ducklake-walk
Ergodic random walks over DuckLake lakehouses with GF(3) triadic concurrent walkers. Society-of-mind coordination for schema exploration.
Ergodic random walks over DuckLake lakehouses with GF(3) triadic concurrent walkers. Society-of-mind coordination for schema exploration.
Layer 7: Interperspectival Network Analysis and Influence Flow
3-MATCH gadgets and non-backtracking geodesics for 3-SAT via colored subgraph isomorphism.
Non-orientable topological filtering that eliminates self-revisiting paths
3-MATCH colored subgraph isomorphism gadget for 3-SAT reduction
QUIC channel quality grading with BBRv3 congestion control analysis. Classifies network paths into GF(3) tiers based on RTT, bandwidth, loss, and pacing efficiency. Integrates with Iroh P2P and world-letter cross-predictions.
3 parallel agents explore codebase improvements via GF(3) balanced prime geodesics
Čech cohomology for local-to-global consistency verification in code
Hedges' 4-kind lattice for bidirectional programming - covariant/contravariant/invariant/bivariant types with GF(3) correspondence
ACSets (Attributed C-Sets): Algebraic databases with Specter-style bidirectional
Compare data structures (DuckDB, LanceDB) via ACSets with persistent homology coverage analysis and geometric morphism translation.
Dynamic structures via polynomial functor arrangements from Topos Institute
Ramanujan graphs and Alon-Boppana spectral optimality for edge growth
Propagator-based parallel structure for exploiting knowledge differentials
Waddington's epigenetic landscape: cell fate as gradient flow on potential surfaces, connecting developmental biology to dynamical systems, Schrödinger bridges, and fractional diffusion
Interleave three deterministic color streams into balanced schedules
Play/Coplay arena theory for autopoietic closure with GF(3) conservation
Homotopical approach to Artificial Life where 'life' is the topology of changes (diffs). Three orthogonal directions: Behavioral (→), Structural (↓), Bridge (↘) with Narya interaction-time verification.
Cross-agent session database with B3 Poset and Bumpus sheaves