Non-Associative Knowledge Hypergraphs: Fano-Structured RAG, Irreducible Ternary Relations, and Thermodynamic Retrieval via the MGE Router
| Paper: 214 | Portfolio C — AI & Enterprise |
Abstract
Fano-RAG stores ternary facts as Fano-line 2-simplices. The octonion associator acts as a conflict filter (Excluded Volume Principle), preventing contradictory chunks from co-occupying a context window. MGE replaces softmax retrieval with thermodynamic crystallisation.