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arXiv · 1708.09371

Generally covariant dynamical reduction models and the Hadamard condition

Benito A. Juárez-Aubry·Bernard S. Kay·Daniel Sudarsky
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Abstract

We 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.

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Benito A. Juárez-Aubry, Bernard S. Kay, Daniel Sudarsky. 2017-08-30. Generally covariant dynamical reduction models and the Hadamard condition. https://doi.org/10.1103/physrevd.97.025010

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