On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory Dedicated to GianCarlo Ghirardi on the occasion of his 70th birthday


Abstract
Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables 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. Introduction Bohmian Mechanics Ghirardi, Rimini, and Weber 3.1 GRWm 3.2 GRWf 3.3 Empirical equivalence between GRWm and GRWf Primitive Ontology 4.1 Primitive ontology and physical equivalence 4.2 Primitive ontology and symmetry 4.3 Without primitive ontology 4.4 Primitive ontology and quantum state Differences between BM and GRW 5.1 Primitive ontology and quadratic functionals 5.2 Primitive ontology and equivariance A Plethora of Theories 6.1 Particles, fields, and flashes 6.2 Schrödinger wave functions and many-worlds The Flexible Wave Function 7.1 GRWf without collapse 7.2 Bohmian mechanics with collapse 7.3 Empirical equivalence and equivariance What is a Quantum Theory without Observers&quest
Keywords Bohmian mechanics  GRW theory  primitive ontology
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DOI 10.1093/bjps/axn012
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References found in this work BETA

A Relativistic Version of the Ghirardi–Rimini–Weber Model.Roderich Tumulka - 2006 - Journal of Statistical Physics 125:821-840.

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Citations of this work BETA

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 Humeanism, Or: Physicalism Without Properties.Michael Esfeld - 2014 - Philosophical Quarterly 64 (256):453-470.
Quantum States for Primitive Ontologists: A Case Study.Gordon Belot - 2012 - European Journal for Philosophy of Science 2 (1):67-83.
The Physics and Metaphysics of Primitive Stuff.Michael Esfeld, Dustin Lazarovici, Vincent Lam & Mario Hubert - 2017 - British Journal for the Philosophy of Science 68 (1):133-61.

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