Is time travel really possible? I would think not.
The reason being that in the space-time continuum, we would always be at any given time at a particular space. In other words we would always travel both in space and time.
Therefore, I would think that if you travel back in time, you would travel in space as well. Hence, even if we found a way to travel back in time, we would be at some space - may not be on Earth, may not even be in Solar System.
Is my reasoning right?