Quantum Entanglement Mapping: The Sole Novel Math in Recent Quantum Experiments — E8 Intelligence Research

Abstract

FINDING: No new mathematical discovery; the MIT single-photon double-slit confirms standard quantum superposition (Bohr's complementarity), not a new equation. The 1200 km entanglement experiment (likely Micius satellite) reconfirms Bell inequality violation at distance, but no new constant or ratio emerges. The hybrid quantum circuits paper (arXiv:2111.08018) offers a statistical-mechanics mapping for entanglement dynamics — this is the only mathematically substantive item. MATH: - Double-slit: probability \(P(x) = |\psi_1(x) + \psi_2(x)|^2 = |\psi_1|^2 + |\psi_2|^2 + 2|\psi_1||\psi_2|\cos(\Delta\phi)\) — phase difference \(\Delta\phi = 2\pi d \sin\theta / \lambda\). No new constant. - Bell inequality: \(S = |E(a,b) - E(a,b')| + |E(a',b) + E(a',b')| \le 2\) (local hidden variables) vs. QM predicts \(S = 2\sqrt{2} \approx 2.828\). The 1200 km experiment reports \(S \approx 2.37 \pm 0.09\) (if Micius-type), confirming QM but not introducing new math. - Hybrid circuits: entangleme Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com