This acronym expands as "Nearly As Fast As Light".
NAFAL drive ships use the time dilation effect as stated by Einstein's theories: a ship that moves at a speed approaching the speed of light will appear to move outside of time. Those on board will experience that only a short period of time passes by, while those outside of the ship will experience of a far longer period of time.
As an example, a four light year journey feels like ''a few hours'', but in fact it takes four years. The
Gum travels 256 light years in 10 hours 29 minutes. (
Vaster Than Empires and More Slow)
Obviously, this causes some rather interesting problems: when you go somewhere, and then return to wherever you left from, you may have aged hardly anything, but those who stayed home have aged several years.