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The size of the Universe according to the Poincaré dodecahedral space hypothesis

2011/06/30 by Boudewijn F. Roukema, Tomasz A. Kazimierczak
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Computer science #Cosmology and Gravitation Theories #Dodecahedron #Geometry #Mathematics #Physics #Relativity and Gravitational Theory #Space (punctuation) #Theoretical physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1051/0004-6361/201117403

published as Astronomy & Astrophysics 533 (2011) A11 · 7 pages, 1 table, 7 figures, accepted, Astronomy & Astrophysics; v2: minor improvements

openalex publication_date 2011/07/22 · arxiv created 2011/07/25 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Context. One of the Friedmann-Lemaître-Robertson-Walker (FLRW) models that best fits the Wilkinson microwave anisotropy probe (WMAP) sky maps of the cosmic microwave background is that whose comoving space is the Poincaré dodecahedral space. The optimal fit of this model to WMAP data was recently found using an optimal cross-correlation method. For geometrical reasons, there was concern that systematic error in the estimate of the matched-circle (observer-centred) angular radius α, or equivalently, the (comoving) size of the Universe 2rinj (twice the injectivity radius), might be much higher than the random error.

Citations