All delayed choice quantum eraser experiments I've seen record the signal photons reaching detector D0 and then use the data of the idler photons recorded at detectors D1, D2, D3, D4 to "filter out" the photons with which-path information at detector D0 to be able to see the interference pattern.
Now, what would one see at detector D0 if the experiment was performed every 1 second and changed to send the entangled idler photons to the moon? It takes more than a second for the idler photons to reach the moon, which is enough time for the photon stream to form a COMPLETE interference pattern (or not) at detector D0. At the moon, instead of using 4 detectors where 2 do detect which-path information and 2 don't, a device with only 2 detectors would alternate randomly every second between recording and not-recording the which-path information of the incoming entangled idler photons.
Recording the which-path information at the moon should produce an interference pattern on earth. So would the observer looking at detector D0 see the pattern randomly change from interference to non-interference every second? If yes, can he thus predict 1 second in the future what the device at the moon will do?
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