Witam,

On Thu, 25 Mar 2004, Andrzej Marecki wrote:

astro-ph/0403111

Date (v1): Thu, 4 Mar 2004 03:41:19 GMT (12kb) Date (revised v2): Fri, 12 Mar 2004 04:15:48 GMT (12kb) Date (revised v3): Mon, 22 Mar 2004 02:04:28 GMT (12kb) Date (revised v4): Wed, 24 Mar 2004 04:03:35 GMT (0kb,I)

Problems with studying topology of the universe via circles from cosmic microwave background data.

Authors: Evelise Gausmann, Reuven Opher Comments: This paper has been withdrawn

Here's their new abstract:

This paper has been withdrawn by the authors for future revision.

IMHO, the paper (e.g. v3) has a few misunderstandings of what other people had already done or explained.

- Their first point (Fig. 1) has been briefly discussed in my paper astro-ph/0007140, Section 2.1, for the COBE resolution.

- E.g. Fig 2 shows two regions e and f which add different signals to sky regions which should be multiply imaged. But this is what the authors have already referred to as "these problems can be minimized .." - integrated SW and foreground contamination, so they thought they had a new problem, which was different to ISW and foreground problems, but really they're talking about the same problem.

- They also state (2nd last paragraph) that "Cornish et al. [3] ... [make the] assumption that the k-mode fluctuations making contact with the circles are identical." If that were true, of course it would be a bad assumption by Cornish et al, but i'm sure they did not make this assumption.

My own argument (e.g. in section 1.2.1 of astro-ph/9910272) regards the assumptions about the statistics of the perturbations ("k-mode fluctuations") which may be sufficiently wrong to invalidate a simulation, but that's unrelated to making the statement that Gausmann and Opher made. In fact, the problem is that any eigenmode (or "k-mode") fills the whole 3-manifold, whether these are eigenmodes of the fundamental domain (which they should be) or of the covering space (which would be wrong), so it's not really clear what the authors were thinking when they wrote the sentence...

Anyway, it's good that people are thinking about the geometry.

pozd boud