L1 ⚛ L1-914 ◆ Frontier — not yet benchmarked

Black-Hole Information — Page Curve & Unitarity

Quantum Gravity · Black-Hole Information

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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.

Black-Hole Information — Page Curve & Unitarity is a problem in Quantum Gravity. 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

Fine-grained entropy of Hawking radiation S_rad(t) with the island/QES prescription; unitarity ⇒ Page curve that rises then falls.
Quantum Gravity L_DAG page dev

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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 Radiation-Entropy / Island Twin L2-914

Contents

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On-Chain Artifact Registry

Base Sepolia → Base Mainnet on graduation
L1
Principle — Black-Hole Information — Page Curve & Unitarity L1-914 Testnet

PWM Registry — Principle #914

Black-Hole Information — Page Curve & Unitarity  ·  P = (E, G, W, C)

E

Forward Model

Fine-grained entropy of Hawking radiation S_rad(t) with the island/QES prescription; unitarity ⇒ Page curve that rises then falls.

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: page dev

Hardness function: grand_challenge

📝 Markdown source — L1-914.md

🎁 Contribute & earn PWM

Improve L1-914 — submit with or without uploading. Accepted submissions earn the 1/16 modify share of A(t).

⬆ Submit by uploading your files earn PWM · unlimited

Upload your .md + .json as a modification of L1-914 — the main way to contribute & earn. Unlimited submissions.

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✨ Or try a free one-click check free · 1×

No files, no typing — we submit a check of L1-914 for you once; it goes through review and earns the 1/16 share. One free no-upload Principle per account.

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🛠 Helper: build your files in ChatGPT / Gemini / Claude

Layer template

⬇ principle.md ⬇ principle.json

Fork L1-914

⬇ L1-914.md ⬇ L1-914.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-914 (Black-Hole Information — Page Curve & Unitarity) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-914.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-914.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]