I figured out what was wrong with it!
Apparently, if you have it sitting on your lap for too long, it will over heat and do this. Kind of unique response to over heating...I've seen computers freeze, BSOD and/or just flat out die from over heating but never turn on and off on their own.
So...this is one for the notebooks! Thanks a million for all the help!
Now I'm having trouble getting some drivers to work on the thing but that'll be a seperate thread. I'll create it and post a link here to it later on for anyone that is familiar with nVidia drivers. Thanks!!
I posted this originally on my cell phone (Android FTW!!) and didn't have time to read all the posts. The first 4 words in Lucas' post hit the nail on the head and earned him a rep point! I thought this could have been the issue so I let it sit for a while but it's still a really odd thing it was doin. Good call, Lucas!!
Here's the new thread for the drivers if anyone thinks they can help: