Dear Flavio,
Thank you very much for your kind words. I have just completed studying your most impressive essay, and indeed we do reach rather similar conclusions, if from somewhat different directions and couched in different terms: All too many scientists are shackled by their preconceived ideas/prejudices when trying to proceed beyond the present frontiers of science. And one of the most ubiquitous of these prejudices is the adherence to a strict reductionism. When thoughtfully and carefully applied, reductionism can be a useful, even powerful tool, but it is by no means fundamental to advancing science.
I was especially impressed with your treatment of Bell-type theorems. You present these ideas in much more eloquent, philosophical terms than I do, for I proceed from an experimentalist's point of view, and I have worked primarily with the CHSH inequality, which was derived with specific experiments in mind. There wasn't space in this essay for me to elaborate much about Bell-type theories or experiments, but they are very important, especially since such far-reaching conclusions have been drawn from them. I have written more extensively about them in previous papers ([11-14] and references therein).
On p. 7 of your essay you state, "To summarize, local realistic theories have been falsified, and we have a theory, QM, which comes outside its borders. However, it is not the most fundamental theory we think of, since there is potentially room for theories that violate the bounds imposed by QM, and still lie in the domain of 'physically significant' theories (i.e., within the NS [no-signaling] bound)." I recommend the examination of nonlinear dynamics and chaos theory as a possible contender for such, along with the implication that quantum mechanics could be influenced or even contain nonlinearities. When people have tried to explain away the implications of Bell-type experiments, most of their focus has been on the quantum-mechanical side (e.g., reaching the 2в€љ2 -- rather than 2 -- upper bound on correlations for "entangled" pairs). However, some NONLINEAR systems can also exceed the so-called classical bound, making a strict elimination of local reality somewhat moot. (There is a fairly extensive literature on this under the guise of "nonextensive entropy." Gell-Mann and Tallis have edited a book based on a Santa Fe Institute conference, and Tallis has written a fairly recent book introducing the subject [although he tends to oversell his "Tsallis entropy."]) Nonergodic behavior, i.e., trajectories visiting some parts of phase space preferentially over other parts, can easily disguise itself as "spooky-action-at-a distance" -- and it is not uncommon in nonlinear systems.
Again, thanks. And I hope other readers will like your essay as much as I do.
Bill