Recent content by ArjenDijksman

It's good to see thoughts are evolving since we first discussed this experiment on Physics Forums. I would be interested in having any information on recent Heinz von Foerster congress on Emergent Quantum Mechanics where Yves Couder held the http://www.univie.ac.at/hvf11/congress/EmerQuM.html".

Both interpretations are relevant. The evolving phase of the wavefunction can be seen as the phase of a wave and as the evolving orientation of the vector representing the particle. This is a de Broglie-Bohm viewpoint, where there's phase matching between the particle's phase and its pilot wave.

There are different features in the measurement problem. Initially, we have a quantum system of which we know don't exactly know the state. So mathematically, the best way we can describe it is as a linear combination of the allowed states. These states are represented by rotating vectors...

Well said. In quantum measurements, the probes (photons, electrons,...) with which we observe the system are in the same size range. In classical physics, the effect of the probe is generally ignored: the light shining on a marble has no noticeable effect on its observed trajectory. Not true for...

The modulus squared being conserved, the modulus (= norm of the state vector, square root of the modulus squared) is also conserved. An evolving state vector can keep constant norm only if its orientation changes, hence the imaginary i (90°) in the evolution equations when the state vector...

Fundamentally, the mathematical entity representing a quantum particle (or system) is a state vector (an arrow). The orientation of this arrow evolves whatever the variable that changes (time, position, momentum). This means that this arrow rotates or spins in space. So the term describing the...

I consider the Pauli exclusion principle as a special case of a very general principle of Nature: two make a pair. And in order to make a pair, the two must "fit" or "bind" together. For electrons, this fitting or binding means being opposite in spin. So regarding your question of what happens...

I didn't say that the Hamiltonian can be generalized to the wave + droplet experiment. The generalization with QM seems essentially phenomenological: there are similarities, they apply further than what seemed possible 10 years ago, but it's not yet clear to which extent they apply. There's too...

I agree. Testing analogous systems only helps us to distinguish between general principles that are valid in both systems, and specific ones applicable only to one particular system. Or as Fritz Zwicky stated it in New Methods of Thought and Procedure (1967): It helps us to achieve broad...

Hmmm... gung-ho? I merely appreciate those experiments as a physicist because they retrieve some QM results which were regarded impossible to obtain with ordinary macroscopic experiments. They complement our understanding of wave particle duality. What's wrong with mentioning them in a thread...

Oh yes, there is a big difference between QM interpretations (a formulation using math, language, analogues, logic...) and the actual QM behavior. Like you stated it, these walker droplet experiments only mimic some aspects of QM experiments. I don't understand what you mean by "my logic"...

Yes, postulates are not derived. Yet to me, all the current confusion about the quantum postulates is a hint that we are missing a consistent interpretation in which most of the postulates are just corollaries of the first postulate (about the state vector). The derivation I gave in my previous...

Yes, exactly. That's what I would require for an interpretation: a formulation that reproduces the results of QM experiments. One way to detect the associated waves is through investigation of the spots whereto the "walker" is guided. This concurs with the way how de Broglie conceived the...

I would rather say that the fundamental QM postulate is the one where we define the quantum state vector (or the wave-function, as you prefer). As a matter of fact, in all exposures of QM that I have seen, this is always the first postulate. We should start deriving the other postulates from...

The results of the experiments described at those links simulate quantum tunneling and quantum interference (as well as other features like orbiting particles with discrete orbitals...). They provide a way to investigate pilot-waves at macroscopic level and therefore to test the consistency of...