Many times people will see an asymptote and say "Hey, what would happen if I crossed that? What would the math and physics look like?"
Tachyons are actually a great example of this. Taking the relativistic mass equation and asking "What would happen if I allowed for speeds larger than the speed of light?" Science is more a process of elimination. What does the math say? Can we observe what the math says should happen? Repeat.
Well being a layman, I had no idea if I was joking or not. :)
Actually the idea of negative mass made me wonder if this would open the possibility for FTL space travel...Ran into a comment on the internets somewhere that said "no, because the mass is squared in the relation with energy, but the existence of imaginary masses might"
Tachyons are actually a great example of this. Taking the relativistic mass equation and asking "What would happen if I allowed for speeds larger than the speed of light?" Science is more a process of elimination. What does the math say? Can we observe what the math says should happen? Repeat.