A Relativistic Version of the Ghirardi–Rimini–Weber Model
 Roderich Tumulka
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Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the GhirardiRiminiWeber (GRW) model of spontaneous wavefunction collapse. The GRW model was proposed as a solution of the measurement problem of quantum mechanics and involves a stochastic and nonlinear modification of the Schrödinger equation. It deviates very little from the Schrödinger equation for microscopic systems but efficiently suppresses, for macroscopic systems, superpositions of macroscopically different states. As suggested by Bell, we take the primitive ontology, or local beables, of our model to be a discrete set of spacetime points, at which the collapses are centered. This set is random with distribution determined by the initial wavefunction. Our model is nonlocal and violates Bell’s inequality though it does not make use of a preferred slicing of spacetime or any other sort of synchronization of spacelike separated points. Like the GRW model, it reproduces the quantum probabilities in all cases presently testable, though it entails deviations from the quantum formalism that are in principle testable. Our model works in Minkowski spacetime as well as in (wellbehaved) curved background spacetimes.
 Title
 A Relativistic Version of the Ghirardi–Rimini–Weber Model
 Journal

Journal of Statistical Physics
Volume 125, Issue 4 , pp 821840
 Cover Date
 200611
 DOI
 10.1007/s1095500692273
 Print ISSN
 00224715
 Online ISSN
 15729613
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 Spontaneous wavefunction collapse
 relativity
 quantum theory without observers
 Industry Sectors
 Authors

 Roderich Tumulka ^{(1)}
 Author Affiliations

 1. Mathematisches Institut, EberhardKarlsUniversität, Auf der Morgenstelle 10, 72076, Tübingen, Germany