Abstract
The notion of Einstein causality, i.e. the limiting role of the velocity of light in the transmission of signals, is discussed. We show that under quite general assumptions instantaneous spreading of particle localization occurs in quantum theory, relativistic or not, with fields or without. We discuss if this affects Einstein causality. It is also pointed out that the controversy about recent experiments of Nimtz and coworkers reporting superluminal signal velocities in micro-wave tunneling arise from an indiscriminate use of terminology and that the experimental results are in full agreement with Einstein causality in its ordinary sense.
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