Dear Arjen (Beste Arjen),
Thank you for your interesting essay. It is different from many others in the pack in the sense that it is 'creative' and mostly avoids speculation.
Louis de Broglie suspected the co-existence of two phenomena in a single particle: the 'pilot' wave and a highly non-linear pulse-like corpuscular behavior, which is currently designated as wave-particle duality . He became discouraged by the disapproval of mathematical physicist like Heisenberg (as I recall) and, as a consequence, discontinued his research for many years. Unfortunately, he was not able to complete his research.
More recently, Andrei P. Kirilyuk originated a theory, called Quantum Field Mechanics (QFM), which shows the co-existence of the two mentioned alternating phenomena caused by interaction between two entities. This interaction results in a highly non-linear internally random pulsation. The existence of such behavior has never been recognised, since a mathematical analysis of state equations is normally simplified and, therefore, cuts out this phenomenon. In Kirilyuk's approach, the state equation is linear such that the superposition principle applies for solutions. However, oddly enough, each solution is highly non-linear and has 'hidden variables'. I.e. dynamically created eigenvalues which drive the non-linear state transitions, but which are inaccessible to measurements.
The dynamically created interaction object is identified with a massive particle, which exhibits internal randomness due to random state transitions (reduction states, see my essay). The corpuscular aspect is present in case of a stationary particle and when a particle is in motion. Wave behavior is only present when a particle is in motion and is caused by 'coherence' of the internal states of the particle (intermediate states).
In QFM, a photon can be viewed as a massive particle lacking internal random motion. Interestingly, for high speeds, the behavior of a massive particle resembles a photon. Quantitatively, this can be understood by considering the relativistic expressions for energy E and momentum p of a massive particle. They relate as Ev = pc^2, where c is the speed of light and v is the particle's speed. For v -> c, this gives the well-known photon relation E = pc. Thus, a massive particle can also be viewed as a 'wrapped up' photon, which gets 'unwrapped' as its speed in creases.
These results can never be obtained in current 'linear' physics, which seems more interested in discovering abstract symmetry principles and uses equations that could be viewed as best guesses.
In QFM, the 'needles' that you are talking about on page 4 are repeatedly dynamically created and subsequently destroyed resulting in an unceasing pulsation, and do not need a 'computational tool'. Rotation of the 'needles' results from the fact that two media with different mobilities are attracted to one another, such that any perturbation in the media caused by the attraction must 'rotate'. You also say "we could apply the whole quantum mechanical machinery to this system.'" In consider this explanation after the fact, but for now suffices to get the point across. In truly universal approach, theory should obey reality (well said Eckard Blumschein!), i.e. fit like a glove on a hand. It should explain Planck's constant, and the character of space, time, energy, momentum, charge, spin, the wave function etc. and avoid introduction of non-observed entities. Kirilyuk maintains that QFM is extensible to compositions of particles and could be used as a Universal Science of Complexity which may also be applicable to the experiments you describe.
More details on QFM can be found in my essay (which took a number of artificial postulating shortcuts to limit content), extra notes on the page where you can find my essay, and in a slide deck on my website.
1. L. de Broglie. Non-linear wave-mechanics - A causal interpretation.