A spatial correlation analysis for a toroidal universe
Abstract
The spatial cross-correlation function xiC recently introduced by Roukema et al. is applied to the equilateral toroidal topology of the universe. Several CMB maps based on the WMAP 5yr data are analysed and a small likelihood in favour of a torus cell is revealed. The results are compared to ten LCDM simulations which point to a high false positive rate of the spatial-correlation-function method such that a firm conclusion cannot be drawn.
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