A spatial correlation analysis for a toroidal universe
Ralf Aurich
TL;DR
This study applies a spatial correlation method to WMAP data to investigate a toroidal universe topology, finding a slight indication but ultimately inconclusive results due to high false positive rates.
Contribution
It introduces an application of the spatial cross-correlation function to CMB data for detecting universe topology, highlighting its limitations.
Findings
A small likelihood favoring a toroidal topology was observed.
High false positive rate limits definitive conclusions.
Method shows potential but requires refinement.
Abstract
The spatial cross-correlation function xi_C 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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