Does anyone know the status of comparison between eigenmodes of spherical space and CMB map? Is there new result?
http://arxiv.org/abs/gr-qc/0205009
I have read at the CMB researchers' web site detailed descriptions of their analysis, how the measured data had local stars and galaxies removed from the data. And I recall one web site included harmonic modes of spherical vibration diagrams.
I recall reading the same at SciAm.com, most likely. This article compared predicted density variations for the first through fourth harmonics to the collected data, and showed the harmonic density change was most likely present in the data, and subtracting these changes, still left the remaining CMB evenly distributed.
I'd like to reread these 'lost' articles, so if you find them, please post back here. Given the recent theories on CMB being able to be measured as a result of cosmic dust, not related to the Big Bang, I wish to review these things, in the next year, before newly collected data is talked about.
Dear Peter, thanks for your answer. As far as i know, there are only few papers published on this issue. See for example: http://arxiv.org/abs/astro-ph/0601433.
You can find some papers by Luminet from OBSPM.fr discussing cosmic topology. Actually they try to connect between eigenmodes of spherical space with tology of space, but allow me to ask: is it possible to use the same method to find out vibration of early universe? And if yes, does it have connection with the so-called Sakharov oscillation? Best wishes
@Peter: here is the latest report by Prof. Luminet on cosmic topology: http://arxiv.org/abs/1310.1245. But he does not touch on the topic of vibration of eaRly universe.
My opinion on "Eigenmodes of 3-dimensional spherical spaces and their application to cosmology": Eqs.(22), (20), (11) do not hold for arbitrary chosen left hand side, because not any function one can present as sum of orthogonal functions: is there shown, that these spherical harmonics do present any possible function?
@Victor: Thank you for the citations on a different way to analyse CMB data, that is not in the popular literature. I've scanned them, and realized my post was off topic. The harmonics I referred to were used to subtract 'vibrations' from the raw data. To answer your question, perhaps the papers, here up to 2011: http://inspirehep.net/record/920248/references that might interest you, as they do me.
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