{"id":3616,"date":"2015-06-18T10:45:00","date_gmt":"2015-06-18T10:45:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=3616"},"modified":"2021-04-15T01:38:24","modified_gmt":"2021-04-15T01:38:24","slug":"pilot-wave-hydrodynamics-a-review","status":"publish","type":"post","link":"http:\/\/thales.mit.edu\/bush\/index.php\/2015\/06\/18\/pilot-wave-hydrodynamics-a-review\/","title":{"rendered":"Pilot-wave hydrodynamics. ARFM, 2015"},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-purple-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<figure class=\"wp-block-image alignwide size-large is-style-twentytwentyone-border\"><img loading=\"lazy\" decoding=\"async\" width=\"2216\" height=\"410\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/ARFM.png\" alt=\"\" class=\"wp-image-6061\"\/><figcaption><em>a) Faraday wave; a b) bouncing and c) walking droplet; d) a trio of bouncers..<\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"has-drop-cap tw-text-wide has-extra-small-font-size\"><a href=\"http:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2014\/09\/walker1.jpg\"><\/a>Yves Couder and Emmanuel Fort recently discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. This article reviews experimental evidence indicating that the walking droplets exhibit certain features previously thought to be exclusive to the microscopic, quantum realm. It then reviews theoretical descriptions of this hydrodynamic pilot-wave system that yield insight into the origins of its quantum-like behavior. Quantization arises from the dynamic constraint imposed on the droplet by its pilot-wave field, and multimodal statistics appear to be a feature of chaotic pilot-wave dynamics. I attempt to assess the potential and limitations of this hydrodynamic system as a quantum analog. This fluid system is compared to quantum pilot-wave theories, shown to be markedly different from Bohmian mechanics and more closely related to de Broglie\u2019s original conception of quantum dynamics, his double-solution theory, and its relatively recent extensions through researchers in stochastic electrodynamics.<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See paper: &nbsp; &nbsp;<a href=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Bush-AnnRev2015.pdf\">Bush, Ann. Rev. Fluid Mech. (2015)<\/a>     and its   <a href=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Bush-ARFM-Chinese2021.pdf\"> translation into Chinese<\/a><\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">Select Press: &nbsp;<a href=\"http:\/\/newsoffice.mit.edu\/2014\/fluid-systems-quantum-mechanics-0912\">MIT News<\/a>, &nbsp;<a href=\"http:\/\/www.wired.com\/2014\/06\/the-new-quantum-reality\/\">Wired<\/a><\/p>\n<\/div><\/div>\n\n\n\n<p><br><br><\/p>\n\n\n\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\"><div class=\"wp-block-group__inner-container\"><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":5065,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,18],"tags":[],"class_list":["post-3616","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pilot-wave-hydrodynamics","category-hqa-reviews","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pilot-wave hydrodynamics. ARFM, 2015 - John W. M. Bush<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/thales.mit.edu\/bush\/index.php\/2015\/06\/18\/pilot-wave-hydrodynamics-a-review\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pilot-wave hydrodynamics. ARFM, 2015 - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"http:\/\/thales.mit.edu\/bush\/index.php\/2015\/06\/18\/pilot-wave-hydrodynamics-a-review\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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