Let me throw in "Hydrodynamic Quantum Analogs" [1] as a fascinating review of how quantum effects emerge in experiments with bouncing oil drops on liquid. This is fully a pilot wave driven experiment and there has been a lot of academic work analyzing the system and trying to fit it into the de Broglie-Bohm formulations of quantum dynamics.
To quote section 10.2: "The [experimental] system represents a classical realization of wave–particle duality as envisaged by de Broglie, wherein a real object has both wave and particle components."
We've already got all those fields interacting in the real world, so I don't find it very far fetched that quantum mechanics emerges from their fully classically described interactions, probably expressed in some really gnarly 4D math.
Tim Maudlin's "Philosophy of Physics: Quantum Theory" makes for an excellent read! It addresses tons of questions which are rarely answered (let alone asked) in your run-of-the-mill university-level QM class.