Bohmian mechanics versus Madelung quantum hydrodynamics

TL;DR

The paper compares Bohmian mechanics and Madelung quantum hydrodynamics, proposing a new stochastic interpretation and complex hydrodynamics that better explain quantum evolution without the Bohm potential.

Contribution

It demonstrates the differences between the theories, introduces a new stochastic interpretation, and proposes a complex hydrodynamics model that removes the Bohm quantum potential.

Findings

Madelung hydrodynamics is a better ontological interpretation than Bohmian mechanics.

A new stochastic interpretation of quantum mechanics is introduced.

A complex hydrodynamics model eliminates the Bohm quantum potential.

Abstract

It is shown that the Bohmian mechanics and the Madelung quantum hydrodynamics are different theories and the latter is a better ontological interpretation of quantum mechanics. A new stochastic interpretation of quantum mechanics is proposed, which is the background of the Madelung quantum hydrodynamics. Its relation to the complex mechanics is also explored. A new complex hydrodynamics is proposed, which eliminates completely the Bohm quantum potential. It describes the quantum evolution of the probability density by a convective diffusion with imaginary transport coefficients.