If one was to travel with an acceleration of say 1G, then that would simulate gravity. If the acceleration lasts for nearly 2 years, then you would be travelling pretty close to the speed of light. My question is - as we know time slows down the faster we go, would this reduction of time show as linear or "s" shaped diffusion curve as the speed of light cannot be reached?
My second question is - when travelling close to the speed of light, would not the distance between two points be irrelevant from the point of view of the traveller as a 1000 light-year journey would only take a fraction of a second longer than a 10 light year journey? Thanks :)