Non-Abelian Pfaffian Quasiparticle Tunneling and Antidot Spectroscopy at ν=5/2 — E8 Intelligence Research

FINDING: Moore-Read Pfaffian quasiparticles tunnel between QH edges with non-Abelian statistics; antidot geometries confine anyon molecules whose spectroscopy probes fractional charge and braiding phase | MATH: ν=5/2; e*=e/4; tunneling exponent g depends on filling and edge mode structure; I∝V^g with g=1/ν for Laughlin, modified for Pfaffian; braiding phase θ=π/4 (Ising σ) | CONNECTION: Pfaffian = (1/2)Σ sgn(σ)∏1/(z_i−z_j) — a Pfaffian of a skew-symmetric matrix, structurally tied to SO(2n) root systems and the D-series crystallographic lattices; Ising anyon fusion rules σ×σ=1+ψ mirror SU(2)₂ fusion, whose quantum dimensions d=√2 relate to the silver ratio 1+√2≈2.414 (adjacent to 2.618=φ²) | DEPTH: 9 FINDING: Universal anyon tunneling in chiral Luttinger liquid confirms power-law scaling independent of microscopic details | MATH: G(T)∝T^(2g−2) or I∝V^g; for ν=1/3, g=1/3; for ν=5/2, g=1/2 (charged mode) with neutral Majorana mode contributing g_neutral=1/2; total effective exponent g_e Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com