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Are there any good books related to the not much popular De Broglie-Bohm pilot wave theory and its application in hydrodynamics, walking droplets concepts?

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  • $\begingroup$ I dealt for a long time with the de Broglie-Bohm theory. But an application in walking droplets I didn't see. bout application in hydrodynamics I think that I can help. But you'll have to wait, because it is about an article that I write. $\endgroup$
    – Sofia
    Nov 30, 2014 at 17:34
  • $\begingroup$ Sure. Please do give me the details whenever you are done with your article.Thanks. $\endgroup$
    – Sarvesh
    Nov 30, 2014 at 19:03
  • $\begingroup$ With pleasure. But, leave some email, or some way to find you when I complete my article. $\endgroup$
    – Sofia
    Dec 1, 2014 at 9:47

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I know these aren't necessarily great references, but I recently read these two interesting articles about it:

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  • $\begingroup$ The first link is very interesting as it shows the mathematics of the classical Bohm pilot wave as an analogue in fluids. One should keep in mind though that the plane wave, which is a simple solution for fluids is also a simple solution for quantum mechanics but the interpretation is probabilistic, not classical. All these "past waves" go against Lorenz transformations in the simplistic transportation to quantum mechanics. I could only see this working in a General relativity frame, where space is the fluid which certainly is not Bohm's model. $\endgroup$
    – anna v
    Jan 23, 2015 at 7:51
  • $\begingroup$ What is space in the Bohm model? Or rather, what is the wave? I thought the pilot wave was a wave of space-time. How do the "past waves" go against the Lorenz transformations? $\endgroup$
    – B T
    Jan 23, 2015 at 8:18
  • $\begingroup$ The past electromagnetic impulses would have to come faster than light to impact the electromagnetic potentials at the present, for a photon for example . Bohm seems to postulate a special function , not a space deformation although in the wiki article extensions are described en.wikipedia.org/wiki/…. $\endgroup$
    – anna v
    Jan 23, 2015 at 12:16
  • $\begingroup$ @BT I haven't followed your links, but the pilot wave of dBB theory is not a wave of spacetime or even a wave in spacetime. It is a function of configuration space, just like the Schrödinger equation. $\endgroup$
    – Timaeus
    Jan 26, 2015 at 0:54
  • $\begingroup$ I see. I'm new to the concept of configuration space. Is it related to spacetime in some way? This page implies that each particle has its own set of dimensions in configuration space: mtnmath.com/whatrh/node74.html $\endgroup$
    – B T
    Jan 26, 2015 at 1:06

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