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
Ihara zeta function for graphs: non-backtracking walks, prime cycles, and spectral analysis via det(I - uB).
Two Fokker-Plancks per staging gate, conditioned on (rama OR goblins)
Möbius inversion for Gay.jl color duality - closes sparsification spine gap
Riehl-Shulman covariant fibrations for dependent types over directed
Translate programming concepts to biological parallels using real ontology terms from EBI OLS.
Harmonic centrality gadgets with GF(3) conservation for topological transport of ablative case structure via abelian extensions of ℚ
Sheaf neural network coordination via graph Laplacians for distributed
Use when user wants to set up slime mold exploration strategy with parallel autonomy branches for genetic algorithm approach to problem-solving
Verify Strong Parallelism Invariance (SPI) and GF(3) conservation for 3-way color streams with arbitrary precision.
GF(3) → {Tactile, Auditory, Haptic} universal bridge for accessible color perception
Moth's Actias quantum synth for qubit sonification with Bloch sphere visualization and MIDI control
Bridge to PKG systems (Mem0, Graphiti, Solid PODs, Logseq) for individuated information indices
Finds and quantifies redundant content in QMD files - repeated equations, duplicate sections, similar paragraphs, and structural redundancy.
Sussman/Radul propagator networks for constraint propagation and bidirectional
Guide cyber threat intelligence analysts through the Diamond Model framework and Structured Analytic Techniques (SATs) from Heuer. Use when analysts need help with: (1) Organizing attack data using the Diamond Model, (2) Attribution analysis, (3) Malware clustering and threat actor identification, (4) Campaign analysis and activity threading, (5) Influence operation detection, (6) Challenging assumptions in threat analysis, (7) Evaluating competing hypotheses, or (8) Any situation requiring systematic, structured analysis of cyber threat intelligence. Provides Socratic guidance through analysis without performing it.
Quantum computer music composition and performance using quantum circuits, ZX-calculus notation, and quantum instruments
Robustness of qualitative dynamics under perturbation
Coecke's Quantum Guitar: quantising guitar strings via qubit association, ZX-calculus notation, Moth Actias synth integration
Von Holst reafference and corollary discharge for behavioral verification and signal processing
