Πέμπτη 15 Ιουνίου 2017

pilot-waves vs gravitational waves

Oil droplets continuously bouncing on the surface of an oil bath exhibit the double-slit interference pattern distribution (Couder): Each droplet, when initially hitting the surface of the bath, creates ripples, then when the droplet hits the bath for a subsequent time, its motion on the horizontal plane is determined by the curvature and the position of wave that the droplet itself has created in the previous bounce. Like in General relativity, the mass of the droplet tells the surface of the liquid how to curve and the curvature of the liquid tells the droplet how to move (horizontally).

Similarly, a spinning dumbbell of masses produces a spiral gravitational wave, which if it hits a massive double-slit barrier (the barrier will reflect the wave or function as a damper as per the “sticky bead” argument) then interference patterns on space-time will be created so that the space-time after the slit will have “pilot-grooves”.  The dumbbell that generates the waves will therefore have a geodesic which, after the slits, will preferentially follow those groves, creating the final interference pattern on the detecting screen. We could thus consider that if particles have a repetitive internal motion (with frequency proportional to their momentum) the pilot-waves of De Broglie could be gravitational waves.

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