India is about 8.5 hours ahead of US. If some person starts from India at 9 pm(according to his wrist watch) and reaches US in 2 hours(just assume),at that time his wrist watch will b showing 11 pm but as he his in US so he will have to match his watch according to US time so he will adjust his watch to 4:30 pm.This means that he is goin to live those 6.5 hours again in his life,but this time in US.So can this be considered as time travel or i am wrong.Please explain.
Time Travel does not mean going from one time zone to another. You did not get those 6.5 hours back again, they just appear to be back to you because you entered a different time zone.
I think this definition of Time Travel by David Lewis’ is perfect and will explain why you are wrong: An object time travels if and only if the difference between its departure and arrival times as measured in the surrounding world does not equal the duration of the journey undergone by the object.