1999/04/13 by Jerome Martin, Jérôme Martin, Alain Riazuelo +1 · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Solar and Space Plasma Dynamics #astro-ph #gr-qc #quant-ph
paper · pdf · doi:10.1103/physrevd.61.083518
published as Phys.Rev. D61 (2000) 083518 · revtex, 15 pages, 10 figures. Submitted to Phys.Rev.D
arxiv created 1999/04/13 · openalex publication_date 2000/03/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of inflation, nonvacuum initial states for cosmological perturbations that possess a built in scale are studied. It is demonstrated that this assumption leads to a falsifiable class of models. The question of whether they lead to conflicts with the available observations is addressed. For this purpose, the power spectrum of the Bardeen potential operator is calculated and compared with the CMBR anisotropies measurements and the redshift surveys of galaxies and clusters of galaxies. Generic predictions of the model are a high first acoustic peak, the presence of a bump in the matter power spectrum and non-Gaussian statistics. The details are controlled by the number of quanta in the nonvacuum initial state. Comparisons with observations show that there exists a window for the free parameters such that good agreement between the data and theoretical predictions is possible. However, in the case where the initial state is a state with a fixed number of quanta, it is shown that this number cannot be greater than a few. On the other hand, if the initial state is a quantum superposition, then a larger class of initial states could account for the observations, even though the state cannot be too different from the vacuum. Planned missions such as the MAP and Planck satellites and the Sloan Survey will demonstrate whether the new class of models proposed here represents a viable alternative to the standard theory.