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
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- Bell J.S. 1987b Cambridge:Cambridge University Press.
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Items 101–144 of 144
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.007
Experiments: Quantum Reduction Seen in Real Time
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.013
Bezryadin, A. (2012) · doi:10.1002/9783527651931.refs
Impossibility of Superluminal Communication
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.022
Bell Inequalities in Nondeterministic Local Theories
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.018
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.015
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.001
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.002
Consistent Families of Histories
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.027
Annex: Basic Mathematical Tools of Quantum Mechanics
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.016
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.029
Tumulka, R. (2022) · Lecture notes in physics · doi:10.1007/978-3-031-09548-1_6
Self-citationPearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0006
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0013
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0010
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.002.0007
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0007
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0002
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.002.0004
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0005
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0001
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0004
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0008
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0014
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0006
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0003
Theoretical Constraint Calculations
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0007
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0004
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0011
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0009
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0012
Spontaneous Localization (SL) Theory
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.003.0005
Brownian Motion/Wiener Process
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.005.0003
Pearle, P. (2024) · doi:10.1093/oso/9780198901372.002.0005
Making Sense of Quantum Superposition
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Fully self-consistent semiclassical gravity
Muciño, R., Okon, E., Sudarsky, D., et al. (2025) · Physical review. D/Physical review. D. · doi:10.1103/dzgc-8q7n
“For instance, [23] introduces a relativistic GRW for N non-interacting Dirac particles.”
Avoiding Sparseness in a Flash Ontology
Coles, J. (2026) · Foundations of Physics · doi:10.1007/s10701-025-00908-4
“The flashes can be thought of as replacing the continuous particle trajec - tories in space-time postulated by classical mechanics” ([ 19 ], §2).”
Tracing Gravity-Induced Collapse Through X-ray Emission Patterns
Piscicchia, K., Artibani, F., Bazzi, M., Bortolotti, N., Clozza, A., Clozza, F., Paolis, L. D., Grande, R. D., Donadi, S., Guaraldo, C., et al. (2025) · Photonics & Electromagnetics Research Symposium - Fall (PIERS-Fall) · doi:10.23919/piers-fall62445.2025.11394585
Bricmont, J. (2026) · History of physics · doi:10.1007/978-3-032-24093-4_6
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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