What happens if I don’t think?

So here I am, working on physics homework and I’m thinking about Descartes. More particularly, his statement “I think therefore I am.” Nothing entirely unusual. In my course of everyday activities, I often take human conundrums and apply them to computer issues and “I think therefore I am” is no exception to this rule. However, take the inverse of his statement: “I don’t think therefore I am not” which basically asks the question, If one does not think, does one cease to exist? If this is true, does one cease to exist merely for the time one is not thinking or does one disappear forever? Not that this has ever been an issue for me, my mind has always been going somewhere around a mile a minute…well really much faster than that, but you get the idea. I better get back to physics now, perhaps I’ll calculate the radial acceleration of electrons in the brain.