If instantaneous teleportation were possible between astronomically distant locations, the concept of time dilation as described by the theory of relativity would not apply in the traditional sense. Time dilation arises due to relative motion or gravitational fields, and when teleportation allows for instantaneous travel, there is no relative motion or acceleration involved.
In the theory of relativity, time dilation occurs when an object moves relative to another observer or experiences different gravitational fields. The faster an object moves or the stronger the gravitational field it experiences, the more significant the time dilation effects become. However, if teleportation allowed for instantaneous movement from one location to another, there would be no relative motion or change in gravitational fields during the teleportation process.
In such a scenario, an observer who teleports between astronomically distant locations would not experience any time dilation effects during the teleportation itself. The observer would instantaneously move from one location to another without the passage of time or the effects of motion on time.
It's important to note that the concept of instantaneous teleportation as described here is purely hypothetical and currently beyond the realm of our scientific understanding. The theory of relativity remains our best understanding of space, time, and motion, and it describes the effects of time dilation in scenarios involving relative motion and gravitational fields.