Inertial Trajectories in de Broglie-Bohm Quantum Theory: An Unexpected Problem

International Studies in the Philosophy of Science 30 (3):201-230 (2016)
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Abstract

A salient feature of de Broglie-Bohm quantum theory is that particles have determinate positions at all times and in all physical contexts. Hence, the trajectory of a particle is a well-defined concept. One then may expect that the closely related notion of inertial trajectory is also unproblematically defined. I show that this expectation is not met. I provide a framework that deploys six different ways in which dBB theory can be interpreted, and I state that only in the canonical interpretation the concept of inertial trajectory is the customary one. However, in this interpretation the description of the dynamical interaction between the pilot-wave and the particles, which is crucial to distinguish inertial from non-inertial trajectories, is affected by serious difficulties, so other readings of the theory intend to avoid them. I show that in the alternative interpretations the concept at issue gets either drastically altered, or plainly undefined. I also spell out further conceptual difficulties that are associated to the redefinitions of inertial trajectories, or to the absence of the concept.

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Pablo Acuña
Pontificia Universidad Católica de Valparaíso

References found in this work

The Ontology of Bohmian Mechanics.M. Esfeld, D. Lazarovici, Mario Hubert & D. Durr - 2014 - British Journal for the Philosophy of Science 65 (4):773-796.
Quantum theory at the crossroads: reconsidering the 1927 Solvay conference.Guido Bacciagaluppi - 2007 - New York: Cambridge University Press. Edited by Antony Valentini.
Quantum states for primitive ontologists: A case study.Gordon Belot - 2012 - European Journal for Philosophy of Science 2 (1):67-83.

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