1) The relationship between clouds and cosmic rays, pretty much ignores all
other sources of particles that form cloud condensation nuclei CCN. Factors such as ENSO, volcanoes
and other anthropogenic influences are deemed not to be important.
2) The correlation seems to only be found in low cloud coverage between 1985
and 1994 as measured by satellites. The correlation disappears after 1995,
although the proponents say thats because there is a calibration issue.
However surface observations suggest otherwise. More damning is that for
the last 10+ years there have been papers that showed that cloud variations
over multi year timescales are not reliable from the satellites due to
changes in the number of satellites and their orbits. So calibration is an
issue... for the entire dataset though!
3) Cosmic rays have no overall trend over the last 30 years, whilst
temperatures have increased significantly.
4) A recent experiment claimed to show that gamma radiation could form ions
that form ultra fine particles. It did not show, as a press release stated,
that cosmic rays could form CCN. Evidence that radiation could form ultra
fine particles in the air is many decades old, but it's importance is not
been shown compared to other sources.
4) There are a number of other arguments... I would recomend looking at
www.realclimate.org5) However the link of cosmic rays to clouds is physically plausible, e.g.
Giles Harrison has some interesting research at Reading on this, but the
size proposed by some people is highly exagerated.