Mathematical formulation of Kaluza-Klein theory

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rbtqwt
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Good morning, what is the mathematical formalism used for a rigorous formulation of the Kaluza-Klein theory? Is there any reference? Thanks!
 
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Just about any theory with compact extra dimensions is a Kaluza-Klein theory. So it could be a classical field theory, a quantum field theory, or a string theory. Take a look at the Wikipedia article, especially the references at the end.
 

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