The droplet gently sloshes the liquid with every bounce. At the same time, ripples from past bounces affect its course. The droplet’s interaction with its own ripples, which form what’s known as a pilot wave, causes it to exhibit behaviors previously thought to be peculiar to elementary particles. From Quanta via Wired. article 
In theoretical physics, the pilot wave theory was the first known example of a hidden variable theory, presented by Louis de Broglie in 1927. wikipedia
YOUTUBE W9yWv5dqSKk Morgan Freeman's "Through the Wormhole" on the Science Channel. Season II Episode VI. How Does The Universe Work?
_Note the moment of 'emergence' of the droplet that happens at 1:10s_
Here is another video of exploring the concept of 'pilot waves' where the droplet is 'guided' by the wave.
YOUTUBE nmC0ygr08tE Published on Dec 19, 2012 By Daniel M. Harris & John W. M. Bush Department of Mathematics, MIT
See more hydrodynamic quantum analogs collected by Bush and others. webpage
Oil droplets guided by “pilot waves” have failed to reproduce the results of the quantum double-slit experiment, crushing a century-old dream that there exists a single, concrete reality. quanta
YOUTUBE RlXdsyctD50 Pilot Wave Theory and Quantum Realism | Space Time | PBS Digital Studios
YOUTUBE WIyTZDHuarQ Is This What Quantum Mechanics Looks Like?
The first ever photograph of light as both a particle and wave