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.
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References and Notes
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My local explanatory theory, based on my proof of formula (13), shows that a defender of local realism does not have to rely on the absurd loophole of the backward light cones. This loophole, used by those who believe in non-locality to dismiss local realism, conjures up an utterly improbable conspiracy, which would leave even a Cartesian demon gaping, that physical events in the overlap of the backward light cones determine both the random directions of polarization of the photon pairs and the random directions of the settings of the polarizers. Although this loophole is an instance of what one could call “Bohr′ s principle of the total experimental conditions,″” and of the related notion of “Bohm′s undivided wholeness,” and although it it admitted by Bell, Shimony et al. [see Ref. 8] to be a loophole, my local explanatory theory shows that there is no such conspiracy. On the other hand, those who believe in non-locality do not seem to have noticed that, should the “spooky action at a distance” they uphold be true, everything in the physical world would be conspiratorial, not only the events in the backward light cones. It would be a world whose very structure would prevent us from learning more about these spooky effects at any distance, and from relying on the significance of any experiment including that of Aspect et al.
C.A. Kocher and E.D. Commins, Phys. Rev. Lett. 18, 575 (1967). In this experiment, one polarizer ″Pi″ is fixed and the other ″P2″ is movable. These authors state: ″We have made runs with different orientations ″settings″ of the fixed polarizer ″Pi″* obtaining in each case a correlation which depends only on the relative angle ″$″.″; A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981). These authors wrote: “We never observed any deviation from rotational ″axial″ invariance.”
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Angelidis, T.D. (1989). Bell’s Theorem: A Counterexample that Agrees with the Quantum Formalism. In: Bitsakis, E.I., Nicolaides, C.A. (eds) The Concept of Probability. Fundamental Theories of Physics, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1175-8_9
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