A 5-Dimensional Monopole
The Kaluza-Klein idea assimilates gauge fields to gravity by comprehending gauge-transformations as diffeomorphism (“coordinate transformations”). Although this can be done for any choice of gauge group, the original U(1)-theory has the distinction of requiring only a single fundamental field: it is nothing but 5-dimensional gravity with a specific choice of metric and topology to represent the vacuum. Since you have already heard this theory described, I will sketch it only in enough detail to fix notation.
KeywordsGauge Group Killing Vector Grand Unify Theory Scalar Charge Spatial Infinity
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