Areal density of quasars (shorthand refs to papers in BAC's post):
E. M. Burbidge and G. Burbidge, 2002: 8.83 per square degree and ~10 (two different sources)
Zhu Xing-fen et al., 2001: N/A (the source paper seems unavailable)
Arp, 2007: 32.34 per square degree
G. Burbidge at al., 1990 (cited by Tomes): 20 per square degree (though this is somewhat unclear).
First, notice that the density estimate depends on the magnitude down to which it is made. For example, notice that in
http://www.journals.uchicago.edu/doi/abs/10.1086/311832 "A Group of Quasi-stellar Objects Closely Associated with NGC 1068, E.*M.*Burbidge, 1999" that Burbidge states "The QSO distribution in this field is striking: five QSOs, including two ROSAT sources, lie in a field 25' x 10' in area, four west and one east of NGC 1068, an areal density corresponding to 70 QSOs deg
-2, while the average areal density of QSOs between 18 and 19 mag is only 3 deg
[-2". You'll see that was the case in most of the cases I cited. And those ranges of magnitude do not all agree so one would expect variations.
Second, understand that the estimates were done at different times so it isn't a surprise to see some variation in densities.
Third, intrinsic redshift proponents are not the only ones that have come up with different areal densities. This is not just their *problem*. For example, note the quite disparate estimates in the two citations from this source that Wrangler quoted earlier:
Burbidge, Burbidge, Arp and Zibetti, "QSOs Associated with M82 ... snip ... These correspond to densities of 30, 41 and 51 per square degree respectively. Such densities are to be compared with those obtained in QSO surveys by Kilkenny et al. (1997) and Boyle et al. (2000) which give respectively 10 per square degree to 20m, and 25 per square degree for 18.25 < bj < 20.85 from the 2dF survey with the Anglo Australian Telescope."
Let me quote additional material from the sources I cited and others:
http://www.journals.uchicago.edu/doi/abs/10.1086/338856 "QSOs in the Field of the Seyfert 1 Galaxy NGC 5548, E. M. Burbidge and G. Burbidge, 2002, ... snip ... adding their numbers from B = 17.5 to 19.5, we see that they find 8.83 QSOs deg
-2, while Boyle, Jones, & Shanks (1991) give a plot in their Figure 7 similarly showing ~10 deg
-2 down to B = 19.5."
From "A Different Approach to Cosmology: From a Static Universe Through the Big Big Towards Reality" cited earlier, "However, when the dust settled it was clear that there is a population of radio-quiet quasi-stellar objects (QSOs), that far outnumbers the radio-emitting QSOs (QSRSs). The estimates of the density on the sky made in the 1960s of about 10-20 per square degree down to mB ~ 20 is still correct."
http://arxiv.org/pdf/astro-ph/0409215 "The Discovery of a High Redshift X-Ray Emitting QSO Very Close to the Nucleus of NGC 7319, Pasquale Galianni, E. M. Burbidge, H. Arp, V. Junkkarinen, G. Burbidge, Stefano Zibetti, 2004 ... The surface density of QSOs is well established to be about 5 - 20 per square degree down to 20 m and it begins to level off to about 50 per square degree at 21m."
http://arxiv.org/pdf/0706.0143 "A concentration of quasars around the jet galaxy NGC 1097, 2007, H. Arp ... snip ... A quasar search in the region of the active galaxy NGC 1097 yielded 31 quasars in 1984. ... snip ... Well determined redshifts of 31 quasars to slightly fainter than V=20.0 magnitude then became available and their distribution with respect to NGC 1097 was analyzed in Arp et al. (1984). ... After completion of the 2dF survey in 2004 the number of catalogued quasars just within 1 degree of the galaxy increased to 142. About 38±10 of these are in excess of average background values. ... snip ... When the 2dF survey was completed (Croom et al. 2004; Smith et al. 2005) a homogeneous survey of quasars down to apparent magnitude b= 20.85 mag. ... snip ... The 2dF survey quotes 23,338 QSO’s in a total survey area of 721.6 sq. deg. for an average density of 32.34 QSO’s/sq.deg. Within a circle of radius 1 deg. that would predict 101.6 QSO’s as an average background."
So perhaps there was a reason for the *apparent* inconsistency.
By the way, I'm still curious as to your comments about this study:
http://www.iac.es/folleto/research/p...es/PP06040.pdf "First tentative detection of anisotropy in the QSO distribution around nearby edge-on spiral galaxies, M. Lopez-Corredoira, C. M. Gutierrez, 2006". How do you dismiss their anisotropy concerns? Do you know of any papers specifically addressing this issue? You said it was a direct refutation of Arp's thesis. I guess you were referring to what they have to say about quasar densities. But what about the anisotropy they found in their study ... suggesting quasars are more likely than not aligned with the minor axes?
Likewise, how do you explain data suggesting quantization such as this:
http://arxiv.org/abs/astro-ph/0501090 . You dismissed this paper with a comment about how one defines "quasars". So why don't you now tell us exactly what you were trying to say with the comment. How exactly has Arp's, et. al., definition of quasars invalidated the conclusion that there is quantization of redshift?
And just because Bell used a source that said it wasn't a complete list of all objects doesn't necessarily invalidate the results. Perhaps the objects in that list were a somewhat fair sampling of the overall population of such objects. It's curious that author after author keeps arriving at the same or nearly the same quantization numbers. Do you completely rule out this possibility? And if so, based on what, exactly?
(And by the way, I'm not eliminating the possibility that there isn't some other reason than redshift can emitted by objects can only be near those values for explaining quantization. It could be that objects are predominantly at those redshift because there is an underlying structure to the universe that happens to put most objects at those redshift distances. Comment?)