PeterDonis
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ilper said:if I get the photon on Earth the poor creatures from Andromeda will not detect the excitation of the field
They will not detect that one particular photon, true. But there are zillions of photons that were emitted by the distant star, so the Andromedans will still see the star just fine.
ilper said:The only decision one is left is that the field is a probability and the instant I get the photon the field (vanishes there) returning to vacuum state.
You continue to miss the point. Any one particular photon gets detected at one particular place. That's it. There is no "vanishing" of anything anywhere else. The two QFT models I described--one that has the photon detected on Earth, and one that has the photon detected on Andromeda--are to help you predict the relative probabilities of detection on Earth or Andromeda. They are not telling you that the photon goes to both Earth and Andromeda and then vanishes at one of the two. Predictions are not reality.