Time dilation, as described by the theory of relativity, is the phenomenon where time runs slower for objects that are moving relative to an observer or are in a strong gravitational field. While time dilation can affect the flow of time, it does not provide a direct means to send messages into the future.
However, there is a concept related to time dilation called "twin paradox," which can be used to create an apparent time difference between two individuals. The twin paradox involves one person (referred to as the traveler) traveling at relativistic speeds while the other person (referred to as the stationary twin) remains on Earth.
When the traveler returns from their journey, they would have experienced less time passing compared to the stationary twin. This difference in elapsed time is a result of the time dilation effect caused by the traveler's high velocity relative to the stationary twin. So, in a sense, the traveler would have "jumped" into the future compared to the stationary twin.
However, it's important to note that the twin paradox is a thought experiment and not a practical method for sending messages into the future. The time difference experienced by the traveler is a consequence of their relative motion, and no information or messages can be transmitted during this journey.
there are no known methods to intentionally manipulate time dilation to send messages into the future in a practical and reliable manner. Time dilation is a complex phenomenon that arises from the fundamental principles of physics and is typically observed in extreme situations, such as near black holes or at high speeds approaching the speed of light.