Words are a very poor substitute for mathematics when it comes to physics, and we need to remember this when writing pop science articles. Time does NOT slow down for an object moving at relativistic speeds (remember relativity?). What happens is that time indices for the object APPEAR to slow down RELATIVE TO A STATIONARY OBSERVER. As the Lorenz transformation makes clear, time is relative to the perspective of the observer and thus, for multiple observers all moving relative to each other, there can be no single agreed time reference. But that is totally different from saying (incorrectly, as per your statement) that time slows down for objects moving at nearly the speed of light.