{ "id": "quant-ph/0603027", "version": "v4", "published": "2006-03-03T16:07:29.000Z", "updated": "2007-06-04T12:10:22.000Z", "title": "On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory", "authors": [ "Valia Allori", "Sheldon Goldstein", "Roderich Tumulka", "Nino Zanghi" ], "comment": "35 pages LaTeX, 1 figure; v4 minor additions, v2 major revision", "journal": "Brit.J.Phil.Sci.59:353-389,2008", "doi": "10.1093/bjps/axn012", "categories": [ "quant-ph" ], "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 Schr\\\"odinger'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.", "revisions": [ { "version": "v4", "updated": "2007-06-04T12:10:22.000Z" } ], "analyses": { "subjects": [ "03.65.Ta" ], "keywords": [ "bohmian mechanics", "ghirardi-rimini-weber theory", "wave function", "common structure", "postulates additional variables" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable", "inspire": 722350, "adsabs": "2006quant.ph..3027A" } } }