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arXiv:2304.03423 · Foundations of Physics

A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory

Davide Romano

Published Mar 21, 2023• 3 citations
arXivHTMLPDF
DOI
10.1007/s10701-023-00679-w

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A Proposal for the Classical Limit in Bohm's Theory

Davide Romano

In this paper, I describe a general strategy for deriving Newtonian mechanics from Bohm’s theory in the classical macroscopic regime. The strategy is based on two main steps: (i) the use of open systems, leading to the formation of independent subsystems; (ii) the analysis of the quantum potential for the emergent subsystems. The first step leads to and explains (within the Bohmian framework) the well-known phenomenon of decoherence. The second one provides a precise criterion for the emergence of Newtonian trajectories. In particular, I will show that, under reasonable classicality conditions, the quantum potential of the emergent subsystems becomes negligible. As a consequence, these systems will follow an approximately Newtonian dynamics.

•Aug 3, 2019•0 citations
In this paper, I describe a general strategy for deriving Newtonian mechanics from Bohm’s theory in the classical macroscopic regime. The strategy is based on two main steps: (i) the use of open systems, leading to the formation of independent subsystems; (ii) the analysis of the quantum potential for the emergent subsystems. The first step leads to and explains (within the Bohmian framework) the well-known phenomenon of decoherence. The second one provides a precise criterion for the emergence of Newtonian trajectories. In particular, I will show that, under reasonable classicality conditions, the quantum potential of the emergent subsystems becomes negligible. As a consequence, these systems will follow an approximately Newtonian dynamics.