According to our current understanding of physics, as described by Einstein's theory of relativity, time dilation occurs when an object moves relative to another at speeds approaching the speed of light. Time dilation means that time appears to run slower for the moving object compared to a stationary observer.
In the context of faster-than-light (FTL) travel, such as hypothetical warp drives, the situation becomes more complex. According to our current knowledge, objects with mass cannot travel at or exceed the speed of light in a vacuum. Therefore, the conventional time dilation effects associated with relativistic speeds do not apply in the same way to FTL travel.
Warp drives, as seen in science fiction, typically involve the manipulation of spacetime to create a "warp bubble" or a distortion in the fabric of spacetime. This concept suggests that instead of the spacecraft itself moving faster than light, the space around it is contracted in front and expanded behind, effectively "warping" the spacetime.
Since the theoretical details and mechanics of a functioning warp drive are not fully understood or realized, it is challenging to make definitive statements about the effects on time. Various theoretical proposals and models suggest that a warp drive could potentially allow for faster-than-light travel by manipulating spacetime. However, the specific time dilation effects within a warp bubble are speculative and depend on the particular theoretical framework used to describe the mechanism.
In summary, our current understanding of physics does not provide a clear picture of the time dilation effects within a warp bubble or during hypothetical faster-than-light travel. It is an area of active research and speculation, and any definitive conclusions about time dilation during FTL travel would require advancements in our understanding of physics and the development of a viable theoretical framework for such travel.