Generally covariant dynamical reduction models and the Hadamard condition

Benito A. Juárez-Aubry, Bernard S. Kay, and Daniel Sudarsky
Phys. Rev. D 97, 025010 – Published 17 January 2018

Abstract

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.

  • Received 6 September 2017

DOI:https://doi.org/10.1103/PhysRevD.97.025010

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & FieldsGeneral Physics

Authors & Affiliations

Benito A. Juárez-Aubry*

  • Departamento de Gravitación y Teoría de Campos, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, Mexico City 045010, Mexico

Bernard S. Kay

  • Department of Mathematics, University of York, York YO10 5DD, United Kingdom

Daniel Sudarsky

  • Departamento de Gravitación y Teoría de Campos, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, Mexico City 045010, Mexico

  • *benito.juarez@correo.nucleares.unam.mx
  • bernard.kay@york.ac.uk
  • daniel.sudarsky@nucleares.unam.mx

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Issue

Vol. 97, Iss. 2 — 15 January 2018

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