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Even in the absence of a completely satisfying theoretical physics framework, the idea of exploring extra, compactified, dimensions is of considerable interest in the experimental physics and astrophysics communities.
A variety of predictions, with real experimental consequences, can be made ( in the case of large extra dimensions / warped models ).
For example, on the simplest of principles, one might expect to have standing waves in the extra compactified dimension ( s ).
If a spatial extra dimension is of radius R, the invariant mass of such standing waves would be M < sub > n </ sub > = nh / Rc with n an integer, h being Planck's constant and c the speed of light.
This set of possible mass values is often called the Kaluza – Klein tower.
Similarly, in Thermal quantum field theory a compactification of the euclidean time dimension leads to the Matsubara frequencies and thus to a discretized thermal energy spectrum.

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