Why does car die while driving and security light turns on?

While driving, the car will die for an instant then turn back on. When I say "dies", I mean that the engine shuts off including stereo but then everything turns right back on. I believe that the only light that turns on is the "security" light. It happens whether pushing on the gas or not, and high or low speeds. The only thing that I can remember happening prior to the incidents is that the cooling fan fuse would burn out every couple of weeks and I would replace it. It doesn't do that anymore but now has the current problem occuring every other time I drive. The factory security has been disabled for years because the remote broke and couldn't replace it.