Dear Flavio,
I thought your essay was very good, and enjoyed reading it. When tackling questions like these, it's good to remove any myths and false ideas at the outset.
I think with classical physics, what many thought would turn out to be fully deterministic was not just the known laws, but also future physics with the undiscovered laws. They were probably wrong, but that's why Laplace said "...an intelligence which could comprehend all the forces by which nature is animated...".
There's also the risk, though it doesn't invalidate your points, of looking back at classical physics with the hindsight of quantum theory, and finding things (particularly at a small scale) that didn't add up as a result. So at times you may be updating classical physics to align it with more recent discoveries. But some excellent points, and in distinguishing between the different approaches that still exist to some extent within our present ideas, you clarify physics generally. To me, the issues about determinism also raise questions about block time, and the tension between that and the open future of QM.
What you say about chaos theory is very relevant - incidentally, some recent work, referred to in my essay, shows that some chaotic paths (of the three-body problem modelled with black holes) cannot be traced in principle, due to the limitation of the Planck length.
You gave my earlier essay on 'what is fundamental' a high rating, and we had a good exchange. At the time I could only hint at my interpretation for QM, but since then it has been completed, this time it's outlined in my essay. It's a new approach, and a documentary has been made partly on it, with a conversation about the interpretation with Rovelli. It adds, or attempts to add, a further layer of explanation underneath RQM. As I see you work in quantum optics, you might find it of interest.
With best wishes,
Jonathan