Today someone has asked me about the evidences about the variations of fundamental constants (mainly alpha) As it is known that variation attemps versus the equivalence principle. So i wonder, if that variation would be irrefutably confirmed how would it affect LQG? I mean, LQG depends strongly in the equivalence principle. If that is violated from the very first still makes sense to do LQG? I remeber that Magueijo, on ofthe more active researchers in VSL´s had gone to the perimeter institute soi suspect it can be some workaround to do LQG even if alpha is not a constant. Someone has detaills?