Ulla,
A fascinating and intuitive essay fresh and real in it's freedom from conservative blinkers, allowing both deeper and broader thinking and rationalisation. I fundamentally agree almost all your analysis, including that we can't solve the problem "..by differential equations for the evolutional systems and their integration."
I also found; "Decoherence of a state to form a new coherence is a fascinating topic" long ago and tackled it. Indeed I think we may only differ in that I go further into the reality of 'state collapse' mechanisms to prove your views correct; classical nature not psuedoscience. I think your comment sums up the problem, for 100 years, very well: "something 'not real' must be seen as wrong."
Your reference too Bloch spheres and that "Open quantum systems contains interactions with Environment" convince me you may understand and appreciate my own essay, which I think and hope may clarify some questions and offer some coherent answers, including a fully classical analogue of QM. (there's also a video if you have time, Classic QM as 3D dynamic evolutions can't be drawn well on paper!)
Well done for yours. I must say I found it something of an inspiration and affirmation that not all are sold on the illogicalities and pseudoscience arising from incorrect initial assumptions, so are able to take a sensible overview. Unfortunately we are few and my work is eshewed, but what more can we do?
Thank you. A good score coming!
Best wishes
Peter