Inflation including collapse of the wave function: The quasi-de Sitter case

Abstract

The precise physical mechanism describing the emergence of the seeds of cosmic structure from a perfect isotropic and homogeneous universe has not been fully explained by the standard version of inflationary models. To handle this shortcoming, D. Sudarsky and collaborators have developed a proposal: the self-induced collapse hypothesis. In this scheme, the objective collapse of the inflaton wave function is responsible for the emergence of inhomogeneity and anisotropy at all scales. In previous papers, the proposal was developed with an almost exact de Sitter space-time approximation for the background that led to a perfect scale-invariant power spectrum. In the present article, we consider a full quasi-de Sitter expansion and calculate the primordial power spectrum for three different choices of the self-induced collapse. The consideration of a quasi-de Sitter background allow us to distinguish departures from an exact scale-invariant power spectrum that are due to the inclusion of the collapse hypothesis. These deviations are also different from the prediction of standard inflationary models with running spectral index. Comparison with the primordial power spectrum and the CMB temperature fluctuation spectrum preferred by the latest observational data is also discussed. From the analysis performed in this work, it follows that most of the collapse schemes analysed in this paper are viable candidates to explain present observations of the CMB fluctuation spectrum.

arXiv comment24 pages, 12 figures. Replaced to match published version

References in corpus (37)

• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Dynamical Reduction Models
• Planck 2013 results. XV. CMB power spectra and likelihood
• Horizon crossing and inflation with large η
• Toward an Understanding of Foreground Emission in the BICEP2 Region
• The Atacama Cosmology Telescope: Temperature and Gravitational Lensing Power Spectrum Measurements from Three Seasons of Data
• A measurement of secondary cosmic microwave background anisotropies with two years of South Pole Telescope observations
• On matching conditions for cosmological perturbations
• Relativistic state reduction dynamics
• Against Many-Worlds Interpretations
• On the quantum origin of the seeds of cosmic structure
• A joint analysis of Planck and BICEP2 B modes including dust polarization uncertainty
• Cosmological Inflation and the Quantum Measurement Problem
• Shortcomings in the Understanding of Why Cosmological Perturbations Look Classical
• CSL Wave Function Collapse Model as a Mechanism for the Emergence of Cosmological Asymmetries in Inflation
• Inflationary Perturbations: the Cosmological Schwinger Effect
• Fingerprints of Galactic Loop I on the Cosmic Microwave Background
• A Relativistic Dynamical Collapse Model
• Phenomenological analysis of quantum collapse as source of the seeds of cosmic structure
• Quantum to Classical Transition of Inflationary Perturbations - Continuous Spontaneous Localization as a Possible Mechanism -
• Towards a formal description of the collapse approach to the inflationary origin of the seeds of cosmic structure
• Cosmological constraints on non-standard inflationary quantum collapse models
• Quantum origin of the primordial fluctuation spectrum and its statistics
• The slow roll condition and the amplitude of the primordial spectrum of cosmic fluctuations: Contrasts and similarities of standard account and the "collapse scheme"
• Classicalization of inflationary perturbations by collapse models in the light of BICEP2
• Multiple quantum collapse of the inflaton field and its implications on the birth of cosmic structure
• The collapse of the wave function in the joint metric-matter quantization for inflation
• The basis problem in many-worlds theories
• The Seeds of Cosmic structure as a door to New Physics
• Inflation without quantum gravity
• Quantum collapse as source of the seeds of cosmic structure during the radiation era

Cited by in corpus (14)

• Quantum Discord of Cosmic Inflation: Can we Show that CMB Anisotropies are of Quantum-Mechanical Origin?
• Present status and future challenges of non-interferometric tests of collapse models
• Impact of dynamical collapse models on inflationary cosmology
• Emergence of inflationary perturbations in the CSL model
• Expectation of primordial gravity waves generated during inflation
• Constraining quantum collapse inflationary models with CMB data
• In search of an observational quantum signature of the primordial perturbations in slow-roll and ultra slow-roll inflation
• Constraining quantum collapse inflationary models with current data: The semiclassical approach
• Primordial gravitational waves and the collapse of the wave function
• Inflationary gravitational waves in collapse scheme models
• A note on the semiclassicality of cosmological perturbations
• Novel vacuum conditions in inflationary collapse models
• Observational constraints on inflationary potentials within the quantum collapse framework
• Constraining tachyonic inflationary β-exponential model with Continuous Spontaneous Localization collapse scheme