implicit` | D · time · implicit operator |
| `O.ignition_delay` | O · ignition delay operator |

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Computational Chemistry |
| Sub domain | Detailed reaction mechanism |
| Carrier | none |
| Problem class | nonlinear_inverse |
| Solution space | species_temperature_trajectory |
| Noise model | gaussian |
| Integration axis | time |
| Difficulty delta | 5 |
| L dag | 3.5 |

## 📡 4. Measurement Model

Well-posed; inversion of rate constants from ignition-delay + flame-speed is under-constrained.

| Metric | Value |
|---|---|
| Metric | ignition_delay_log_error |
| Secondary | flame_speed_cm_s_error |

## 📏 5. Operating Range (Ω)

**Center problem class:** `combustion_chemistry` · **Forward operator:** `combustion_mech_forward`

**Center point:**

| Parameter | Unit | Value |
|---|---|---|
| T k | — | 1200 |
| P atm | — | 1 |
| N species | — | 50 |
| Phi equiv | — | 1 |
| N reactions | — | 300 |

**Allowed bounds:**

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 500 – 3000 |
| P atm | — | 0.1 – 100 |
| N species | — | 10 – 3000 |
| Phi equiv | — | 0.3 – 3.0 |
| N reactions | — | 30 – 30000 |

## 🎯 6. Tolerance (ε)

**Center tolerance:** log10(tau_ign) <= 0.1

| Metric | Range |
|---|---|
| Ignition delay log error | 0.05 – 1.5 |

## ⚖ 7. Hardness Function

Hardness scales as **`epsilon_fn`** on **ignition_delay_log_error**, with κ = `400` and δ = `5`.

## 💾 8. Reference Dataset

- **primary** · weight 1.0 · IPFS _(not pinned yet)_

## 9. On-chain Registration

- **Chain hash:** `0x575830f5700098cf3db597e1aac0b8817fcd91b549d8e8845d228f8ed72e745a`
- **Chain tx hash:** `0x21e1863d6af76848a410357d9ee09f52ffc303d47555a2be7ceabf7e9a86998e`
- **Chain block:** `41554114`

---

## File Mapping

This bundle consists of: `L1-301.md`, `L1-301.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-301.md` | Source of truth — edit this | Human or LLM |
| `L1-301.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 `L1-301`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._