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Wave-particle duality of Couder's walking droplets?

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Jarek Duda:
There are lots of new paper on this subject, like about trajectories averaging to quantum trajectories like in the video above: http://math.mit.edu/~bush/wordpress/wp-content/uploads/2013/07/Harris-Corrals-2013.pdf
or some general papers: http://math.mit.edu/~bush/wordpress/wp-content/uploads/2013/07/MB1-2013.pdf , http://windw.dk/2013Bouncing.pdf
Here are some additional materials, videos: http://walkingdroplet.com/

If someone disagree that behavior of these droplets is analogous to quantum mechanical, look at de Broglie-Bohm interpretation: http://en.wikipedia.org/wiki/De_Broglie%E2%80%93Bohm_theory#Derivations
We just make Madelung transformation of Schrodinger equation: take psi=R exp(iS) and write equations for this action (S) and density rho=R^2. For density we get standard continuity equation, while for S we get Hamilton-Jacobi equation - exactly like for classical mechanics, but modified by h^2 correction because of interaction with these "pilot" waves of quantum phase.

If someone is worried if we can use such pictures of sub-quantum behavior because of Bell inequalities, here is a nice lecture and paper that these inequalities are violated e.g. in classical Ising model:
http://www.perimeterinstitute.ca/videos/can-sub-quantum-theories-based-background-field-escape-bell-s-no-go-theorem
http://arxiv.org/vc/arxiv/papers/1211/1211.1411v1.pdf
so the belief that these inequalities should be fulfilled by local deterministic models is not true.

distimpson:

--- Quote from: Jarek Duda on 13/01/2013 12:47:57 ---
What do you think about these experiments? About such understanding of wave-particle duality?
Have particles both natures simultaneously, or maybe only one of them in one time?
In such case, when and how it is switched? What about Afshar experiment?

--- End quote ---

I just started reading all the material, so far it is great, anything that helps to demystify quantum mechanics is a noble effort imo. Thank you for posting this material, it's posts like this that have made the Naked Science Forum my favorite place on the internet.

Jarek Duda:
Yes, nowadays there are lots of materials showing that we can get below QM, understand what's going on there. They are trying to protect their "quantum shaman" status by Bell inequalities, but it doesn't longer hold as classical systems also violate these inequalities.

It is time to finally search for real models of particles - concrete localized constructs of the field behind Feynaman diagrams - solitons.
And it is really natural to construct charges there - as topological charges.
For example imagine vector field with Higgs potential V(v)=(1-|v|^2)^2.
To be in the potential minimum, the field has to break symmetry in every point, choosing some |v|=1 direction ... however, if the field has a hedgehog configuration (e.g. v(x)=x), the field has to get out of the Higgs potential minimum to v=0 ... giving this particle rest energy - mass, which can be released while particle-antiparticle annihilation, exactly like in this animation: http://en.wikipedia.org/wiki/Topological_defect#Images
Now looking at such 2D topological charge-anticharge pair in different distances:

we see that the closer they are, the smaller stress of the field (energy) - it means that they attract (analogously the same charges repel).
And so it is very simple to get Maxwell's equations describing dynamics of such topological charges: http://iopscience.iop.org/1742-6596/361/1/012022/  http://arxiv.org/abs/hep-th/9910221
After simple expansion we get 3 different ways for charge configuration (leptons), and stable configurations resembling other known particles: http://www.fqxi.org/data/essay-contest-files/Duda_elfld_1.pdf

Jarek Duda:
Recording of prof. Couder's presentation from EmQM13:
http://www.emqm13.org/abstracts/presentation-videos/video-yves-couder/

Also many others there, e.g. of prof. Faber about soliton particle models:
http://www.emqm13.org/abstracts/

liquidspacetime:
Dark matter' is now understood to fill what would otherwise be considered to be empty space.

'Cosmologists at Penn Weigh Cosmic Filaments and Voids'
http://www.upenn.edu/pennnews/news/cosmologists-penn-weigh-cosmic-filaments-and-voids

"Dark matter ... permeates all the way to the center of the voids."

'No Empty Space in the Universe --Dark Matter Discovered to Fill Intergalactic Space'
http://www.dailygalaxy.com/my_weblog/2012/02/no-empty-space-in-the-universe-dark-matter-discovered-to-fill-intergalactic-space-.html

"A long standing mystery on where the missing dark matter is has been solved by the research. There is no empty space in the universe. The intergalactic space is filled with dark matter."

Dark matter which fills the space unoccupied by particles of matter is otherwise known as the aether.

Wave-particle duality is a moving particle and it's associated wave in the aether.

"While the founding fathers agonized over the question 'particle' or 'wave', de Broglie in 1925 proposed the obvious answer 'particle' and 'wave'. Is it not clear from the smallness of the scintillation on the screen that we have to do with a particle? And is it not clear, from the diffraction and interference patterns, that the motion of the particle is directed by a wave? De Broglie showed in detail how the motion of a particle, passing through just one of two holes in screen, could be influenced by waves propagating through both holes. And so influenced that the particle does not go where the waves cancel out, but is attracted to where they cooperate. This idea seems to me so natural and simple, to resolve the wave-particle dilemma in such a clear and ordinary way, that it is a great mystery to me that it was so generally ignored." - John Bell

In the following two articles the aether is what waves in a double slit experiment. In the first article the aether has mass.

'From the Newton's laws to motions of the fluid and superfluid vacuum: vortex tubes, rings, and others'
http://arxiv.org/abs/1403.3900

"This medium, called also the aether, has mass and is populated by the particles of matter which exist in it and move through it" ...

... and displace it.

'EPR program: a local interpretation of QM'
http://arxiv.org/abs/1412.5612

"Wave particle duality is described as the compound system of point particle plus accompanying wave (in the æther)."

In the following articles Louis de Broglie describes wave-particle duality as a moving particle and it's associated wave in a hidden subquantic medium.

'Interpretation of quantum mechanics by the double solution theory - Louis de BROGLIE'
http://aflb.ensmp.fr/AFLB-classiques/aflb124p001.pdf

“When in 1923-1924 I had my first ideas about Wave Mechanics I was looking for a truly concrete physical image, valid for all particles, of the wave and particle coexistence discovered by Albert Einstein in his "Theory of light quanta". I had no doubt whatsoever about the physical reality of waves and particles.”

“any particle, even isolated, has to be imagined as in continuous “energetic contact” with a hidden medium”

The hidden medium of de Broglie wave mechanics is the aether.

"For me, the particle, precisely located in space at every instant, forms on the v wave a small region of high energy concentration, which may be likened in a first approximation, to a moving singularity."

A particle may be likened in a first approximation to a moving singularity which has an associated aether displacement wave.

"the particle is defined as a very small region of the wave"

The particle occupies a very small region of the associated aether wave.

Q. Why is the particle always detected traveling through a single slit in a double slit experiment?
A. The particle always travels through a single slit. It is the associated wave in the aether which passes through both.

The wave of wave-particle duality is a wave in the aether.

In a double slit experiment the particle travels a well defined path which takes it through one slit. The associated wave in the aether passes through both. As the wave exits the slits it creates wave interference. As the particle exits a single slit the direction it travels is altered by the wave interference. This is the wave guiding the particle. Detecting the particle strongly exiting a single slit destroys the cohesion between the particle and its associated wave in the aether, the particle continues on the trajectory it was traveling and does not form an interference pattern.

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