Does Time Exist at the Speed of Light?

Space and time simply don't exist at and beyond the speed of light in vacuum. Therefore, taking the limit towards c simply reaffirms the two postulates. Since there is no valid reference frame at the speed of light in vacuum, there is also no way for an object with mass to ever go exactly the speed of light.

What happens to time at the speed of light?

Perhaps one of the most famous effects of special relativity is that for a human moving near the speed of light, time slows down. In this scenario, a person moving at near light speed would age more slowly. This effect is called time dilation.

Does time stand still at the speed of light?

At the speed of light, there is no passage of time.