Majorana 1: Topological Qubits, Thin Evidence, Kitaev Chain Math — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims topological qubits using Majorana zero modes, but the public evidence remains thin; the core math is braiding non-Abelian anyons in a Kitaev chain lattice. | MATH: Topological qubit = braid group B_n acting on degenerate ground state manifold of a p-wave superconductor; Majorana operators γ_i satisfy {γ_i, γ_j}=2δ_ij, γ_i†=γ_i. The Kitaev chain Hamiltonian: H = -μ Σ n_i - t Σ (c_i†c_{i+1}+h.c.) + Δ Σ (c_i c_{i+1}+h.c.) — with Δ=t, μ=0 gives unpaired Majorana modes at ends. Braiding yields unitary transformations: B_ij = exp(π/4 γ_i γ_j), giving phase factors e^{±iπ/4} — not the golden ratio, but the π/4 is a root-of-unity phase (8th root). | CONNECTION: The braid group B_n is deeply tied to the symmetric group S_n and the Temperley-Lieb algebra, whose Jones polynomial at q=e^{iπ/4} (or q=e^{2πi/5} for Fibonacci anyons) links to 1.618. However, Majorana braiding gives only Clifford gates (π/4 phases), NOT universal quantum computation — Fibona Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com