The Concept of Probability pp 71-90 | Cite as

# Bell’s Theorem: A Counterexample that Agrees with the Quantum Formalism

## Abstract

A family {Aμ} of models is here constructed whose members satisfy all the postulates of locality due to Clauser and Home (CH), and whose members *converge uniformly* to a unique *limit function* identical with the function of the quantum formalism (QF) model for the Einstein-Podolsky-Rosen-Bohm (EPRB) *ideal* experiment. This renders *invalid* Bell’s theorem. My construction establishes my proposed *local explanatory* theory of the EPRB experiment from more basic postulates of a structural character as Einstein had in mind. The theory explains, in purely local terms, *the* characteristic trait of the EPRB experiment where the directions of polarization of the single photon pairs are *chosen at random* by the process of annihilation from the singlet state, and the directions of the polarizer settings are chosen at random (or nearly so) by the switches as in the Aspect experiment. Moreover, a bona fide *specified form* of the generalized CH inequality, known as CH(4), is here constructed which is *satisfied* by the QF model itself. This *directly* demonstrates the *consistency* of CH(4) with the quantum formalism.

## Keywords

Limit Function Uniform Convergence Singlet State Universal Quantifier Photon Pair## Preview

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## References and Notes

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