Kaluza-klein theory Definition and 13 Threads

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...

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...

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

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...

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!

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!

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

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...

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?

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

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

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...

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...