According to the theory of special relativity, when an object is traveling at or close to the speed of light, it experiences a phenomenon called time dilation. Time dilation means that time appears to pass more slowly for the moving object relative to a stationary observer.
From the perspective of an object moving at relativistic speeds, it would indeed perceive other objects as appearing to move more slowly. This effect is known as "relativistic time dilation." The faster the object moves relative to the observer, the greater the time dilation effect.
For example, if a spaceship were traveling at a significant fraction of the speed of light relative to a stationary observer, time aboard the spaceship would appear to pass more slowly compared to the observer's time. Consequently, the spaceship's crew would perceive events happening outside the spaceship, such as the motion of other objects, as occurring in slow motion.
On the other hand, from the perspective of the stationary observer, it would observe the spaceship and its crew as experiencing time dilation. The crew would appear to be moving in slow motion relative to their normal perception of time.
It's important to note that this effect arises due to the relative motion between the observer and the moving object. Each observer, whether stationary or in motion, experiences time passing normally in their own frame of reference. It is the comparison of time between two relatively moving frames that reveals the time dilation effect.
In summary, when an object is traveling at or close to the speed of light, both the moving object and the stationary observer would perceive time dilation. The moving object would observe other objects as moving more slowly, while the stationary observer would see the moving object as experiencing time dilation and appearing to move more slowly.