A search for cosmic topology in the final WMAP data
Ralf Aurich, Sven Lustig

TL;DR
This paper searches for signs of a multiply connected universe in WMAP 9-year data by analyzing matched circle pairs in CMB maps, considering pixel resolution and noise effects, but finds inconclusive results.
Contribution
It introduces a method to optimize the detection of matched circle pairs in CMB data considering pixel resolution and noise, and applies it to WMAP data to search for cosmic topology.
Findings
A tentative circle pair signal was identified near the Galactic plane.
No conclusive evidence for cosmic topology was found due to potential foreground contamination.
Methodology helps refine searches for cosmic topology in CMB data.
Abstract
A search for matched circle pairs of similar temperature fluctuations in the final WMAP 9yr data is carried out. Such a signature is expected if the space of the Universe is multiply connected. We investigate the relation between the pixel resolution of cosmic microwave background (CMB) maps and a Gaussian smoothing in order to lower the probability for missing matched circle pairs. CMB maps having the 3-torus topology are generated with the characteristics of the WMAP satellite in order to determine how large the smoothing should be chosen in CMB maps disturbed by detector noise. The V- and W-band data are analysed with respect to matched circle pairs and a tentatively signal is found for a circle pair, which lies, however, close to the plane of the Galaxy. It is, however, inconclusive whether this signal is generated by chance, is due to residual foregrounds contained in the V- and…
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