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license: mit |
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# 🕳️ Black Hole Sim — Randomized Dataset (ProCreations) |
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**ProCreations/black-hole-sim-randomized** is a high-fidelity, randomized simulation dataset of relativistic physics near Kerr and Schwarzschild black holes. Designed to train and evaluate AI systems on **general relativity**, **orbital mechanics**, and **spacetime geometry**—without any visual dependencies. |
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## 📦 Dataset Overview |
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- **Samples**: 400,000+ |
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- **Format**: JSON Lines (`.jsonl`) |
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- **Size**: ~583 MB |
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- **Compression**: Optionally `.jsonl.gz` |
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- **Language/Structure**: Pure structured JSON (1 per line) |
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- **Generated on**: Apple Silicon (Metal-accelerated) |
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- **Use cases**: Pretraining, fine-tuning, RAG, reasoning, QA, simulation |
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## ✨ Features per Sample |
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Each sample describes a **single randomly sampled scenario**, containing: |
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### 🕳️ Black Hole |
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- `mass_solar` – In solar masses (randomized log-uniform from 3 to 1e9) |
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- `spin` – Kerr spin parameter `a` (0.0 to 0.998) |
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- `type` – `"Schwarzschild"` or `"Kerr"` |
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### 👁️ Observer |
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- 3D position (`r_km`, `theta_rad`, `phi_rad`) |
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- Orbital velocity vector in spherical coordinates |
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- Orbital angular velocity `omega` |
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### 📐 Metrics (GR & physics) |
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- `time_dilation`, `redshift`, `gamma` |
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- `orbital_period_s`, `frame_dragging`, `extremeness_score` |
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- `metric_tensor` – Full 4x4 Kerr metric in Boyer–Lindquist coordinates |
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- `a_spin_m`, `event_horizon_m`, `delta`, `rho_squared` |
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- Velocity vector + coordinate positions |
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- `horizon_proximity_ratio` (how close the observer is to Rs) |
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### 🧪 Raw Parameters |
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- Ground truth values like `mass_kg`, `radius_m`, `rs_m` |
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--- |
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## 📁 Example |
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```json |
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{ |
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"step": 2, |
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"black_hole": { |
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"mass_solar": 219.051486, |
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"spin": 0.504345, |
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"type": "Kerr" |
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}, |
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"observer": { |
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"r_km": 1600.060345, |
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"theta_rad": 0.624667, |
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"phi_rad": 4.083344, |
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"v_phi_rad_s": 128884.609375 |
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}, |
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"metrics": { |
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"time_dilation": 0.771804, |
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"redshift": 0.295665, |
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"frame_dragging": true, |
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"metric_tensor": [[...]], |
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"horizon_proximity_ratio": 2.654, |
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"gr_metric_type": "Kerr" |
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}, |
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"notes": "Spin=0.504, Time dilation=0.772, Redshift=0.296" |
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} |
