Please run the "Memory Test" option from the boot menu. The screen should go blue and you should see something like this
Be patient - this will take a while. Let it run for maybe half an hour and see if it detects any problems with your memory. Initramfs is a ramdisk which is used to get a minimal system running, which is then used to load the rest of the OS. It looks like it failed on allocation of memory and this makes me suspicious.
Assuming no memory fault is found, try this:
At the boot screen press F6 again to show the boot options. As before, delete the "quiet splash", but this time replace it with noapic
. Again, make sure there is a space before the noapic
, and one between the [noapic] and the --
If the problem still persists, try again, this time using noacpi
The last two suggestions are total shots in the dark.
Perhaps also check that the CD is bootable from another machine, if you can get access to one - maybe the burn process didn't work well. I got a bad burn the first time I tried to install Gutsy and only using new media prevented it. I should use re-writable CDs less times I guess.