CMB anisotropy power spectrum of 3-sphere universe for low $l$
General Relativity and Quantum Cosmology
2020-12-16 v4 High Energy Physics - Theory
Abstract
We calculate the CMB anisotropy power spectrum of a closed universe for large angle (i.e., low ) due to a scale invariant fluctuation of primordial universe by considering the spherical harmonics for 3-sphere. In particular, contrary to the wide belief, we show that this consideration affects the CMB anisotropy power spectrum; instead of constant , our consideration results in the supression for , currently explained by the cosmic variance. As a more concrete proof of our analysis, from the low CMB anisotropy data \emph{alone}, we obtained , which agrees with from the previous anlaysis of WMAP+BAO+. Thus, we conclude that our Universe is closed.
Keywords
Cite
@article{arxiv.1808.10757,
title = {CMB anisotropy power spectrum of 3-sphere universe for low $l$},
author = {Youngsub Yoon},
journal= {arXiv preprint arXiv:1808.10757},
year = {2020}
}
Comments
6 pages, Omega_tot calculated