# ⚛  L1 Principle — Dark Energy — Cosmic Expansion History w(z)

**ID:** `L1-913` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Cosmology — *Accelerating Universe*

---

## 🧠 1. Introduction

**Dark Energy — Cosmic Expansion History w(z)** is a **inverse problem**, within the **Accelerating Universe** sub-domain of **Cosmology**.

## ⚙ 2. Forward Model

```
H(z)²=H₀²[Ω_m(1+z)³+Ω_DE·exp(3∫₀ᶻ(1+w(z'))/(1+z')dz')]; luminosity distance d_L(z) fits SNe Ia + BAO.
```

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Cosmology |
| Sub domain | Accelerating Universe |

## 📡 4. Measurement Model

| Metric | Value |
|---|---|
| Metric | w_recon_err |

## ⚖ 6. Hardness Function

Hardness scales as **`grand_challenge`** on **w_recon_err**.

## 💾 7. Reference Dataset

- **Pantheon+ Type-Ia supernovae** · weight 0.5 · IPFS _(not pinned yet)_
- **DESI BAO distance measurements** · weight 0.3 · IPFS _(not pinned yet)_
- **Cosmic-chronometer H(z) set** · weight 0.2 · IPFS _(not pinned yet)_

**Staked PWM:** 5000.0

---

## File Mapping

This bundle consists of: `L1-913.md`, `L1-913.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-913.md` | Source of truth — edit this | Human or LLM |
| `L1-913.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 `L1-913`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._