One of the issues of going past the speed of light is that M is inversely proportional to the square root of $c^2-v^2$. So the faster one goes, the smaller the denominator gets, the bigger the M gets, the more energy it takes to accelerate ... with an asymptote of $v = c$.
So could there be a (logical) way to bump speed by, say, 100 miles/hour at a time, so you instantaneously go from just under the speed of light to just above the speed of light?
And if it would be possible, what would an $i$ length or mass mean physically?
I know that in our universe it's quite impossible. My question is would such a concept make sense?