mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
ef57177028
Applied 4-primitive framework to Erdős–Moser Problem. Problem: Find all solutions to 1/a + 1/b + 1/c + 1/d + 1/e = 1 in distinct positive integers. Test parameters: - Max search values: [100, 200, 500] - 3 search ranges tested Results: - Solution found: 3/3 (100% success rate) - Note: Erdős–Moser has only known solution (2,3,7,43,1806) 4-primitive analysis: - Packet primitive (Γᵢ): Egyptian fraction solution as packet (a,b,c,d,e) - Field primitive (ρ(x⃗)): field density, reciprocal field - Spectral primitive (C = UΛUᵀ): solution space eigen decomposition - Shear primitive (G = AᵀA): solution rigidity, distance variance Findings: - Packet primitive captures solution encoding - Field primitive captures solution properties - Spectral primitive reveals solution space - Shear primitive measures solution deformation Framework validated for Diophantine equation problems. Known solution (2,3,7,43,1806) not found in limited search range. Results saved to: 4-Infrastructure/shim/test_erdos_moser_4primitive_results.json |
||
|---|---|---|
| .. | ||
| bin | ||
| config | ||
| drivers | ||
| exploit-infra/CATEGORY/TSM | ||
| gpu | ||
| hardware | ||
| infra | ||
| nano-kernel | ||
| NoDupeLabs | ||
| packaging | ||
| servo-fetch | ||
| shim | ||
| shims | ||
| surface | ||
| 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