de Broglie's double solution program: 90 years later

Abstract

Since de Broglie's pilot wave theory was revived by David Bohm in the 1950's, the overwhelming majority of researchers involved in the field have focused on what is nowadays called de Broglie-Bohm dynamics and de Broglie's original double solution program was gradually forgotten. As a result, several of the key concepts in the theory are still rather vague and ill-understood. In the light of the progress achieved over the course of the 90 years that have passed since de Broglie's presentation of his ideas at the Solvay conference of 1927, we reconsider in the present paper the status of the double solution program. More than a somewhat dusty archaeological piece of history of science, we believe it should be considered as a legitimate attempt to reconcile quantum theory with realism.

30 pages, 2 figures

References in corpus (18)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Testing spooky action at a distance
• Quantum Superposition of Massive Objects and Collapse Models
• Ultra-weak long-range interactions of solitons observed over astronomical distances
• Dynamical Origin of Quantum Probabilities
• The Schrödinger-Newton equation and its foundations
• Timescales for dynamical relaxation to the Born rule
• Soliton Solutions of the KP Equation with V-Shape Initial Waves
• Dividing Line between Quantum and Classical Trajectories: Bohmian Time Constant
• Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
• Instability of quantum equilibrium in Bohm's dynamics
• A possible experimental test of quantized gravity
• Stochastic extensions of the regularized Schrödinger-Newton equation
• Origin of chaos in 3-d Bohmian trajectories
• On Soliton Content of Self Dual Yang-Mills Equations
• Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation
• How to justify Born's rule using the pilot wave theory of de Broglie?
• Generalized guidance equation for peaked quantum solitons: the single particle case

Cited by in corpus (4)

• Equivalent quantum equations in a system inspired by bouncing droplets experiments
• Revisiting de Broglie's Double-Solution Pilot-Wave Theory with a Lorentz-Covariant Lagrangian Framework
• Concept of introverted space: is extroverted, multidimensional space an illusion?
• Plasma-like Description for Elementary and Composite Quantum Particles