  A research program within the scope of theories on "Emergent Quantum
Mechanics" is presented, which has gained some momentum in recent years. Via
the modeling of a quantum system as a non-equilibrium steady-state maintained
by a permanent throughput of energy from the zero-point vacuum, the quantum is
considered as an emergent system. We implement a specific "bouncer-walker"
model in the context of an assumed sub-quantum statistical physics, in analogy
to the results of experiments by Couder's group on a classical wave-particle
duality. We can thus give an explanation of various quantum mechanical features
and results on the basis of a "21st century classical physics", such as the
appearance of Planck's constant, the Schr\"odinger equation, etc. An essential
result is given by the proof that averaged particle trajectories' behaviors
correspond to a specific type of anomalous diffusion termed "ballistic"
diffusion on a sub-quantum level. It is further demonstrated both analytically
and with the aid of computer simulations that our model provides explanations
for various quantum effects such as double-slit or n-slit interference. We show
the averaged trajectories emerging from our model to be identical to Bohmian
trajectories, albeit without the need to invoke complex wave functions or any
other quantum mechanical tool. Finally, the model provides new insights into
the origins of entanglement, and, in particular, into the phenomenon of a
"systemic" nonlocality.
