Detector contextuality—not nonlocality—explains Bell inequality violations. Strongly local probabilistic models with setting-dependent detector parameters can violate BCHSH inequalities, challenging interpretations of empirical Bell tests.

#BellTheorem #Contextuality #QuantumFoundations

Completely resolves the existence problem of linear constraint systems with quantum solutions but no classical solutions: such systems exist if and only if d≥3 and gcd(n,d)>1, providing explicit constructions beyond binary cases.

#QuantumInformation #Contextuality #Research