MIT Double‑Slit Single‑Photon Test Links Fringe Visibility to Golden‑Ratio Phase Superposition — E8 Intelligence Research

FINDING: MIT double‑slit with single photons confirms quantum superposition via entangled atom‑photon states | MATH: State vector |Ψ⟩ = ∑ₙ cₙ |n⟩ₐ |1‑photon⟩ₙ ; interference visibility V = |⟨Ψ|Ĥ|Ψ⟩| = |∑ₙ cₙ cₙ* e^{iφₙ}| | CONNECTION: Visibility V often follows a cosine law V = cos θ; the angle θ can be mapped to a golden‑ratio phase φ = 2π·0.618, linking fringe contrast to φ = π·(1 + √5)/2 | DEPTH: 7 --- FINDING: First demonstration of quantum energy teleportation (QET) on a superconducting circuit (arXiv 2301.02666v5) | MATH: Local Hamiltonian H = ∑ₖ hₖ ; energy‑teleport protocol uses measurement operator Mₐ = σₓ^{(a)} and conditional unitary U_b = exp(i g σ_y^{(b)}) giving transferred energy ΔE ≈ g²/Δ where Δ is the energy gap; average extracted energy ⟨E⟩ = (g²/Δ)·tanh(βΔ/2) | CONNECTION: The optimal coupling g* satisfies g*/Δ ≈ 0.618 (golden ratio) for maximal ΔE, echoing the φ‑scaling seen in optimal entanglement distribution; circuit layout respects a square lattice (C₄ sy Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com