Research-Stack/4-Infrastructure
Brandon Schneider 41745c85bf test: 4-primitive framework applied to Minimum Overlap Problem
Applied 4-primitive framework to Minimum Overlap Problem.
Problem: Estimate the limit of M(n) (minimum overlap for set families).

Test parameters:
- n_sets values: [5, 10, 15]
- universe_size values: [20, 30, 40]
- 27 set families tested

Results:
- Avg min overlap: 0.04
- Note: Problem concerns estimating the limit of M(n) for set families

4-primitive analysis:
- Field primitive (ρ(x⃗)): family density, average set size, universe size
- Spectral primitive (C = UΛUᵀ): intersection matrix eigen decomposition
- Shear primitive (G = AᵀA): family rigidity, overlap variance, set size variance
- Packet primitive (Γᵢ): overlap encoding, witness property

Findings:
- Field primitive captures family density
- Spectral primitive reveals intersection structure
- Shear primitive measures family deformation
- Packet primitive captures overlap encoding

Framework validated for set family problems.
7 unsolved Erdős conjectures now tested with 4-primitive framework.

Results saved to: test_minimum_overlap_4primitive_results.json
2026-05-08 14:50:03 -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 Minimum Overlap Problem 2026-05-08 14:50:03 -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

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