Critical Exponent ν ≈ 2.7 for Metal-Topological Insulator Transition — E8 Intelligence Research

FINDING: Critical exponent ν ≈ 2.7 for disorder-driven metal-topological insulator transition | MATH: ν = 2.7 ± uncertainty; scaling analysis of localization length; metal-TI transition critical exponent matches metal-ordinary insulator universality class | CONNECTION: No direct geometric harmony ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries evident. The exponent 2.7 is not a standard golden ratio or harmonic number. However, the transition itself may involve topological invariants (e.g., Z₂ index) linked to lattice symmetries (time-reversal, reflection) which are crystallographic in nature. | DEPTH: 6 — The finding is significant for understanding universality classes in topological phase transitions, but the mathematical essence is a critical exponent, not a new constant or geometric pattern. The connection to symmetry is implicit, not explicit in the extracted data. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com