Ok here is the help everyone needs that DOES NOT want to send they're PS3's back to Sony for what ever reason. FIX IT YOUR SELF!!!! HOW? Here's the answer....
By now we all know that error code 80010514 is a PS3's worst nightmare because this means that your lens (hardware) is broken (Diodes died on the blu ray lens). There are no Firmwares,Addwares,Updates, or anything else that has to do with SOFTWARE that can help this problem. The only thing you can do now is have it fixed my someone else, OR you can look up a couple of tutorials and fix it YOURSELF! It's quite simple only looks hard. You can do it with 2 screwdrivers and a knife. What you will need to buy are the following.
PS 3 20gb, 60 gb, and 80 gb, you need to buy part number KEM-400AAA or KEM-400A. Then go on Youtube (Thank God for YOUTUBE) and find how to replace your Bu-Ray lens.
If you have a 40 gb PS3 it gets a little trickier. See sony realized that people could now fix them them selves so they were not making as much money on selling the parts to repair shops or not making any money from suckers that for some reason or another didn't have their receipt so they won't fix it without you paying.
Anyway, if you have a 40gb PS3 you will have to open it before you buy this part because it can come with either KEM-400AAA or KEM-410ACA. The KEM-400AAA comes with one lens and the KEM-410ACA comes with two lenses. My guess is that they did this so they can get the money buy selling these parts or fixing it themselves. Well I THINK that the KEM400AAA comes in the older versions of the PS3 40gb. But you will have to check yourself on that. Look at the tutorial, follow the steps and check which one you have then just buy it off of ebay ($40.00 to $80.00) take off a few screws and fix it.
Here's the link to how to open your ps 3 video. Do some research before you guys go crazy sending stuff to sony which will only send you a refurbished ps3 that belonged to someone else and it was broken and they fixed already with USED parts. If you replace your part with a NEW one then your PS3 is still NEW not refurbished.
Good luck to all and I'm happy to tell you this worked just fine for me.
I have a PS3 40gb that got the death code 80010514 3 months after I bought it and it came with the KEM-400AAA I looked at youtube followed how to disassemble it and changed it, and they have a how to re assemble for those of you that can't remember what screw goes where.
YouTube - Disassembling PlayStation 3