Sony say they have now fixed the worldwide PlayStation 3 problem. So that was a nice PS3-free 24 hours for most of the world then!
I was absolutely right - it was caused by PS3's wrongly thinking this year was a leap year, and then crashing when they discovered it wasn't February 29th after connecting to the PlayStation Network yesterday. Double Triple Doh!!!
Apparently you can all now safely switch on your PS3's and connect to the PlayStation Network, and the bug should go away automatically. If it doesn't, you will be able to reset your system clocks yourselves now, and that will fix everything.
Personally, I'd suggest selling your PS3 and getting yourslf a Nintendo Wii instead - Super Mario Galaxy 2 is due out this year, which will be the best game ever, for sure.