Topological Superintelligence (TSI)
Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.
Core Principle
Every operation balances trits {-1, 0, +1}:
inject(+1) + bridge(0) + emit(-1) ≡ 0 (mod 3)
Tripartite Agent Architecture
| Agent | Trit | Role | Color |
|---|---|---|---|
| PLUS | +1 | Generation, creation, synthesis | #FF6B6B |
| ERGODIC | 0 | Coordination, balance, infrastructure | #4ECDC4 |
| MINUS | -1 | Verification, validation, analysis | #45B7D1 |
Skill Categories
PLUS Skills (+1)
gay-mcp- Deterministic color generation with SplitMix64triad-interleave- Balanced schedule interleavingworld-hopping- Badiou-inspired world navigationcrdt-vterm- Collaborative terminal sharingagent-o-rama- Learning and pattern extraction
ERGODIC Skills (0)
skill-dispatch- GF(3) triadic task routingunwiring-arena- Autopoietic closureacsets-algebraic-databases- Category-theoretic dataautopoiesis- Self-modifying agent configurationcognitive-surrogate- Cognitive modelingentropy-sequencer- Information gain optimization
MINUS Skills (-1)
bisimulation-game- Attacker/Defender verificationspi-parallel-verify- Strong Parallelism Invariancebafishka- Shell operations verificationinfluence-propagation- Network analysis
Mathematical Foundation
The bicomodule framework:
c (Control/Semantics) ← High-level reasoning
↕ σ (effect handler)
m (Interface/State) ← Middle layer
↕ ε (counit), δ (comult)
d (Data/Matter) ← Low-level execution
Key law: ε ∘ δ = id (interpretability criterion)
Usage
Install via Claude Code marketplace:
claude plugin marketplace add plurigrid/asi
claude plugin install plurigrid@asi
Strong Parallelism Invariance (SPI)
Canonical seed: 0xf061ebbc2ca74d78
Same seed produces identical sequences across all implementations (15+ languages verified).