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B Energy in a charged cap. via Kaluza-Klein theory

  1. Jul 4, 2016 #1
    In terms of Kaluza-Klein theory how does one view the stored electromagnetic energy between the plates of a charged capacitor.

    Thanks!
     
  2. jcsd
  3. Jul 4, 2016 #2

    PeterDonis

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    I'm not sure what you're asking. Kaluza-Klein theory is equivalent to the Einstein Field Equation + Maxwell's Equations. So it includes standard electrodynamics, which can explain the stored energy in a capacitor, and Kaluza-Klein theory would just use that same explanation.
     
  4. Jul 4, 2016 #3
    In Kaluza_Klein charge can be thought of as momentum in the 5th dimension?

    I guess I was looking for some kind of geometrical interpretation of electrostatic energy.
     
  5. Jul 4, 2016 #4

    PeterDonis

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    Sort of, yes; charge relates to how fast a particle is going around the small circle that is the 5th dimension. But I don't know how (or if) that interpretation can be extended to cover the energy stored in the field. In standard (4-dimensional) GR there is no way to define a localized "energy in the gravitational field" as a geometric object, and in Kaluza-Klein theory what we call "electromagnetic" energy would be a form of "energy stored in the gravitational field" (interpreting "gravitational field" as the underlying 5-dimensional geometry).
     
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