Majorana 1: Ising Anyon Braiding, Not Yet Proven at Scale — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 chip claims topological qubit protection via Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons, not yet experimentally confirmed at scale. | MATH: Majorana zero modes satisfy γ† = γ, γ² = 1, {γᵢ, γⱼ} = 2δᵢⱼ. Fusion rules: σ × σ = 1 + ψ (Ising anyon). Braiding yields unitary matrices: R = e^{±iπ/8} for σ-σ exchange; topological charge measurement projects onto parity subspace. The qubit is encoded in fermion parity: |0⟩, |1⟩ = |even⟩, |odd⟩, with logical Z = iγ₁γ₂. | CONNECTION: The braid group Bₙ acts on the fusion space; for Ising anyons, the dimension of the Hilbert space grows as 2^{(n-2)/2} — a Fibonacci-like growth (ratio ~√2 per pair, not 1.618). However, the phase e^{iπ/8} = 0.9239 + 0.3827i — the real part 0.9239, imaginary 0.3827 — directly encodes the golden ratio conjugate 0.382 in the imaginary component. The π/8 phase is a root of unity related to the 16th cyclotomic field, linking to cryst Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com