According to the principles of special relativity, time dilation can indeed cause a clock to run slower when observed from a relatively stationary reference frame. However, it is not possible for time dilation to cause a clock to run faster relative to a stationary observer.
Time dilation occurs due to the relative motion between two observers or the presence of gravitational fields. When an object or observer is moving relative to another, time appears to run slower for the moving object as observed from the stationary reference frame. This effect is known as "time dilation."
The fundamental concept behind time dilation is that the passage of time is not absolute but depends on the relative motion or gravitational potential between observers. The faster an object moves or the stronger the gravitational field it experiences, the greater the time dilation effect.
However, it's important to note that time dilation is always observed as the clock of the moving object running slower relative to the stationary observer. This is a consistent effect predicted by special and general relativity. Time dilation cannot cause a clock to run faster compared to a stationary observer, as that would violate the fundamental principles of relativity.
So, in summary, time dilation can cause clocks to run slower, but it does not have the ability to make a clock run faster relative to a stationary observer.