Measurement angles

Alice a: 0° Alice a': 45° Bob b: 22.5° Bob b': 67.5°

Model

Quantum (entangled) Local hidden variable Both side-by-side

Rate

Trials per frame: 200

Statistics

Trials0

E(a,b)0.000

E(a,b')0.000

E(a',b)0.000

E(a',b')0.000

S (quantum)0.000

S (local)0.000

Regime—

Local hidden-variable theories must obey CHSH: |S| ≤ 2. Quantum mechanics with the singlet state predicts E(a,b) = −cos(a−b), which at the Bell angles (0°, 45°, 22.5°, 67.5°) gives S = 2√2 ≈ 2.828 — ruling out local realism.