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Compactification entails changing a theory with respect to one of its space-time dimensions. Instead of this dimension ranging to infinity, the theory is changed so that this dimension has a finite range, and may be periodic. In the limit where the size of the compact dimension goes to zero, no fields depend on this extra dimension, and the theory is *dimensionally reduced*. Further use for dimensional reduction.

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The role of the Hopf Fibration in Kaluza-Klein theory

Hi I am also interested in this question. I have done some work on the Hopf-Fibration but do not have much knowledge of the KK theory - I would certainly like to know more about it though. The Hopf-Fi …
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