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Bell’s Conjecture and Faster-Than-Light Communication

By Luiz Carlos Ryff

Abstract

The Bell-wave (B-wave) supposition has been introduced in an attempt to investigate Bell’s conjecture (according to which “behind the scenes something is going faster than light”). Here it is shown, for the case of two entangled photons, that if it is further assumed that the B-waves propagate with superluminal but finite velocity then it is possible, at least in principle, to have faster-than-light (FTL) communication. To try to explain the Einstein-Podolsky-Rosen (EPR) correlations, John Bell conjectured that something should be propagating with superluminal velocity, and suggested the reintroduction of the idea of an aether, a preferred frame of reference [1]. However, as far as I know, he never elaborated on this idea. B-waves have been assumed in an attempt to investigate Bell’s conjecture [2]. Considering a two-photon entangled state, a B-wave is created when the first photon of the pair is detected in the preferred frame. It then propagates and reaches the second photon, forcing it into a well-defined state. But the state in which the first photon is found is not necessarily the state into which the second photon will be forced. It will depend not only on the initial entangled state, but also on the optical devices the photons will find on their way to the detectors. How is the correct information conveyed? Assuming that there cannot be any sort of “conspiracy ” of nature, or, in other words, that nature is “blind”, this can only take place in a purely mechanical or automatic way, so to speak. A possibility is to have the B-wave following the path of the first photon backwards to the source and then following the path of the second photon. Each time it passes through an optical device its state is changed, eventually reaching the second photon in the “correct ” state. This simple mechanism can, in principle, reproduce the results of all Bell inequalities tests with pairs of photons, and is consistent with the following aspect of the quantum mechanical formalism. For instance, let us consider the two-photon polarization-entangle

Topics: → (1 / √ 2)(|H 〉 |H〉 − |V 〉 |V〉). That is
Year: 2009
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