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Thread: Optical black holes: "Hawking radiation"?

  1. #1 Optical black holes: "Hawking radiation"? 
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    In the paper Enhanced control of light and sound trajectories with three-dimensional gradient index lenses - IOPscience the authors describe optical (and acoustical) black holes (in materials with a gradient refraction index):

    optical.jpg

    I'm curious: in such an optical black hole, shouldn't it be possible for radial light rays to escape (maybe similar to the Hawking radiation?)?
    I assume the wave length would get longer as light escapes that way... so a black hole would (slowly) radiate "heat" (I guess it would have to, otherwise, the object would keep heating up)?

    How fast would that be? Does anyone know how to calculate this :-)?

    The reason I am interested in this is that I am fascinated by the theory that Hagen Kleinert, who have shown that a space-density tensor is equivalent to the spacetime tensor in GR:
    "A space with torsion and curvature can be generated from a Minkowski space via singular coordinate transformations and is completely equivalent to a crystal which has undergone plastic deformation being filled with dislocations and disclinations. Hagan Kleinert 1989"

    So if the above theory is valid, then black holes in space could maybe be modeled just like optical black holes from the paper above.
    In that case, then they should also radiate heat as in the Hawking radiation...

    Best wishes,
    Chantal





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  3. #2  
    Moderator Moderator Markus Hanke's Avatar
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    Quote Originally Posted by chenopodium View Post
    The reason I am interested in this is that I am fascinated by the theory that Hagen Kleinert, who have shown that a space-density tensor is equivalent to the spacetime tensor in GR:"A space with torsion and curvature can be generated from a Minkowski space via singular coordinate transformations and is completely equivalent to a crystal which has undergone plastic deformation being filled with dislocations and disclinations. Hagan Kleinert 1989"
    Chantal, I wish to thank you for bringing this up. I hadn't heard of this gentleman before, but I must say that some of his ideas are fascinating. Modelling matter as topological defects in space-time is something that I always found to make a lot of sense, but few of these models are actually internally consistent and meaningful. Kleinert's is one of these.
    I will certainly look into this deeper.


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    In that case you might find this paper interesting as well:
    http://users.physik.fu-berlin.de/~kleinert/papers/planckklcZN.pdf
    Abstract:
    "The Planck – Kleinert Crystal hypothesis is analyzed for an ideal cubic fcc crystal formed byPlanck particles. In this type of a quasi-continuum the energy, momentum, and mass transport are
    described by the classical balance equations. The transverse wave is the electromagnetic wave, and its
    velocity equals the velocity of light. The quasi-stationary collective movement of mass in the crystal
    is equivalent to the particle (body), and such an approach enables derivation of the Schr ¨odinger
    equation. The diffusing interstitial Planck particles create a gravity field, and the computed value
    of G is within the accuracy of experimental data. The model predicts four different force fields and a
    vast amount of the “dark matter and dark energy” in the crystal lattice. It allows for a self-consistent
    interpretation of multiscale phenomena.

    (Robert Close's model who I mentioned in another thread built his model based on the idea of Hagen Kleinert. )

    Ilja Schmelzer has also built a model similar to this in the paper:
    [0908.0591] A condensed matter interpretation of SM fermions and gauge fields

    His home page with more information (and slide presentation) is at: Cell lattice model

    All of these models contain some aspects of SR/GR, QM etc, but there are still a few pieces missing (such as black holes :-).
    I would be interested to discuss other aspects and other implications of these models (if there are any).

    Best wishes,
    Chantal
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