Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-24
Phys.Rev.D80:063531,2009
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 3 figures; v2: correction case of data on multiple surfaces, clarification objectivity
Scientific paper
10.1103/PhysRevD.80.063531
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 is 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.
Hartle James
Hertog Thomas
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