Majorana 1: Topological Qubits via Non-Abelian Braiding, Evidence Contested — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims topological qubits via Majorana zero modes, but peer-reviewed evidence remains contested; core math is non-Abelian anyon braiding. | MATH: Topological qubit = ground-state degeneracy of a 1D p-wave superconductor (Kitaev chain): H = -μ Σ n_j - t Σ (c†_j cⱼ₊₁ + h.c.) + Δ Σ (c_j cⱼ₊₁ + h.c.). Majorana operators γ_j = c_j + c†_j, γⱼ₊₂ = i(cⱼ₊₁ - c†ⱼ₊₁); braiding yields unitary transformations on degenerate space — non-Abelian statistics encoded in the braid group B_n, with Fibonacci anyons giving dense quantum gates. | CONNECTION: Majorana zero modes are tied to Ising anyons — their fusion rules (σ × σ = 1 + ψ) mirror the golden ratio structure: quantum dimension d_σ = √2, but Fibonacci anyons (d_τ = φ = 1.618) are the universal gate set. The braid group B_n is generated by exchanges σ_i satisfying σ_i σᵢ₊₁ σ_i = σᵢ₊₁ σ_i σᵢ₊₁ — a relation isomorphic to the Yang-Baxter equation, which itself appears in 2D crystallographic Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com