Dissipative and quantum mechanics

TL;DR

This paper evaluates interpretations of dissipative quantum systems, concluding Madelung hydrodynamics is correct, and introduces a stochastic view linking vacuum fluctuations to quantum probabilism, incorporating thermal effects.

Contribution

It proposes a new stochastic interpretation of quantum mechanics based on Madelung hydrodynamics, emphasizing vacuum fluctuations as fundamental to quantum probabilism.

Findings

Madelung hydrodynamics is identified as the correct approach for dissipative quantum systems.

A stochastic reinterpretation links vacuum fluctuations to quantum behavior.

Thermal fluctuations are incorporated via a Langevin equation with two random forces.

Abstract

Three existing interpretations of quantum mechanics, given by Heisenberg, Bohm and Madelung, are examined to describe dissipative quantum systems as well. It is found that the Madelung quantum hydrodynamics is the only correct approach. A new stochastic reinterpretation of the quantum mechanics is proposed, which represents the microscopic face of the Madelung hydrodynamics. The main idea is that the vacuum fluctuates permanently, which explains the probabilistic character of the quantum mechanics. Thus, it is an objective theory independent of the human beings and their measurements. The effect of the thermal fluctuations in the surrounding is also accounted for via a heuristic Langevin equation with two random forces. Some statistical characteristics of these quantum and thermal noises are determined by reproducing known results for the system phase-space dynamics.