RUTA said:
But the choice of settings in delayed choice is correlated perfectly with a previous outcome, that’s what “delayed choice” means. If you still don’t understand it, I can’t help you.
In the paper, you write:
"The question from our dynamical perspective is, How do the particles ‘know’ whether or not the lens will be inserted? And, if they do not ‘know’ whether the lens will be inserted or not, how do they ‘know’ whether or not to create the interference pattern?"
"Let us now bring the conscious agent into the picture by imagining it is a conscious agent inserting the lens (or not) in the experimental set-up. The question from our dynamical perspective is, What will I experience if I am the agent deciding whether or not to insert the lens? If the predictions of QM are to hold, then my decision must always be in accord with the particle’s behavior at the detection screen and that event occurred before I made the decision. Assuming QM holds, will I feel mentally ‘coerced’ into making the appropriate choice? Will I feel some ‘physical force’ moving my hand against my will?"
So you are suggesting that for a signal photon hitting at a given spot on D0 - call it x1,y1 - the probability that it will have an "erased" partner can be different from it having an "unerased" partner. Like you think there are spots on D0 that are the peaks and troughs of the interference pattern, such that some mysterious force would have to compel the (spacelike separated) human to choose to insert or remove the lens on these runs of the experiment, so that the statistical correlations are correct.
The logic is valid, but the premise is wrong. You are forgetting about the ##\pi## phase shift between the two "erased" detectors, which have exactly inverse peaks and troughs in their interference patterns at D0. Crucially, this means that for every impact spot on the D0 screen, the probability of the idler detection at D1+D2 = D3+D4, no matter what. See Pisanty's answer here with nice diagrams:
https://physics.stackexchange.com/q...-the-delayed-choice-quantum-eraser-experiment
So, if x1,y1 is in the trough for the D1 interference pattern, this does NOT mean it is now less likely the idler is going to be erased - it only means that if the idler is erased, it is more likely to be seen at D2, rather than D1.
So, when we remember the phase shift, there is no need for the human's will to be swayed by the prior D0 measurement. Every D0 measurement is equally consistent with the human inserting the lens or not - the only thing that is conditioned on specific D0 outcomes is whether, after the choice to erase, outcomes are weighted to D1 or D2 (or whether unerased cases are weighted to D3 or D4). This is just basic EPR correlations.