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?

I was wondering if the existence of some kind of duality in physics always implies the existence of some underlying more fundamental structure/concept?

Let me give a few example from history:

1. Wave-particle duality$~\Rightarrow~$ Existence of quantum particle.

2. Heisenberg's Matrix Mechanics $\&$ Schrodinger's wave formulation of QM $~\Rightarrow~$ Existence of Dirac formulation of QM.

3. Magnetic field $\&$ electric field $~\Rightarrow~$ Existence of an electromagnetic theory.

Similarly, can one conclude that

1. for example, from AdS/CFT correspondence,

2. or more generally, because there is an holographic equivalence between quantum gravity in $D+1$ dimensions, and QFT in $D$ dimensions,

then there must be a more fundamental underlying structure that incorporate both sides of the correspondence?