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Thread: Chaotic pilot-wave dynamics

  1. #1 Chaotic pilot-wave dynamics 
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    'Pilot-Wave Hydrodynamics
    John W.M. Bush'
    http://math.mit.edu/~bush/wordpress/...-ARFM-2015.pdf

    "Finally, as concerns my alignment vis-a-vis quantum interpretations, I remain steadfastly agnostic; however, if forced to choose, I would be inclined to back, by virtue of its inclusivity, the logical extension of the Many-Worlds interpretation (Everett 1957), the Many-Many-Worlds interpretation, according to which each quantum interpretation is realized in some edition of the multimultiverse, and there is even one world in which there is only one world, a world in which quantum statistics are underlaid by chaotic pilot-wave dynamics, there is no philosophical schism between large and small, and beables be."

    'NON-LINEAR WAVE MECHANICS
    A CAUSAL INTERPRETATION
    by
    LOUIS DE BROGLIE'

    "* Since 1954, when this passage was written, I have come to support wholeheartedly an hypothesis proposed by Bohm and Vigier. According to this hypothesis, the random perturbations to which the particle would be constantly subjected, and which would have the probability of presence in terms of [wave-function wave], arise from the interaction of the particle with a “subquantic medium” which escapes our observation and is entirely chaotic, and which is everywhere present in what we call “empty space"."
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  2. #2  
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    "The Wave Mechanics of systems of particles as we have just set forth, following Schrodinger, is an essentially non-relativistic theory because it assumes that the interactions can be represented at every instant by functions of the actual separation distances of the particles, whereas in a relativistic theory of interactions, these interactions are propagated at a finite velocity, which introduces retardation of one sort or another. A relativistic Wave Mechanics of the systems cannot be developed along the lines we have indicated, and only recently has there been any attempt to construct such a Mechanics within the framework of Quantum Field Theory (works by Tomonaga, Schwinger, Feynman, etc.). Let us simply emphasize the fact that the theory set forth above is valid only for the Newtonian approximation.
    Schrodinger's idea of identifying the W wave of a system in configuration space at first shocked me very greatly, because, configuration space being a pure fiction, this conception deprives the W wave of all physical reality. For me the wave of Wave Mechanics should have evolved in three-dimensional physical space. The numerous and brilliant successes that resulted from adopting Schrodinger's point of view' obliged me to recognize its value; but for a long time I remained convinced that the propagation of the W wave in configuration space was a purely imaginary way of representing wave phenomena which, in point of fact, take place in physical space. We will see in the second part of the present work (Chapter XII) how, from 1927 on, I had sought to develop this approach within the framework of the theory of the Double Solution."
    - de Broglie

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

    [1403.3900] From the Newton's laws to motions of the fluid and superfluid vacuum: vortex tubes, rings, and others
    Last edited by chaoticwavetheory; 10-03-2014 at 04:08 PM.
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  3. #3  
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    '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. The “energetic contact” is the state of displacement of 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"

    "If a hidden sub-quantum medium is assumed, knowledge of its nature would seem desirable. It certainly is of quite complex character. It could not serve as a universal reference medium, as this would be contrary to relativity theory."


    de Broglie is referring to a relativistic aether.

    Aether has mass. Aether physically occupies three dimensional space. Aether is physically displaced by the particles of matter which exist in it and move through it.

    The Milky Way's halo is not a clump of dark matter traveling along with the Milky Way. The Milky Way is moving through and displacing the aether. The Milky Way's halo is the state of displacement of the aether.

    The Milky Way's halo is the deformation of spacetime.

    What is referred to as the deformation of spacetime is the state of displacement of the aether.

    The state of displacement of the aether is gravity.

    A moving particle has an associated aether displacement wave. In a double slit experiment the particle travels through a single slit and the associated wave in the aether passes through both.

    In a double slit experiment it is the aether that waves.
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