| --- |
| license: mit |
| task_categories: |
| - other |
| language: |
| - en |
| - mr |
| tags: |
| - coordinates |
| - geometry |
| - vedic |
| - multiverse |
| - hypersphere |
| - orthogonal |
| - rotation-matrices |
| - neural-geometry |
| - 3d |
| - 8d |
| - 16d |
| - 32d |
| - 64d |
| pretty_name: Multiverse Field Coordinates |
| size_categories: |
| - 100M<n<1B |
| --- |
| |
| # Multiverse-field-coordinates |
|
|
| **Vedic Neural Geometry – Multiverse Field Dataset** |
|
|
| एक सार्वत्रिक, शुद्ध-संख्यात्मक, बहुआयामी कॉऑर्डिनेट सिस्टीम. |
| ओलंपिक मैदानाप्रमाणे **एकच मैदान** — ज्यातून वेगवेगळ्या विषयांवर कॉऑर्डिनेशन / mapping करता येते. |
|
|
| ## Core Concept |
|
|
| - **केंद्र (Bindu / Brahma)**: सर्व आयामांमध्ये केंद्रबिंदू |
| - **Angular Grid**: 0° ते 360° (1° स्टेप) |
| - **ID**: 1 ते 108 (108 Divisions) |
| - **Layers (Avaran)**: 7 थर |
| - **Dimensions**: 3D, 8D, 16D, 32D, 64D |
| - **Math Engine**: Orthogonal bases + Rotation matrices |
| - **Complementary**: 0° आणि 180° exact opposite (जसे RGB ↔ CMY) |
|
|
| ## Dataset Structure |
| data/ |
| ├── layer_01/ |
| │ ├── coords_3d.csv |
| │ ├── coords_8d.csv |
| │ ├── coords_16d.csv |
| │ ├── coords_32d.csv |
| │ └── coords_64d.csv |
| ├── layer_02/ |
| │ └── ... (same) |
| ... |
| └── layer_07/ |
| └── ... (same) |
| |
| ### CSV Format |
|
|
| - पहिला कॉलम: `ID` (1–108) |
| - बाकी कॉलम: `0` ते `360` (अंश) |
| - प्रत्येक सेल: comma-separated vector |
| उदाहरण (3D): `0.123456,-0.234567,0.890123` |
|
|
| ## Mathematical Foundation |
|
|
| 1. प्रत्येक ID साठी deterministic orthogonal matrix (QR decomposition) |
| 2. कोन θ नुसार unit hypersphere वर base point |
| 3. Orthogonal matrix ने rotate |
| 4. Layer नुसार radius scaling |
| 5. 0° ↔ 180° = exact complementary (negative vector) |
|
|
| ## Intended Use |
|
|
| - Multi-dimensional embedding / coordinate systems |
| - Geometric neural networks |
| - Symbolic / Vedic geometry experiments |
| - Universal mapping field for different domains |
| - Research on orthogonal and rotational structures |
|
|
| ## Generation |
|
|
| Generated using pure NumPy with: |
| - Orthogonal frames via QR |
| - Hyperspherical coordinates |
| - Layer-wise radial scaling |
|
|
| ## Citation |
| @dataset{multiverse_field_coordinates, |
| author = {kalpesh77}, |
| title = {Multiverse Field Coordinates – Vedic Neural Geometry}, |
| year = {2025}, |
| url = {https://huggingface.co/datasets/kalpesh77/Multiverse-field-coordinates} |
| } |
|
|
| ## License |
|
|
| MIT |
|
|
