Revisiting de Broglie's double-solution pilot-wave theory with a Lorentz-covariant Lagrangian framework

D Darrow, JWM Bush - Symmetry, 2024 - mdpi.com
The relation between de Broglie's double-solution approach to quantum dynamics and the
hydrodynamic pilot-wave system has motivated a number of recent revisitations and …

Pilot-wave dynamics in a rotating frame: the onset of orbital instability

N Liu, M Durey, JWM Bush - Journal of Fluid Mechanics, 2023 - cambridge.org
We report the results of a theoretical investigation of the stability of a hydrodynamic
analogue of Landau levels, specifically circular orbits arising when a millimetric droplet self …

Nonresonant effects in pilot-wave hydrodynamics

BK Primkulov, DJ Evans, JB Been, JWM Bush - Physical Review Fluids, 2025 - APS
Pilot-wave hydrodynamics concerns the dynamics of “walkers,” droplets walking on a
vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum …

[HTML][HTML] Attractor-driven matter

RN Valani, DM Paganin - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The state of a classical point-particle system may often be specified by giving the position
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …

[HTML][HTML] Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave–particle entity in a periodic potential

J Perks, RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
A classical wave–particle entity (WPE) can be realized experimentally as a droplet walking
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …

[HTML][HTML] Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations

RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
A classical wave-particle entity (WPE) can materialize as a millimeter-sized droplet walking
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …

Pseudolaminar chaos from on-off intermittency

D Müller-Bender, RN Valani, G Radons - Physical Review E, 2023 - APS
In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …

A mechanical analog of Bohr's atom based on de Broglie's double-solution approach

P Jamet, A Drezet - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
Motivated by recent developments of hydrodynamical quantum mechanical analogs [JWM
Bush, Annu. Rev. Fluid Mech. 47, 269–292 (2015)], we provide a relativistic model for a …

Convergence to Bohmian mechanics in a de Broglie-like pilot-wave system

D Darrow - Foundations of Physics, 2025 - Springer
Bohmian mechanics supplements the quantum wavefunction with deterministic particle
trajectories, offering an alternate, dynamical language for quantum theory. However, the …

Overload wave-memory induces amnesia of a self-propelled particle

M Hubert, S Perrard, N Vandewalle… - Nature …, 2022 - nature.com
Abstract Information storage is a key element of autonomous, out-of-equilibrium dynamics,
especially for biological and synthetic active matter. In synthetic active matter however, the …