Interesting thoughts Domenico,
Thank you for sharing your outlook. But these are just undeveloped fragments so far. It would have been nice to see more development of the ideas.
I have attached a paper by Steven Kenneth Kauffmann - about the presentation of a Classical oscillator as a Schrodinger equation - which ties some of your essay's ideas together, as it involves 'Hamiltonizing' the system.
I think this paper relates, or hope it helps you with a next step.
all the best,
JonathanAttachment #1: 1012.0051v4.pdf