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Thanks for the references. Here's another question on KK theory, which is only somewhat related. Consider the simplest possible spacetime manifold with one compactified dimension, that is, R^2xS. Since one of the R dimensions is time our spatial manifold is RxS. Now, we want to extract physics that look like R plus some matter by dimensional reduction. However, if we consider a photon source in RxS, it is clear that at a single point some distance away, the intensity of light will be infinitesimal, while in R the intensity will be (1/2)(total intensity of source). Even if we expand the point to some small area in RxS, the total intensity is still less than what we would expect in R. The only solution to this problem that I can see is to say that particles must be manifestations of standing waves on the compactified dimension. Am I correct in assuming this? Otherwise, it seems like we won't get the correct intensity decay formula when we reduce dimensions. I'm sorry if this is a really stupid question (which is probably is!) I've just started looking into KK theories.
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