Dear Flavio and Chiara,
Much enjoyed reading your essay, seemed very professional, organized, and informative.
My sense in the first section is that you don't give balance to reductionism and emergence, seem to rule out the possibility that with a satisfactory QM one might arrive at wavefunctions who interactions yield calculable emergence at larger scales. Given the detailed examples of the unsatisfactory state of fundamental physics models that you present at the bottom of the first page, it would be surprising to find models of quantitative emergence already in hand. However it seems a bit hasty to close one's mind so tightly to the possibility as you seem to do for the purposes of your argument.
Very much agree with this statement:
"It thus appears quite unsatisfactory to address foundations of natural science from the perspective of something that has hardly any empirical content."
Well put, thank you for that.
There would seem to be a theoretical minimum for the philosopher/physicist, the requirement being a profound basic understanding of the wavefunction. The proliferation of quantum interpretations speaks to its absence in the community.
Appreciate your definition of that which does not meet the requirements of scientific method:
"Philosophical propositions could be defined as those which are not observationally or experimentally falsifiable at the given moment of the development of human knowledge."
It seems important to be more specific when exploring the fundamental, to address the distinction between quantum and classical when talking about observations. The 'single measurement observable' is the essential concept. Wavefunction collapse yields a lump of energy. One gains the amplitude and loses the phase. Phase is not a single measurement in QM.
The "What is Fundamental" section seems to say nothing about what is fundamental, but rather only dances around what is not.
What you call 'philosophical prejudices' goes deeper that just western philosophy, is best understood in terms of the steps to consciousness outlined in Buddhist philosophy - form (internal or external), emotional tone, perception, volitional formations, and consciousness. The first thing any new idea encounters is emotional tone. Philosophy is up there around volitional formations and consciousness. Most of us are afraid of new ideas in areas where we have attachment, in our professional identities. Despite our protestations to the contrary, we who have professional scientific and/or philosophical identities, the makers and breakers, are all nice and comfortable here in this community, food to eat and a safe place to sleep, lots of good old boys and girls to pat us on the back, no paradigm shifts here please.
Do either of you have thoughts on Hameroff/Penrose microtubules? Will adequate wavefunction models ever exist to describe their functioning? Will this be required to establish a connection between physics and consciousness that satisfies your methodology?
all in all, to describe my sense of your essay i go back to your earlier quote:
"It thus appears quite unsatisfactory to address foundations of natural science from the perspective of something that has hardly any empirical content."
It seems not easy to find empirical content in your essay.