The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
On spontaneous wave function collapse and quantum field theory
Open accessAbstract
One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schrödinger evolution by implementing spontaneous collapses of the wave function. An explicit model of this kind was proposed in 1986 by Ghirardi, Rimini & Weber (GRW), involving a nonlinear, stochastic evolution of the wave function. We point out how, by focusing on the essential mathematical structure of the GRW model and a clear ontology, it can be generalized to (regularized) quantum field theories in a simple and natural way.
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“Assumption (Q) is manifestly violated by theories that postulate a modification of standard quantum mechanics, such as spontaneous16–20 and gravity-induced21–23 collapse models (cf. 24 for a review).”
From Quantum theory cannot consistently describe the use of itself (2018) · cites this paper as [19]
Citations
Cites
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985
Unified dynamics for microscopic and macroscopic systems
Ghirardi, G. C., Rimini, A., & Weber, T. (1986) · Physical Review D · doi:10.1103/physrevd.34.470 · Cited by 2,798
Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy
Bell, J. S., & Aspect, A. (2004) · doi:10.1017/cbo9780511815676 · Cited by 1,261
Ghirardi, G. C., Pearle, P., & Rimini, A. (1990) · Physical Review A · doi:10.1103/physreva.42.78 · Cited by 1,142
Combining stochastic dynamical state-vector reduction with spontaneous localization
Pearle, P. (1989) · Physical Review A · doi:10.1103/physreva.39.2277 · Cited by 942
Bassi, A., & Ghirardi, G. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00103-0 · Cited by 725
Testing the limits of quantum mechanics: motivation, state of play, prospects
Leggett, A. J. (2002) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/14/15/201 · Cited by 719
Quantum Measurements and Stochastic Processes
Gisin, N. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1657 · Cited by 546
Dynamical Reduction ModelsPreprint
Bassi, A., & Ghirardi, G. (2003) · Cited by 539
Reduction of the state vector by a nonlinear Schrödinger equation
Pearle, P. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.857 · Cited by 466
Research works printed but not linked: 4
- Bell J.S, 1987, Schrödinger. Centenary of a polymath, pp. 41–52
- Bell J.S. 1987b Cambridge:Cambridge University Press.
- Bell J.S, 1989, Themes in contemporary physics, II, 1
- Pearle P, 1990, Vol. 226 of NATO ASI Series B, 193
Cited by
Sorted by citations
Models of wave-function collapse, underlying theories, and experimental tests
Bassi, A., Lochan, K., Satin, S., Singh, T. P., & Ulbricht, H. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.471 · Cited by 1,170
“The Tumulka-GRW model (Tumulka, 2006a) and the CSL model belong to this group.”
BackgroundMethodQuantum theory cannot consistently describe the use of itself
Frauchiger, D., & Renner, R. (2018) · Nature Communications · doi:10.1038/s41467-018-05739-8 · Cited by 333
Quantum theory cannot consistently describe the use of itself
Frauchiger, D., & Renner, R. (2018) · RePEc: Research Papers in Economics · doi:10.3929/ethz-b-000293141 · Cited by 241
On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory
Allori, V., Goldstein, S., Tumulka, R., & Zanghı̀, N. (2008) · The British Journal for the Philosophy of Science · doi:10.1093/bjps/axn012 · Cited by 221
“According to another version of the GRW theory, which was first suggested by Bell [12, 14], then adopted in [32, 44, 34, 3, 45], and here denoted GRWf, the PO is given by “events” in space-time called flashes, mathematically described by points in spacetime.”
MethodSelf-citationOn the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber TheoryPreprint
Allori, V., Goldstein, S., Tumulka, R., & Zanghı̀, N. (2006) · PhilSci-Archive (University of Pittsburgh) · Cited by 214
Self-citation
Metadata
- Authors
- Tumulka, R.
- Affiliations
- University of Tübingen (DE)
- Corresponding author
- Tumulka, Roderich
- ORCID
- Tumulka, Roderich
- Venue
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2006-03-24
- Volume
- 462
- Issue
- 2070
- Pages
- 1897-1908
- ISSN
- 1364-5021 (ISSN-L)
- 1471-2946
- OpenAlex
- W2171676563
- Semantic Scholar
- f38d4feb837d3751b34a795211435f04bb0dd89c
- Cited by
- 144
- References
- 32
- Citations by year
- 2026: 4 · 2025: 6 · 2024: 30 · 2023: 3 · 2022: 5 · 2021: 4 · 2020: 1 · 2019: 30 · 2018: 6 · 2017: 6 · 2016: 2 · 2015: 3 · 2014: 6 · 2013: 3 · 2012: 18
- FWCI
- 3.66
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- spontaneous wave function collapse, quantum field theory, measurement problem, quantum ontology, regularization
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