National Geographic: Fake News?

[Thomas Okken]

(04-07-2019 01:34 PM)David Hayden Wrote:  I don't know if we'll ever travel through space like in Star Trek, but we might make phone calls that way. The theory of relativity says that you can't travel at the speed of light, but it doesn't say you can't travel faster.

The time dilation formula suggests you can't...
\[Δt' = \frac{Δt}{\sqrt{1-\frac{v^2}{c^2}}}\]
When \(v=c\) you get a division by zero, so that's clearly no good, but when \(v>c\), the time dilation (and relativistic mass) become imaginary, so how is that supposed to correspond to any physical reality?