It's been a long time since I studied physics (and then only very superficially), so please bear with my gross naivete. This question's been running around in my head for about two weeks now, and I need a real physicist to set me straight.
Provided that the following are all valid:
- Mass increases with velocity.
- Mass generates a gravitational force.
- As mass increases, so does its gravitational force.
- As an object accelerates, so does its gravitational force, due to the increase in its mass.
Time passes faster as the gravitational force increases.
Wouldn’t time for a person traveling near the speed of light seem to pass faster, rather than slower than that of a person on Earth? Edit: No. Time passes slower in a larger gravity well. (Thanks, Jim.)
Also, wouldn’t such an individual exert a gravitational pull on objects he or she passed, dragging them along behind him or her to their destination (provided they achieved sufficient mass)?
I'm assuming, at this point, that one or more of my assumptions are wildly inaccurate. Please, feel free to correct me.