Deterministic, in-browser computation of the CHSH (Clauser-Horne-Shimony-Holt 1969) form of Bell theorem, three ways.
Deterministic, in-browser computation of the CHSH (Clauser-Horne-Shimony-Holt 1969) form of Bell theorem, three ways. Analytic: for a two-qubit singlet or Werner state of visibility V, the correlators E(a,b) = -V*cos(a-b) give the CHSH statistic S, bounded by |S| <= 2 for any local-hidden-variable theory but reaching the Tsirelson bound |S| = 2*sqrt(2) ~ 2.828 (Cirel`son 1980) at the canonical angles - the exact quantum ceiling; violation requires V > 1/sqrt(2). Monte-Carlo experiment: simulates N entangled-pair measurements drawing +/-1 outcomes with the exact quantum joint probabilities, so the estimated S exceeds the local bound by many standard errors, with honest sampling error. Local-hidden-variable baseline: simulates a fully local deterministic model whose S provably saturates at 2 and cannot reach the quantum value - the falsification made concrete. The correlations are the standard QM predictions; this is a theory calculator and a faithful simulator, not a physical experiment (no detector or locality loopholes modeled). The conditioning of the statistic (the correlator reductions on the KAHAN_* scale and the residual against 2*sqrt(2)) is reported in its own vocabulary; GeoNum trust stays untracked because no kernel op runs. No API, no key, no network, no AI.
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