Armin,
Thank you for taking the time to read my essay, and for your detailed set of questions. As you know, this presents a neo-classical picture, going back to the very beginning, and reconstructing quantum mechanics on a consistent realistic wave basis. Much of this was described in my essay last year, "The Rise and Fall of Wave-Particle Duality" . Let me respond to your questions individually:
1) Does the background vector field define a preferred rest frame?
Consider a circularly polarized EM wave packet. This corresponds to rotating vector fields in a region of space, moving at c. This has no rest frame, but if one uses a dispersion relation appropriate for a de Broglie wave, the group velocity is less than c, and one can Lorentz-transform to the rest frame, in exactly the same way as for a massive particle. Here, in the rest frame, one has a localized vector field rotating at mc^2/h.
2) Do the rotators define a preferred plane orientation in space?
In the rest frame, the spin axis could point in any direction, at random. (The figure is made for easy drawing and visualization.) If one were to Lorentz-transform this random distribution to a wave packet moving near c, the spin axis would form a narrow distribution around the direction of motion, similar to circular polarization of a TEM wave for a photon.
3) What does the amplitude of the rotator signify?
The amplitude is exactly analogous to that of an E-field in a TEM wave. Its square gives the density of energy, momentum, and angular momentum. There is no statistical significance.
4) How do you get the Born Rule out of the framework for elementary and composite particles such that it takes the differences in your framework into account?
The Born rule derives the statistical distribution of results of a given quantum measurement, so I assume you are really asking how one can obtain a statistical distribution from a deterministic picture without additional "hidden variables". I view a quantum measurement as the result of a dynamic interaction between a given quantum state and an instrument that leads to a reconfiguration of the quantum state, i.e., a true quantum transition. The detailed dynamics of this transition requires a complete formulation of the self-interaction, which is not yet part of the theory. However, I would suggest that a set of uncontrolled initial conditions (e.g., relative phase angles) of the quantum system and perturbation/instrument should be sufficient to yield the expected statistical distribution.
5) Do the rotators only rotate in one direction?
The rotation of the fields constitutes angular momentum (as it does classically for Maxwell's equations), corresponding to quantized spin. Rotation in the reverse direction corresponds to opposite spin.
6) How does your framework account for contextuality?
If I understand correctly, contextuality refers to the fact that the results of a measurement depend on the measuring instrument. I would assert that the quantum state is defined both before and after the measurement (being a distributed field in both cases), but that the measurement process can change the state of the system. So I don't see a conflict here.
7) Why should nature be characterized just in the way by the model you describe as opposed to some other?
The universal belief for much of the past century is that a consistent realistic picture is impossible. By presenting a specific counterexample for examination, I am challenging that belief. Second, I believe that simple is good, and this is much simpler than the conventional picture. Finally, the fact that I can obtain something that looks like General Relativity out of a realistic quantum picture seems quite remarkable. They are generally believed to be fundamentally incompatible.
Thank you again for your interest. I also read your very interesting essay, and will post some questions on your essay page later.
Alan