More great walking droplet videos. Two walking droplets colliding and attracting http://www.youtube.com/watch?NR=1&v=Xm_6Gi4Jqbg
This video begins with a bunch of bouncing droplets in a regular array. Watch the collisions closely. Sometimes the droplets merge, sometimes they don't. http://www.youtube.com/watch?v=yCWpGfuyAjU Harry On Sat, Mar 30, 2013 at 12:07 AM, Harry Veeder <[email protected]> wrote: > > > On Fri, Mar 29, 2013 at 11:46 PM, Harry Veeder <[email protected]>wrote: > >> >> >> http://www.nonlinearstudies.at/quantummechanics.php >> >> Emergent Quantum Mechanics >> >> >> One is here reminded of Feynman’s famous discussion of the double slit, >> and his introductory remark: "We choose to examine a phenomenon which is >> impossible, absolutely impossible, to explain in any classical way and has >> in it the heart of quantum mechanics. In reality, it contains the only >> mystery." *However, the above-mentioned recent classical physics >> experiments not only disprove Feynman’s statement w.r.t. the double slit, >> but prove that a whole set of “quantum” features can be shown to occur in >> completely classical ones, among them being the Heisenberg uncertainty >> principle, indeterministic behaviour of a particle despite a deterministic >> evolution of its statistical ensemble over many runs, nonlocal interaction, >> tunnelling, and, of course, a combination of all these. *We are >> referring to the beautiful series of experiments performed by the group of >> Yves Couder using small liquid drops that can be kept bouncing on the >> surface of a bath of the same fluid for an unlimited time when the >> substrate oscillates vertically. These “bouncers” can become coupled to the >> surface waves they generate and thus become “walkers” moving at constant >> velocity on the liquid surface. A “walker” is defined by a lock-in >> phenomenon so that the drop falls systematically on the forward front of >> the wave generated by its previous bouncings. It is thus a “symbiotic” >> dynamical phenomenon consisting of the moving droplet dressed with the >> Faraday wave packet it emits. Couder and Fort report on single-particle >> diffraction and interference of walkers. *They show “how this wavelike >> behaviour of particle trajectories can result from the feedback of a remote >> sensing of the surrounding world by the waves they emit”.* >> >> Of course, the “walkers” of Couder’s group, despite showing so many >> features they have in common with quantum systems, cannot be employed >> one-to-one as a model for the latter, with the most obvious difference >> being that quantum systems are not restricted to two-dimensional surfaces. >> However, along with the understanding of how the Schrödinger equation can >> be derived via nonequilibrium thermodynamics, also the mutual relationship >> of particle and wave behaviour has become clearer. >> >> >> > > > A video of the "walkers" > > http://www.youtube.com/watch?v=nmC0ygr08tE > The pilot-wave dynamics of walking droplets > > Harry >
