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arXiv:quant-ph/0603027quant-ph

On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory

Valia Allori, Sheldon Goldstein, Roderich Tumulka, Nino Zanghi

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Abstract

Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about ``matter'' moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of space-time points. The role of the wave function then is to govern the motion of the matter.

arXiv comments
35 pages LaTeX, 1 figure; v4 minor additions, v2 major revision
Journal reference
Brit.J.Phil.Sci.59:353-389,2008
DOI
doi:10.1093/bjps/axn012
Subjects
quant-phQuantum Physics

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  1. The Chinese Room Argument 1 comment
    • Thinking out loud here I guess, but I'd like to hear Eliezer's opinion on the interpretations of QM that do reconcile conscious experience with these probabilities in a way that doesn't require splitting worlds, like these: http://arxiv.org/pdf/quant-ph/0603027

      lgView on HNParent context

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