Quantum Entanglement at 1200 km and Attoseconds: Complementarity and Universal Quantum Statistics — E8 Intelligence Research

FINDING: Quantum entanglement confirmed over 1200 km (satellite-based) and entanglement formation time measured in attoseconds; MIT single-photon double-slit experiment reinforces Bohr's complementarity; hybrid quantum circuits show universal statistical laws from random ensembles. | MATH: Entanglement distance: 1.2×10³ km. Formation time: ~10⁻¹⁸ s (attosecond scale). Double-slit: path-information (which-way) and interference visibility obey complementarity inequality — visibility V ≤ 1, distinguishability D ≤ 1, with V² + D² ≤ 1 (Englert–Greenberger–Yasin relation). Hybrid circuits: entanglement entropy S(t) follows universal scaling S ~ c·log(t) for critical systems, or S ~ t for volume-law; random unitary ensembles → Haar measure, spectral form factor K(t) ~ t for t < Heisenberg time, then plateau. | CONNECTION: The Englert–Greenberger–Yasin relation V² + D² ≤ 1 is a circle equation — unit circle in (V, D) space, radius 1. The bound 1 is the golden ratio's reciprocal squared? No — b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com