This is a curiosity-oriented question, so references or indications are very welcomed.
In the book on class field theory by Neukirch, one finds an abstract version of class-field theory: for a profinite group $G$, a $G$-module $A$, and two maps $\deg$: $G\to \hat Z$, $v: A_k\to \hat Z$ satisfying certain conditions($v$ is a henselian valuation with respect to $\deg$), one calls the pair $(\deg,v)$ a class-field theory.
In view of the above generality in stating the conditions, one is thus led to ask:
Are there nay applications of class-field theory outside the realm of number-theory? For example, is there some kind of statistic class-field theory? Or is this thought too imaginative after all?
Any responses are the most appreciated in advance.