On the common structure of Bohmian mechanics and the Ghirardi–rimini–weber theory: Dedicated to Giancarlo Ghirardi on the occasion of his 70th birthday
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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British Journal for the Philosophy of Science 59 (3):353-389 (2008)
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. 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? CiteULike Connotea Del.icio.us What's this?
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References found in this work BETA
Hilary Putnam (2005). A Philosopher Looks at Quantum Mechanics (Again). British Journal for the Philosophy of Science 56 (4):615-634.
Citations of this work BETA
M. Esfeld (2014). Quantum Humeanism, Or: Physicalism Without Properties. Philosophical Quarterly 64 (256):453-470.
M. Esfeld, M. Hubert, D. Lazarovici & D. Durr (2014). The Ontology of Bohmian Mechanics. British Journal for the Philosophy of Science 65 (4):773-796.
Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (2013). Predictions and Primitive Ontology in Quantum Foundations: A Study of Examples. British Journal for the Philosophy of Science (2):axs048.
Michael Esfeld, Dustin Lazarovici, Vincent Lam & Mario Hubert (forthcoming). The Physics and Metaphysics of Primitive Stuff. British Journal for the Philosophy of Science:axv026.
V. Allori, S. Goldstein, R. Tumulka & N. Zanghi (2011). Many Worlds and Schrodinger's First Quantum Theory. British Journal for the Philosophy of Science 62 (1):1-27.
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Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (2008). On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory. British Journal for the Philosophy of Science 59 (3):353 - 389.
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