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Replication regulates volume weighting in quantum cosmology

J. Hartle T. Hertog 1
1 APC - THEORIE
Institut für theoretische Physik, APC (UMR_7164) - AstroParticule et Cosmologie
Abstract : Probabilities for observations in cosmology are conditioned both on the Universe's quantum state and on local data specifying the observational situation. We show the quantum state defines a measure for prediction through such conditional probabilities that is well-behaved for spatially large or infinite universes when the probabilities that our data are replicated are taken into account. In histories where our data are rare volume weighting connects top-down probabilities conditioned on both the data and the quantum state to the bottom-up probabilities conditioned on the quantum state alone. We apply these principles to a calculation of the number of inflationary e-folds in a homogeneous, isotropic minisuperspace model with a single scalar field moving in a quadratic potential. We find that volume weighting is justified and the top-down probabilities favor a large number of e-folds, hereby predicting the curvature of our Universe at the present time to be approximately zero.
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http://hal.in2p3.fr/in2p3-00722556
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Submitted on : Thursday, August 2, 2012 - 2:42:02 PM
Last modification on : Wednesday, October 21, 2020 - 4:32:15 PM

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J. Hartle, T. Hertog. Replication regulates volume weighting in quantum cosmology. Physical Review D, American Physical Society, 2009, 80, pp.063531. ⟨10.1103/PhysRevD.80.063531⟩. ⟨in2p3-00722556⟩

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