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Cosmological consequences of statistical inhomogeneity

Nov 2, 2024

14 pages

Published in:

Phys.Rev.D 111 (2025) 2, 023541

Published: Jan 15, 2025

e-Print:

2411.01331 [astro-ph.CO]

DOI:

10.1103/PhysRevD.111.023541 (publication)

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Abstract: (APS)

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 bispectra. A multitude of cosmological tests based on these spectra are discussed. We find that current cosmological data do not 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

μ

distortion of cosmic microwave background.

Note:

v1: 14 pages (including supplemental material), 2 figures; v2: made minor updates in discussions and added references, version to appear in Phys. Rev. D

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Figures(4)

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