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Entropic Dynamics (ED) is a framework that allows the formulation ofdynamical theories as an application of entropic methods of inference. In thegeneric application of ED to derive the Schroedinger equation for N particlesthe dynamics is a non-dissipative diffusion in which the system follows a"Brownian" trajectory with fluctuations superposed on a smooth drift. We showthat there is a family of ED models that differ at the "microscopic" orsub-quantum level in that one can enhance or suppress the fluctuations relativeto the drift. Nevertheless, members of this family belong to the sameuniversality class in that they all lead to the same emergent Schroedingerbehavior at the "macroscopic" or quantum level. The model in which fluctuationsare totally suppressed is of particular interest: the system evolves along thesmooth lines of probability flow. Thus ED includes the Bohmian or causal formof quantum mechanics as a special limiting case. We briefly explore a differentuniversality class -- a non-dissipative dynamics with microscopic fluctuationsbut no quantum potential. The Bohmian limit of these hybrid models isequivalent to classical mechanics. Finally we show that the Heisenberguncertainty relation is unaffected either by enhancing or suppressingmicroscopic fluctuations or by switching off the quantum potential.

Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class