L1 ⚛ L1-912 ◆ Frontier — not yet benchmarked

Dark Matter — Galactic Rotation & Halo Profile

Astrophysics · Dark Matter Halos

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Introduction

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Open frontier — governing equation defined, not yet benchmarked. Help build the digital twin or first benchmark and earn PWM.

Dark Matter — Galactic Rotation & Halo Profile (Dark Matter Halos) is a problem in Astrophysics. The forward model maps the hidden the unknown quantity to a measurement. The inverse goal is to recover the the unknown quantity from the observed data.

Governing Equation

Circular velocity v(r)=√(G·M(r)/r) with an NFW halo ρ(r)=ρ_s/[(r/r_s)(1+r/r_s)²]; infer halo parameters from rotation curves.
Astrophysics L_DAG rotcurve chi2

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Digital Twins

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Each digital twin (L2) is a concrete instantiation of this principle's forward operator with a specific Ω parameter space. Benchmarks (L3) are seeded from each twin.

# Digital Twin ID
1 Halo-Profile Inference Twin L2-912

Contents

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On-Chain Artifact Registry

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Principle — Dark Matter — Galactic Rotation & Halo Profile L1-912 Testnet

PWM Registry — Principle #912

Dark Matter — Galactic Rotation & Halo Profile  ·  P = (E, G, W, C)

E

Forward Model

Circular velocity v(r)=√(G·M(r)/r) with an NFW halo ρ(r)=ρ_s/[(r/r_s)(1+r/r_s)²]; infer halo parameters from rotation curves.

Sensing: —

Carrier: —

Problem class: —

Recover: —

Noise model: —

G

DAG Decomposition — G = (V, A)

L_DAG:

W

Well-Posedness Certificate

Existence

—

Uniqueness

—

Stability

—

C

Error-Bounding Methodology

Primary: rotcurve chi2

Hardness function: grand_challenge

📝 Markdown source — L1-912.md

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Layer template

⬇ principle.md ⬇ principle.json

Fork L1-912

⬇ L1-912.md ⬇ L1-912.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-912 (Dark Matter — Galactic Rotation & Halo Profile) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-912.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-912.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]