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Hi Marina
Thanks for the picture, I checked in my files and I have the article. If you look into the internet you'll watch a couple of two videos more, they are impressive.
As you know, it's impossible to read all essays, I try to read as much as I can. I'm glad you recommended me to read that essay, it's interesting. In the first paragraphs they discuss what I just explained to you in my previous posts.
With regards to your first question, I think that the essay of Bassi et al., answers it very well. I would like to add a few information just for your records. Quantum mechanics have several formulations. The first one was developed in 1925 by Werner Heisenberg and is known as the matrix formulation of QM. The next year Schrodinger came up with its famous wave equation and two years later he showed that both formulations are equivalent. There is third formulation with is a mixture of both I think is due to Dirac. Another version was developed by Louis de Broglie around 1927 and one more by David Bohm in 1952. These two seem to be complementary and are known as De Broglie-Bohm theory or simply Bohmian QM. By 1986 a new version was developed, named consistent QM. There are more modern versions that are aimed to derive or generalize the original versions, such as those developed by Adler, Besso, et al (CLS, Quantum dynamics, etc.). What we are taught at schools is the three first versions, they others are not widely known at the graduate or undergraduate level. However, those who study QM and its foundations know the other versions, Bohmian mechanics is relatively popular. I don't know the technical details of this theory but I understand its principles. As the Bassi's essays explains, the standard QM considers that the state of the system is well known before the measurement is made. Actually, the calculation of the energy for a given system is totally deterministic. One can calculate the possible outcomes of quantum system. The only problem is that we don't know which one we would measure. This is why we introduce theory of probability and statistics in QM. We never know what value the measuring instrument will display, but we can tell what would be the probability and by a series of measurements we corroborate those predictions.
What they argue is that the randomness of the measurements does not necessarily come from the measurement itself. It could be that the initial conditions are not well defined (and therefore are also random) or the system does not evolve deterministically and linearly, as assumed in standard QM. Bohmian mechanics (BM) assumes that the initial conditions are not defined. The stochastic formulation assumes that the evolution of the system is nonlinear. In particular some experiments conducted at the mesoscopic scale (that is, experiments between the micro and the macroscale) can tell whether or not QM is nonlinear.
What would be the implications of, for instance, BM? Well, at least this formulation seems to give a more clear picture of quantum phenomena that the standard QM. In BM, there are two fundamental equations, the pilot-wave equation and the known schrodinger equation. The pilot-wave equation is the equation that governs the nonlinearity of the system. The pilot wave is the wave that guides the particles in their evolution, it would be the analog of the pilot-wave that guides the walkers in the videos that I showed you.
It seems that Bassi et al. are trying to develop a theory from which they can derive non-relativistic QM and at the same time a relativistic formulation but I need to read their papers in order to understand how they are going to do it.
Cheers
Israel