It does sound like it could be hardware rather than os related Turin. I agree that it could be worthwhile reseating components. Perhaps boot into safe mode & see if it stays alive. Perhaps run memtest, check temperature etc. from there.
Fwiw, my xp box at work crashes without any kind of system reporting every twenty minutes or so. It's the graphics card & while I'm waiting for the replacement to turn up, I'm doing a lot of saving, along with wringing of hands & gnashing of teeth.