Juárez-Aubry, Benito Alberto orcid.org/0000-0002-7739-4293, Kay, Bernard S. orcid.org/0000-0002-8766-0532 and Sudarsky, Daniel (2018) Generally covariant dynamical reduction models and the Hadamard condition. Physical Review D. 025010. pp. 1-19. ISSN 2470-0029
Abstract
We recall and review earlier work on dynamical reduction models, both non-relativistic and relativistic, and discuss how they may relate to suggestions which have been made (including the matter-gravity entanglement hypothesis of one of us) for how quantum gravity could be connected to the resolution of the quantum-mechanical measurement problem. We then provide general guidelines for generalizing dynamical reduction models to curved spacetimes and propose a class of generally covariant relativistic versions of the GRW model. We anticipate that the collapse operators of our class of models may play a r\^ole in a yet-to-be-formulated theory of semiclassical gravity with collapses. We show explicitly that the collapse operators map a dense domain of states that are initially Hadamard to final Hadamard states -- a property that we expect will be needed for the construction of such a semiclassical theory. Finally, we provide a simple example in which we explicitly compute the violations in energy-momentum due to the state reduction process and conclude that this violation is of the order of a parameter of the model -- supposed to be small. We briefly discuss how this work may, upon further development of a suitable semiclassical gravity theory with collapses, enable further progress to be made on earlier work one of us and collaborators on the explanation of structure-formation in a homogeneous and isotropic quantum universe and on a possible resolution of the black hole information loss puzzle.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 American Physical Society |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) The University of York |
Depositing User: | Pure (York) |
Date Deposited: | 07 Feb 2018 10:00 |
Last Modified: | 22 Dec 2024 00:12 |
Published Version: | https://doi.org/10.1103/PhysRevD.97.025010 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevD.97.025010 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:127190 |