Simple refutation of Joy Christian's simple refutation of Bell's simple theorem

摘要

I point out a simple algebraic error in Joy Christian's refutation of Bell'stheorem. In substituting the result of multiplying some derived bivectors withone another by consultation of their multiplication table, he confuses thegeneric vectors which he used to define the table, with other specific vectorshaving a special role in the paper, which had been introduced earlier. Theresult should be expressed in terms of the derived bivectors which indeed dofollow this multiplication table. When correcting this calculation, the resultis not the singlet correlation any more. Moreover, curiously, his normalizedcorrelations are independent of the number of measurements and certainly do notrequire letting n converge to infinity. On the other hand his unnormalized orraw correlations are identically equal to -1, independently of the number ofmeasurements too. Correctly computed, his standardized correlations are thebivectors - a . b - a x b, and they find their origin entirely in hisnormalization or standardization factors. I conclude that his research programhas been set up around an elaborately hidden but trivial mistake.