Abstract: For more than a half century cosmologists have been guided by the assumption that matter is distributed homogeneously on sufficiently large scales. On the other hand, observations have consistently yielded evidence for inhomogeneity in the distribution of matter right up to the limits of most surveys. The apparent paradox can be understood in terms of the role that paradigms play in the evolution of science.
http://arxiv.org/ftp/arxiv/papers/0805/0805.2643.pdf
WMAP catastrophe
This month, we’ve chosen to highlight a paper that is causing a stir in cosmology. Serious doubt is cast upon the validity of the entire body of WMAP analysis. Thanks to Eric Lerner for the following analysis:
An important new paper shows that there are serious errors in the WMAP team’s analysis of the satellite’s data. The new paper, Observation number correlation in WMAP data By Ti-Pei Li et al, which has been accepted by MNRAS, shows that a spurious apparent temperature is introduced into the map of the CMB by the WMAP team’s analyses. As a result, the conclusions based on this analysis, including the widely-publicized supposed agreement with some predictions of the dominant LCDM cosmology, are thrown into doubt. Li et al’s recent paper on WMAP observation number effects arXiv 0905.0075 is a follow-up to Liu and Li’s earlier paper on the same subject, 0806.4493, which was reported in this newsletter, but whose significance was not fully recognized at the time.
WMAP mapped the tiny variations of anisotropies in the CMB by comparing the inputs of two receivers or horns placed 141 degrees apart, as the satellite spun and scanned the entire sky. Complex mathematical procures were used to transform these differences in inputs into a map of absolute temperature or intensity at every point in the sky. In outline the authors argue that:
1. The way temperature is calculated by the WMAP team based on the differential between the two WMAP horns is in error, as is best explained in the Li et al paper. When the number of observations of a given pixel by the “plus” horn (the number of times that point in the sky is scanned) is different than the number of observation by the “minus” horn, there is a spurious temperature added, dependent on transmission imbalances, which are different for different bands. (Esq. 5 and 6 of Li et al). These spurious temperatures, up to 10-20 micros K are clearly shown in figure 3, which shows the pixel-by-pixel correlation of the
2
difference in observation number and temperature. This spurious temperature, dependent on observation number, in turn produces a spurious fluctuation in temperature which is dependent on the number of observations. The number of observations in turn is a strong function of declination. See figure 2 of Liu and Li, which tells the story very well. Li explains procedures by which the raw data can be re-analysed to eliminate these artefacts.
2. The method by which WMAP temperatures are calculated also does not accurately correct for the fact that pixels 141 degrees way from hot spots are measured too cold. In Liu and Li, p.18, they show that pixels 141 degrees away from the 2000 hottest pixels in the map are on average 12-14 micro Kelvin cooler than average pixels, depending on the band. This is several hundred times above the expected random variation. Since each circle contains 15,000 pixels spread across a good section of the sky, the average temperature should be very close to the average of the whole sky. This is even truer for 2,000 such circles. But that is not what Liu and Li found.
So, from these papers, it seems that there are spurious temperature anisotropies that are comparable with the entire anisotropy found in the WMAP team’s maps. Therefore the entire analysis of cosmological parameters based on these maps is wrong. Indeed it seems very puzzling that an analysis that is so contaminated with errors should come up with parameters anywhere near those expected by LCDM models. The fact that the Li et al paper was accepted by MNRAS is perhaps an indication that some of the leading journals are becoming more open to work that challenges conventional assumptions in cosmology.
13. Title: Observation number correlation in WMAP data
Authors: Ti-Pei Li, Hao Liu, Li-Ming Song, Shao-Lin Xiong, Jian-Yin Nie
arXiv:0905.0075
http://www.cosmology.info/newsletter/2009.06.pdf