No, it's on the record. I have some friends who sometimes fly around in the south, and they tell me they have to reset their watches. It's a well-known phenomenon down there.
You mean they have to change their watches by some fixed time, usually a whole number of hours? A fixed amount that remains the same every time you go from location A to B, and negates when you go from B to A? I just want to make sure that you're describing something beyond time zones here.
Just to be clear, in your scenario, were time moving at a different rate in different parts of the world, it would not be sufficient to add or subtract a fixed number of hours from the current time. You would have to do this
and change the rate at which your clock keeps time. Also, the amount you add or subtract would not be constant based on where you're traveling to and from but would change depending on how much time you spend at that location.
Spend some time looking at this site
http://www.timeanddate.com/ and try different locations. You will see that they are not doing this.