A Bell - type Theorem Without Hidden Variables ∗

on Shimony ’ s “ An Analysis of Stapp ’ s ‘ A bell - type theorem without hidden variables ’ ”

ua nt - p h / 04 04 12 1 v 1 2 1 A pr 2 00 4 An Analysis of Stapp ’ s “ A Bell - type theorem without hidden variables ”

H.P. Stapp has proposed a number of demonstrations of a Bell-type theorem which dispensed with an assumption of hidden variables, but relied only upon locality together with an assumption that experimenters can choose freely which of several incompatible observables to measure. In recent papers his strategy has centered upon counterfactual conditionals. Stapp's paper in American Journal of Phys...

"All versus nothing" inseparability for two observers.

A recent proof of Bell's theorem without inequalities [A. Cabello, Phys. Rev. Lett. 86, 1911 (2001)] is formulated as a Greenberger-Horne-Zeilinger-type proof involving just two observers. On one hand, this new approach allows us to derive an experimentally testable Bell inequality which is violated by quantum mechanics. On the other hand, it leads to a new state-independent proof of the Kochen...

ua nt - p h / 04 07 08 5 v 1 1 3 Ju l 2 00 4 Bell ’ s Theorem - Why Inequalities , Correlations ?

It is shown that Bell’s counterfactuals admit joint quasiprobability distributions (i.e. joint distributions exist, but may not be nonnegative). A necessary and sufficient condition for the existence among them of a true probability distribution (i.e. nonnegative) is Bell’s inequalities. This, in turn, is a necessary condition for the existence of local hidden variables. The treatment is amenab...

Probabilistic Bell’s Theorem

A probabilistic Bell’s theorem on a Bell basis is presented by using local hidden variable theories. It not only has a similar logical structure to Bell’s proof of the original Bell’s theorem with inequalities, but also allows us to derive an experimentally testable probabilistic equality, which is violated by quantum mechanics in 50%. Our proof is not only simple mathematically but also can be...

A General Relativistic Generalization of Bell Inequality

In this work a general relativistic generalization of Bell inequality is suggested. Namely,it is proved that practically in any general relativistic metric there is a generalization of Bell inequality.It can be satisfied within theories of local (subluminal) hidden variables, but it cannot be satisfied in the general case within standard quantum mechanical formalism or within theories of nonloc...