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When you introduce $\phi(x) \phi(y)$ for $x \ne y$, you postulate an action at a distance, whichever the interval between said events is: time-like, null, or what. In other words, you admit some essence that isn’t a field, but propagates through the spacetime directly, in a point-to-point fashion. I am not sure you can’t maintain causality is such theory, ...


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This disagreement may just be a disagreement over what "locality" means. Arguably, relativistic QFT is local (after all, it doesn't violate Lorentz symmetry in any detectable way, and doesn't permit faster-than-light signaling). If it is, then you obviously don't have to abandon locality. I think there is a definition of "locality" for which your analysis ...


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Have a look at this table. Note that, in particular, true counterfactual definiteness is rare among the interpretations. Counterfactual definiteness (which is what is usually called realism in the context of Bell's theorem) says that we can meaningfully talk about every result of every measurement, regardless of whether it is performed or not. That we can ...



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