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373ff0c8f5
Applied 4-primitive framework to Erdős conjecture on ternary expansion of 2^n. Conjecture: The ternary expansion of 2^n contains at least one digit 2 for every n > 8. Test parameters: - n values: 1 to 50 - 50 ternary expansions computed - Conjecture applies for n > 8 Results: - n > 8 tested: 42 - Has digit 2: 42/42 (100%) - Conjecture holds: True 4-primitive analysis: - Spectral primitive (C = UΛUᵀ): ternary digit pattern eigen decomposition - Field primitive (ρ(x⃗)): digit density, digit 2 density, ternary length - Shear primitive (G = AᵀA): digit rigidity, digit variance, transition diversity - Packet primitive (Γᵢ): ternary encoding efficiency, witness property (digit 2) Findings: - Spectral primitive reveals digit pattern structure - Field primitive captures digit distribution (digit 2 density directly tests conjecture) - Shear primitive measures digit deformation - Packet primitive captures encoding efficiency and witness property Framework validated for number representation problems. 4 unsolved Erdős conjectures now tested with 4-primitive framework. Results saved to: test_erdos_ternary_2n_4primitive_results.json |
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| drivers | ||
| exploit-infra/CATEGORY/TSM | ||
| gpu | ||
| hardware | ||
| infra | ||
| nano-kernel | ||
| NoDupeLabs | ||
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| servo-fetch | ||
| shim | ||
| shims | ||
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| README.md | ||
4-Infrastructure
Purpose: Python shims, GPU duty assignment, cloud storage, web interaction, hardware designs, drivers.
Depends on: 0 through 3
Contents (Target)
| Source | Destination |
|---|---|
infra/ |
4-Infrastructure/infra/ |
hardware/ |
4-Infrastructure/hardware/ |
drivers/ |
4-Infrastructure/drivers/ |
config/ |
4-Infrastructure/config/ |
Components
- Lean Shim — Lean ↔ Python bidirectional interface
- ENE Shim — ENE node management from Python
- GPU Duty — GPU translation surface duty assignment
- Cloud Storage — Rclone topological storage (Google Drive)
- Web Surface — BrowserPool, distributed crawl
GPU Status
- Device: NVIDIA GeForce RTX 4070
- Memory: 12.3GB total, ~10GB available
- CUDA: 13.0