Rosaler, Joshua
(2015)
Interpretation Neutrality in the Classical Domain of Quantum Theory.
[Preprint]
Abstract
I show explicitly how concerns about wave function collapse and ontology can be decoupled from the bulk of technical analysis necessary to recover localized, approximately Newtonian trajectories from quantum theory. In doing so, I demonstrate that the account of classical behavior provided by decoherence theory can be straightforwardly tailored to give accounts of classical behavior on multiple interpretations of quantum theory, including the Everett, de BroglieBohm and GRW interpretations. I further show that this interpretationneutral, decoherencebased account conforms to a general view of intertheoretic reduction in physics that I have elaborated elsewhere, which differs from the oversimplified and often ambiguous picture that treats reduction simply as a matter of taking limits. This interpretationneutral account rests on a general threepronged strategy for reduction between quantum and classical theories that combines decoherence, an appropriate form of Ehrenfest's Theorem, and a decoherencecompatible mechanism for collapse. It also incorporates a novel argument as to why branchrelative trajectories should be approximately Newtonian, which is based on a littlediscussed extension of Ehrenfest's Theorem to open systems, rather than on the more commonly cited but less germane closedsystems version. In the Conclusion, I briefly suggest how the strategy for quantumclassical reduction described here might be extended to reduction between other classical and quantum theories, including classical and quantum field theory and classical and quantum gravity.
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Interpretation Neutrality in the Classical Domain of Quantum Theory. (deposited 14 Oct 2015 13:24)
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