ADE Classification Links Tricritical Ising Model to E₆ Dynkin Diagram — E8 Intelligence Research

FINDING: ADE classification links modular invariants of the tricritical Ising model to the E₆ Dynkin diagram, unifying Lie algebra root systems with conformal field theory partition functions. | MATH: E₆ Dynkin diagram (nodes: 6, Coxeter number: 12, dual Coxeter number: 12); modular invariant partition function Z = Σ_{i,j} N_{ij} χ_i χ̅_j with N_{ij} from E₆ adjacency; tricritical Ising model central charge c = 7/10; modular S-matrix eigenvalues involve roots of unity e^{2πi/h} with h=12. | CONNECTION: E₆ root system has 72 roots, ratio 72/120 = 0.6 (close to 0.618 golden ratio conjugate); Coxeter number 12 relates to base-60 (60/12=5); modular invariants classified by ADE correspond to SU(2) level k=10 (k+2=12) with exceptional E₆ invariant at k=10. | DEPTH: 9 — This is a profound unification: the ADE classification of simply-laced Lie algebras (E₆) directly classifies modular invariant partition functions of minimal models (tricritical Ising), showing that the discrete symmetry of a Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com