Editing Pilot wave theory (section)

==Macroscopic analog==
Couder, Fort, ''et al.'' claimed<ref>{{Citation |title=Yves Couder . Explains Wave/Particle Duality via Silicon Droplets [Through the Wormhole] | date=2 August 2011 |url=https://www.youtube.com/watch?v=W9yWv5dqSKk |access-date=2023-08-26 |language=en}}</ref> that macroscopic oil droplets on a vibrating fluid bath can be used as an analogue model of pilot waves; a localized droplet creates a periodical wave field around itself. They proposed that resonant interaction between the droplet and its own wave field exhibits behaviour analogous to quantum particles: interference in double-slit experiment,<ref>{{Cite journal |last1=Couder |first1=Yves |last2=Fort |first2=Emmanuel |year=2006 |title=Single-Particle Diffraction and Interference at a Macroscopic Scale |journal=Physical Review Letters |volume=97 |issue=15 |pages=154101 |bibcode=2006PhRvL..97o4101C |doi=10.1103/PhysRevLett.97.154101 |pmid=17155330|url=https://www.repository.cam.ac.uk/handle/1810/350127 }}</ref> unpredictable tunneling<ref>{{Cite journal |last1=Eddi |first1=A. |last2=Fort |first2=E. |last3=Moisy |first3=F. |last4=Couder |first4=Y. |year=2009 |title=Unpredictable Tunneling of a Classical Wave-Particle Association |journal=Physical Review Letters |volume=102 |issue=24 |pages=240401 |bibcode=2009PhRvL.102x0401E |doi=10.1103/PhysRevLett.102.240401 |pmid=19658983}}</ref> (depending in a complicated way on a practically hidden state of field), orbit quantization<ref>{{cite journal |last1=Fort |first1=E. |last2=Eddi |first2=A. |last3=Boudaoud |first3=A. |last4=Moukhtar |first4=J. |last5=Couder |first5=Y. |year=2010 |title=Path-memory induced quantization of classical orbits |journal=PNAS |volume=107 |issue=41 |pages=17515–17520 |arxiv=1307.6051 |bibcode=2010PNAS..10717515F |doi=10.1073/pnas.1007386107 |pmc=2955113 |s2cid=53462533 |doi-access=free}}</ref> (that a particle has to 'find a resonance' with field perturbations it creates—after one orbit, its internal phase has to return to the initial state) and [[Zeeman effect]].<ref>{{Cite journal |last1=Eddi |first1=A. |last2=Moukhtar |first2=J. |last3=Perrard |first3=S. |last4=Fort |first4=E. |last5=Couder |first5=Y. |year=2012 |title=Level Splitting at Macroscopic Scale |journal=Physical Review Letters |volume=108 |issue=26 |pages=264503 |bibcode=2012PhRvL.108z4503E |doi=10.1103/PhysRevLett.108.264503 |pmid=23004988}}</ref> While attempts to reproduce these experiments have shown some aspects to be questionable<ref>{{cite journal |last1=Pucci |first1=G. |date=2018 |title=Walking droplets interacting with single and double slits |url=http://math.mit.edu/~bush/wordpress/wp-content/uploads/2017/12/Pucci-Slits-2017.pdf |journal=Journal of Fluid Mechanics |volume=835 |issue=835 |pages=1136–1156 |bibcode=2018JFM...835.1136P |doi=10.1017/jfm.2017.790 |s2cid=37760205}}</ref> 
and the interpretation with respect to quantum mechanics has been challenged,<ref>{{cite journal |last1=Andersen |first1=Anders |date=2016 |title=Double-slit experiment with single wave-driven particles and its relation to quantum mechanics |url=https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.013006 |journal=Phys. Rev. E |volume=92 |issue=1 |pages=013006 |doi=10.1103/PhysRevE.92.013006 |pmid=26274269|url-access=subscription }}</ref> 
work on the concept has continued with some success.<ref>{{cite journal |last1=Bush |first1=John |date=2024 |title=Perspectives on pilot-wave hydrodynamics|url=http://thales.mit.edu/bush/wp-content/uploads/2024/08/Bush-AppliedPhysRev2024.pdf |journal=Applied Physics Letters|volume=125 |issue=1 |pages=030503 |doi=10.1063/5.0210055}}</ref>