Quantum Nonlocality, Entanglement Geometry, and a Ballistic Electron Test — E8 Intelligence Research

FINDING: Bell inequality tests reveal quantum nonlocality; new rules unify entanglement geometry; ballistic electron experiment proposed. | MATH: Bell inequality: \( |E(a,b) - E(a,c)| ≤ 1 + E(b,c) \) (CHSH form: \( S = |E(a,b) + E(a,b') + E(a',b) - E(a',b')| ≤ 2 \); quantum violation up to \( 2√2 ≈ 2.828 \)). Ratio \( 2.828/2 = 1.414 = √2 \). | CONNECTION: \( √2 \) is the diagonal of a unit square, linking to 2D orthogonal basis rotations; no direct golden ratio or base-60 link. Crystallographic symmetry: \( √2 \) appears in square lattice (root system \( A_1 × A_1 \), \( D_2 \)). | DEPTH: 6 — foundational but no new geometric constants; advances understanding of quantum vs. classical correlation boundaries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com