I love experiencing deja vu, some of the experiences I've had stretch out to a good few minutes of "memory" of people's actions and words.
At first I thought it is actually the mind registering the situation a split second after it occured and therefore you think it already happened. But I've found it's not true in some deja vu situations when I can "recall" people doing things before they are going to do so in the current situation.
If deja vu is an insight to the future it goes to show that travelling into the very near future is possible though unpredictable.