Kaluza-klein theory Definition and 15 Threads

  1. J

    I Kaluza-Klein Theory and 5D Einstein Equations

    Others are telling me the Einstein Field Equations can work in other dimensions other than 4D (3D space + 1D time). How true is it? So I'd like to ask for clarifications. I googled about it and found one reference for example: Kaluza–Klein theory - Wikipedia I assume the Einstein equations is...
  2. G

    A Metric Ansatz For Unifying All Forces In 11D?

    The ansatz for the 5D metric is \begin{equation} G_{\mu \nu}= g_{\mu \nu}+ \phi A_{\mu} A_{\nu}, \end{equation} \begin{equation} G_{5\nu} = \phi A_{\nu}, \end{equation} \begin{equation} G_{55} = \phi. \end{equation} This information was extremely enlightening for me, but what's the analogous...
  3. marce

    I Can Muons or Tau Particles Be Explained by Kaluza-Klein Towers?

    - Does anyone know , why for instance a muon or a tau , can't be considered as Kaluza-Klein tower(s) ? M.
  4. arivero

    A Does String Theory incorporate Kaluza Klein? How?

    From time to time, I point to string theoretists that they should have considered more seriously to use Kaluza-Klein theory and they invariably answer me "we do", and move forward. So I am starting to thing that perhaps I am wrong and I have missed some developing of the theory the the XXIth...
  5. Spinnor

    B Can Kaluza-Klein theory accommodate magnetic charge?

    Can Kaluza-Klein theory accommodate magnetic charge? If so is there a simple geometric difference between electric and magnetic charge in such a theory? Thanks!
  6. Spinnor

    B Kaluza-Klein Theory in 2D Space-Time: Exploring Implications

    Should one be able to take the results of 5D Kaluza-Klein theory and turn it into a theory that works with two less space dimensions? Thanks!
  7. Spinnor

    B Energy Stored in Charged Capacitor: Kaluza-Klein Theory

    In terms of Kaluza-Klein theory how does one view the stored electromagnetic energy between the plates of a charged capacitor. Thanks!
  8. G

    Mathematica Kaluza-Klein Reduction Via Mathematica

    Does any know how to perform Kaluza-Klein reduction via mathematica? The task becomes very tedious if the job is done manually when successive reductions are done.
  9. BiGyElLoWhAt

    How Did Clifford's Theories Influence Modern Physics and String Theory?

    http://en.wikipedia.org/wiki/Kaluza–Klein_theory ##http://link.springer.com/article/10.1007/BF01390677 (original german paper, Ich kan nicht Deutsche) http://www.scientificexploration.org/journal/jse_21_3_beichler.pdf (this author makes some interesting arguments) Also, a lot (if not all...
  10. L

    Kaluza-Klein Theory Q&A: Inducing EM Field & Ricci Tensor

    I know this is technically not orthodox GR, but it is closely related. I was reading about Kaluza-Klein theory, but I don't completely understand it. Under what circumstances would could a gravitational field induce an electromagnetic field under this theory. Also, how is the Ricci tensor different?
  11. C

    Connections/geometry in Kaluza-Klein theory

    In Kaluza-Klein theory one introduce an extra fifth spatial dimension, to the usual four-dimensional manifold ##M^4## in General Relativity called space-time. This extra dimension has a symmetry; i.e. it is spanned by a Killing vector and it's taken to be compact. One views this extra dimension...
  12. R

    Mathematical formulation of Kaluza-Klein theory

    Good morning, what is the mathematical formalism used for a rigorous formulation of the Kaluza-Klein theory? Is there any reference? Thanks!
  13. J

    Gravitation and electromagnetism is unified by Kaluza-Klein theory

    Recently I read that gravitation and electromagnetism is unified by Kaluza-Klein theory. Can someone tell me in depth how they are unified
  14. E

    Kaluza-Klein Theory: Exploring Its Merits & Drawbacks

    I'd never heard of Kaluza-Klein theory before today, and from what I've read I think that's rather odd. Taking it from a purely non-quantum, relativistic unification of gravity and electromagnetism, what's wrong with it? I know it has been subsumed into other, more sophisticated theories, but on...
  15. A

    Kaluza-Klein Theory and spatial curvature

    In Kaluza-Klein theory, the gauge symmetries for all the fundamental forces are mapped onto the higher spatial dimensions. So the internal symmetries are now externalised. Does this imply that you can extend the analogy with gravity further: so for example, if the 5th dimension contains...
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