Superdeterministic Dual Models and Bell Type Inequalities

We present Monte Carlo simulations comparing quantum mechanical (QM) predictions for the CHSH inequality with local hidden-variable (LHV) baselines and two classes of superdeterministic (SD) models. A restricted-support variant (SD-F) and a corrected full-support formulation (SD-FSε) are evaluated. With about 100,000 trials per scenario and bootstrap confidence intervals, we quantify CHSH S-statistics and correlator structures. Results show that flawed support assumptions can artificially suppress Bell violations, while full-support superdeterministic models recover stability at the cost of introducing finely tuned measurement dependence. This situates SD models within the broader context of Bell tests, highlighting both their explanatory limits and their implications for ongoing debates on locality, causality, and freedom of choice.