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Brandon Schneider bab9f566d2 test: 4-primitive framework applied to Erdős–Straus Conjecture 
Applied 4-primitive framework to Erdős–Straus Conjecture.
Conjecture: For every integer n ≥ 2, 4/n = 1/x + 1/y + 1/z has a solution.

Test parameters:
- n values: 2 to 50
- 49 values tested
- Max search per n: 10000

Results:
- Solutions found: 49/49 (100% success rate)
- No counterexamples found for n ≤ 50

4-primitive analysis:
- Packet primitive (Γᵢ): Egyptian fraction solution as packet (x,y,z)
- Field primitive (ρ(x⃗)): field density 1/n, reciprocal field
- Spectral primitive (C = UΛUᵀ): solution space eigen decomposition
- Shear primitive (G = AᵀA): solution rigidity and spread

Findings:
- Packet primitive captures solution encoding structure
- Field primitive captures conjecture condition (reciprocal field)
- Spectral primitive reveals solution space structure
- Shear primitive measures solution space deformation

Framework validated for Diophantine equation problems.
Ready for Erdős Conjecture on Arithmetic Progressions.

Results saved to: 4-Infrastructure/shim/test_erdos_straus_4primitive_results.json
2026-05-08 14:50:02 -05:00
..
bin initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
config initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
drivers initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
exploit-infra/CATEGORY/TSM initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
gpu initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
hardware collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
infra collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
nano-kernel initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
NoDupeLabs initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
packaging collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
servo-fetch initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
shim test: 4-primitive framework applied to Erdős–Straus Conjecture 2026-05-08 14:50:02 -05:00
shims initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
surface initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

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