Update README.md

README.md

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----
-license: mit
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+---
+license: mit
+---
+
+# 🕳️ Black Hole Sim — Randomized Dataset (ProCreations)
+
+**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.
+
+---
+
+## 📦 Dataset Overview
+
+- **Samples**: 400,000+
+- **Format**: JSON Lines (`.jsonl`)
+- **Size**: ~583 MB
+- **Compression**: Optionally `.jsonl.gz`
+- **Language/Structure**: Pure structured JSON (1 per line)
+- **Generated on**: Apple Silicon (Metal-accelerated)
+- **Use cases**: Pretraining, fine-tuning, RAG, reasoning, QA, simulation
+
+---
+
+## ✨ Features per Sample
+
+Each sample describes a **single randomly sampled scenario**, containing:
+
+### 🕳️ Black Hole
+
+- `mass_solar` – In solar masses (randomized log-uniform from 3 to 1e9)
+- `spin` – Kerr spin parameter `a` (0.0 to 0.998)
+- `type` – `"Schwarzschild"` or `"Kerr"`
+
+### 👁️ Observer
+
+- 3D position (`r_km`, `theta_rad`, `phi_rad`)
+- Orbital velocity vector in spherical coordinates
+- Orbital angular velocity `omega`
+
+### 📐 Metrics (GR & physics)
+
+- `time_dilation`, `redshift`, `gamma`
+- `orbital_period_s`, `frame_dragging`, `extremeness_score`
+- `metric_tensor` – Full 4x4 Kerr metric in Boyer–Lindquist coordinates
+- `a_spin_m`, `event_horizon_m`, `delta`, `rho_squared`
+- Velocity vector + coordinate positions
+- `horizon_proximity_ratio` (how close the observer is to Rs)
+
+### 🧪 Raw Parameters
+
+- Ground truth values like `mass_kg`, `radius_m`, `rs_m`
+
+---
+
+## 📁 Example
+
+```json
+{
+  "step": 2,
+  "black_hole": {
+    "mass_solar": 219.051486,
+    "spin": 0.504345,
+    "type": "Kerr"
+  },
+  "observer": {
+    "r_km": 1600.060345,
+    "theta_rad": 0.624667,
+    "phi_rad": 4.083344,
+    "v_phi_rad_s": 128884.609375
+  },
+  "metrics": {
+    "time_dilation": 0.771804,
+    "redshift": 0.295665,
+    "frame_dragging": true,
+    "metric_tensor": [[...]],
+    "horizon_proximity_ratio": 2.654,
+    "gr_metric_type": "Kerr"
+  },
+  "notes": "Spin=0.504, Time dilation=0.772, Redshift=0.296"
+}