Cosmological consequences of statistical inhomogeneity
arXiv:2411.01331 · doi:10.1103/PhysRevD.111.023541
Abstract
A space-dependent mean for cosmological perturbations negates the ansatz of statistical homogeneity and isotropy, and hence ergodicity. In this work, we construct such a primordial mean of scalar perturbations from an alternative quantum initial state (coherent state) and examine the associated power and bi-spectra. A multitude of cosmological tests based on these spectra are discussed. We find that current cosmological data doesn't favor a primordial mean over large scales and strong constraints arise from the limit on bispectrum from Planck data. At small scales, this hypothesis can be tested by future observables such as -distortion of CMB.
v1: 14 pages (including supplemental material), 2 figures; v2: made minor updates in discussions and added references, version to appear in Phys. Rev. D
References in corpus (66)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Planck 2018 results. X. Constraints on inflation
- Non-Gaussianity from Inflation: Theory and Observations
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- The NANOGrav 15-year Data Set: Search for Signals from New Physics
- The Trans-Planckian Problem of Inflationary Cosmology
- The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
- Primordial Non-Gaussianities from Inflation Models
- The significance of the largest scale CMB fluctuations in WMAP
- Primordial black holes from single field models of inflation
- Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
- Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
- The axis of evil
- Planck 2018 results. VII. Isotropy and Statistics of the CMB
- Is the low-l microwave background cosmic?
- Primordial non-gaussianities in single field inflation
- CMB Anomalies after Planck
- Imprints of a Primordial Preferred Direction on the Microwave Background
- Enhanced Non-Gaussianity from Excited Initial States
- Is the Observable Universe Consistent with the Cosmological Principle?
- Features and New Physical Scales in Primordial Observables: Theory and Observation
- Signatures of Initial State Modifications on Bispectrum Statistics
- Asymmetries in the local curvature of the WMAP data
- Local Voids as the Origin of Large-angle Cosmic Microwave Background Anomalies I
- Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
- PBHs and secondary GWs from ultra slow roll and punctuated inflation
- Power asymmetry in WMAP and Planck temperature sky maps as measured by a local variance estimator
- Limits on anisotropic inflation from the Planck data
- Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
- Scale-dependent bias of galaxies and mu-type distortion of the cosmic microwave background spectrum from single-field inflation with a modified initial state
- PBH in single field inflation: the effect of shape dispersion and non-Gaussianities
- Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
- BINGO: A code for the efficient computation of the scalar bi-spectrum
- Effective field theory and non-Gaussianity from general inflationary states
- Inflation with General Initial Conditions for Scalar Perturbations
- Reconciliation of High Energy Scale Models of Inflation with Planck
- Constraints on mode couplings and modulation of the CMB with WMAP data
- Broken Isotropy from a Linear Modulation of the Primordial Perturbations
- A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
- Constant roll and primordial black holes
- Parity-violating CMB correlators with non-decaying statistical anisotropy
- The scalar bi-spectrum in the Starobinsky model: The equilateral case
- A comprehensive overview of the Cold Spot
- Non-Gaussianity from Excited Initial Inflationary States
- Non-Gaussianity Consistency Relations, Initial States and Back-reaction
- Translational Invariance and the Anisotropy of the Cosmic Microwave Background
- Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
- An Estimator for statistical anisotropy from the CMB bispectrum
- Local variance asymmetries in Planck temperature anisotropy maps
- Measuring Statistical Isotropy of CMB Anisotropy
- Could PBHs and secondary GWs have originated from squeezed initial states?
- Primordial tensor non-Gaussianities from general single-field inflation with non-Bunch-Davies initial states
- Probing the initial state of inflation: analytical structure of cosmological correlators
- Why should primordial perturbations be in a vacuum state?
- Gravitational Wave Spectrum in Inflation with Nonclassical States
- Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy
- Minimal cut-off vacuum state constraints from CMB bispectrum statistics
- Imprint of Inhomogeneous and Anisotropic Primordial Power Spectrum on CMB Polarization
- Non-Bunch-Davies Anisotropy
- Do Cosmological Perturbations Have Zero Mean?
- Constraining ultra slow roll inflation using cosmological datasets
- Inflation in Non-de Sitter Background with Coherent States
- CMB statistical anisotropies of classical and quantum origins
- Test for anisotropy in the mean of the CMB temperature fluctuation in spherical harmonic space
- A Test for the Zero Mean Hypothesis in Cosmology