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1. www.annualreviews.org › content › journalsPilot-Wave Hydrodynamics | Annual Reviews

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   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.

2. thales.mit.edu › bush › indexPilot-wave hydrodynamics - John W. M. Bush

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   The Generalized Pilot-Wave Framework. The key dynamical features responsible for the quantum features of the walking-droplet system are the resonance between the particle and the wave, and the concomitant lingering quasi-monochromatic pilot-wave field.

3. thales.mit.edu › bush › wp-contentPilot-Wave Hydrodynamics - Massachusetts Institute of Technology

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   Pilot-Wave Theories. The first pilot-wave theory was proposed by de Broglie (1923), who envisaged microscopic particles being guided by an accompanying wave field, pushed in a direction perpendicular to surfaces of constant phase (de Broglie 1926, 1930; Bacchiagaluppi & Valentini 2009).

4. dspace.mit.edu › handle › 1721Pilot-wave hydrodynamics

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   It then reviews theoretical descriptions of this hydrodynamic pilot-wave system that yield insight into the origins of its quantumlike 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.

5. www.semanticscholar.org › paper › Pilot-Wave[PDF] Pilot-Wave Hydrodynamics | Semantic Scholar

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   Jan 5, 2015 · The walking droplet system discovered by Yves Couder and Emmanuel Fort presents an example of a vibrating particle self-propelling through a resonant interaction with its own wave field, and a generalized theoretical framework that provides a mathematical bridge between the hydrodynamic pilot-wave system and various realist models of quantum ...

6. thales.mit.edu › pilot-wave-hydrodynamics-a-reviewPilot-wave hydrodynamics. ARFM, 2015 - John W. M. Bush

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   Jun 18, 2015 · 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.

7. People also ask

   Are pilot-wave systems a bridge between walking-droplet systems and quantum dynamics?

   • We have also developed and explored theoretically a broader class of pilot-wave systems that provide a mathematical bridge between the walking-droplet system and the dynamics proposed by Louis de Broglie and others for the microscopic, quantum realm.

   Pilot-wave hydrodynamics - John W. M. Bush

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   What is the generalized pilot-wave framework?

   • The generalized pilot-wave framework also provides a basis for comparing the walking-droplet system with quantum pilot-wave theories, including those of Louis de Broglie and David Bohm, thereby providing a mathematical bridge between the macroscopic and microscopic realms.

   Pilot-wave hydrodynamics - John W. M. Bush

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   Can pilot-wave dynamics give rise to nonlocal behaviour?

   • Our work has demonstrated that the mean pilot-wave potential can play a role analogous to the non-local quantum potential in Bohmian mechanics and so makes clear how classical, local pilot-wave dynamics can give rise to apparently nonlocal behaviour.

   Pilot-wave hydrodynamics - John W. M. Bush

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   What are some new Hydrodynamic analogs?

   • We have also discovered and explored a number of new HQAs, including walkers in corrals, Friedel oscillations and spin lattices. Likewise, we have examined a number of new hydrodynamic analogs of optical systems, including analogs of the Talbot effect and optical dimers.

   Pilot-wave hydrodynamics - John W. M. Bush

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8. www.annualreviews.org › doi › absPilot-Wave Hydrodynamics | Annual Review of Fluid Mechanics

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   Pilot-Wave Hydrodynamics. Annual Review of Fluid Mechanics. Vol. 47:269-292 (Volume publication date January 2015) First published online as a Review in Advance on September 10, 2014. https://doi.org/10.1146/annurev-fluid-010814-014506. John W.M. Bush.