🚀 go-pugleaf

If the elevator is accelerating, then after a long, long time its speed will
reach the speed of light then pass it.  I know that the problem here
has to do with the fact that F=mA is false when the speed approches 'c'.
In fact F approches infinity near 'c'.  So with a constant (or even increasing
but finite) force, wouldn't the acceleration necessarly slow down as the rider
approched 'c' and hence notice that he was in an elevator? 

In other words, with a constant acceleration eventually you would be going
at a speed of 'c' with no more acceleration therefore losing the 'gravity'
feeling.  Then is it impossible to simulate gravity via acceleration for
a 'long' period of time?