I was wondering if the existence some kind of a duality in physics should always imply an existence of some underlying more fundamental structure/concept. Let me give a few example from history:

wave particle duality----> existence of quantum particle 

matrix and wave formulations of QM ----> existence of Dirac formulation

magnetic field and electric field ---> existence electromagnetic field

Can one conclude that for example AdS/CFT or because there is an equivalence between quantum gravity in D+1 dimensions and QFT in D dimensions then there must be a more fundamental structure that incorporate both?