Yosemite boots to barred circle
tl;dr version: Installing Yosemite has borked my computer to the point where restoring from Time Machine does not fix it. It boots to a barred circle and that's it.
I installed Yosemite two days ago. The install did not go well. There was a period where I had multiple kernel panics, one after another, repeatedly, creating reboot after reboot after reboot. It was only after a dozen of them that I realized (hearing the optical drive reset from the other room) that something was wrong. It's a good thing I have the optical drive, because the installer turned off my boot chime - without that, it might have rebooted continuously for an hour before I noticed.
Once I restarted the install continued, and as many other people are reporting, the install took forever. Then it got stuck in the barred-circle symbol. It reliably gets to that on each reboot now. I tried using Disk Utility. It went to the barred circle. I tried reinstalling. It went to the barred circle. I restored from my Time Machine backup and it still won't boot, which is infuriating. I backed up my computer and I'm still paying for the mistake of installing Yosemite. I still get the barred circle. I'm writing this from Safari in my restore partition because the restore partition is all I can get to on this computer any more.
Needless to say, Yosemite is not my operating system of choice at this time. Any suggestions?
OS X Mavericks (10.9.5), 2.4 GHz Intel Core i7, 8 GB RAM