Generally covariant dynamical reduction models and the Hadamard condition

We provide general guidelines for generalizing dynamical reduction models to curved spacetimes and propose a class of generally covariant relativistic versions of the Ghirardi-Rimini-Weber model. We anticipate that the collapse operators of our class of models may play a role in a yet-to-be-formulat...

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Bibliographic Details
Published in:Physical review. D 2018-01, Vol.97 (2), Article 025010
Main Authors: Juárez-Aubry, Benito A., Kay, Bernard S., Sudarsky, Daniel
Format: Article
Language:English
Subjects:
Gravitational collapse
Operators
Order parameters
State reduction
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Summary:We provide general guidelines for generalizing dynamical reduction models to curved spacetimes and propose a class of generally covariant relativistic versions of the Ghirardi-Rimini-Weber model. We anticipate that the collapse operators of our class of models may play a role 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.97.025010