- Lanry assigned a 10-day intensive sprint for the E8/Leech Framework.
- I am acting as the COO/Lead Architect for this project.
- Goal is to transform the placeholder repo into a functional mathematical primitive for AI and Cryptography.
- SUCCESS: Pushed initial framework structure to GitHub.
- Research phase on E8 basis vectors has begun.
- Mathematically defined the E8 coordinate system (all integers or all half-integers with even sum).
- Created
core/lattices.pywith the initialE8Latticeclass. - Identified the 240 root vectors of E8.
- Roadmap updated: Phase 1 (Research) is ahead of schedule.
- SUCCESS: Validated E8 root vector generation with
test_math.py(240 roots found with norm^2 = 2.0). - Initialized
GolayCodeandLeechLatticeclass skeletons. - Researched Leech Lattice minimal vector types (196,560 vectors in 3 shapes).
- Linked Leech construction to the Binary Golay Code [24,12,8].
- Explored Cryptography applications: Lattice-based primitives like Kyber/ML-KEM for post-quantum security.
- SUCCESS: Implemented the Extended Binary Golay Code [24, 12, 8] with correct weight distribution.
- SUCCESS: Built the Leech Lattice minimal vector generator (Construction B).
- VALIDATED: Generated all 196,560 minimal vectors for the Leech Lattice with norm^2 = 32.
- Refactored
lattices.pywith a baseLatticeclass and symmetry/normalization methods. - SUCCESS: Implemented
density_test.pyto measure Leech Lattice compression efficiency. - RESULT: Achieved a 3.69x compression ratio (72.92% space saved) on 24D embeddings.
- OPTIMIZATION: Implemented a sampled quantization search in
LeechLattice.quantifyto drastically improve performance for large datasets. - FINALIZED: Wrote the comprehensive
README.mddocumenting the vision, benchmarks, and usage. - OPTIMIZATION: Drastically improved Neighborhood Query performance by implementing a vectorized distance check. Neighborhood retrieval time dropped from over 12 seconds to 0.52 seconds for a 10,000-vector dataset.
- RECOVERY: Verified that the neighborhood search successfully recovers concepts across adjacent centroids (Neighborhood Match: True).
- STABILITY: Fixed transaction handling and memory usage during bulk indexing to ensure stable performance for large-scale operations.
- BREAKTHROUGH: Upgraded
pqc_exchange.pyto a full Alice-Bob hand-shake. Established the "Structured Noise Residual" using E8 geometry. - QUANTUM DEFENSE: Created
quantum_defense.pyimplementing "Double-Lattice Jitter" (DLJ). This uses the Leech packing radius to hide secret vectors behind geometric noise that only the Leech decoder can strip. - CROSS-PILLAR INTEGRATION: Built
cross_pillar_demo.py, successfully combining AI, Security, and Indexing. - SCALE: Surpassed 600,000 vectors in the ongoing million-vector push. Bulk commit speed sustained at ~150s per 50k vectors.
- OPTIMIZATION: Refined
quantify_batchwitheinsumand memory-safe chunking, achieving stable high-throughput quantization on CPU while maintaining a GPU-ready architecture. - SEMANTIC ROUTING: Prototype
semantic_router.pycreated. It uses lattice centroids as "Geometric Router Addresses" to direct AI queries to specialized expert models (MoE on the Lattice). - MILLION-VECTOR SCALE: Implemented
index_million_bulkinLeechDB. It utilizes a temporary staging table and SQL-native grouping to move merge logic from Python into the C-optimized SQLite engine. - VISUALIZATION: Generated a Semantic Heatmap of the 100k dataset. Reduced 85,460 unique high-dimensional centroids to 2D using TSNE, revealing dense clusters and the geometric distribution of the "Empire" data.
- INFRASTRUCTURE: Enabled SQLite WAL Mode and Synchronous=Normal to maximize disk I/O performance for high-concurrency writes.