Null-Result Detection and Einstein-Podolsky-Rosen (EPR) Correlations
arXiv:1005.5092 · doi:10.1007/s10701-013-9762-0
Abstract
It follows from Bell's theorem and quantum mechanics that the detection of a particle of an entangled pair can (somehow) "force" the other distant particle of the pair into a well-defined state (which is equivalente to a reduction of the state vector): no property previously shared by the particles can explain the predicted correlations. This result has been corroborated by experiment. However, it has not been experimantally proved-and it is far from obvious-that the absence of detection, as in null-result (NR) experiments could have the very same effect. In this paper a way to try to bridge this gap is suggested. As already shown for the case of EPR correlations, if NR detections cannot induce a reduction of the state vector, then faster-than-light (FTL) communication becomes possible, at least in prínciple. But it will be demonstrated that-as entertained by Bohm-this does not necessarily lead to a causal paradox, or to the rejection of the Lorentz transformations.
16 pages, 1 figure. Similar to the version published in Foundations of Physics with an appendix on superluminal signalling without causal paradox included
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