Einstein's time formula

[spacecadet2563]

TL;DR

Einstein's time formula & the √-1

In his formula if V were 2C than that fraction reduces to 2 and the result is a √-1 in the denominator. How is that to be interpreted in a time formula?

 

[Ibix]

You can't travel faster than $c$. So your question is "how should I interpret some maths I've applied in a regime where the same maths says I can't reach".

 

[Dale]

In his formula if V were 2C than that fraction reduces to 2 and the result is a √-1 in the denominator. How is that to be interpreted in a time formula?

Einstein came up with a lot of formulas. Do you mean the time dilation formula: $$\gamma = \frac{1}{\sqrt{1-v^2/c^2}}$$

If so, for $v=2c$ the denominator is $\sqrt{-3}$ not $\sqrt{-1}$. So it is unclear if you made a mistake in the calculation of the above formula or if you were referring to another formula.

 

[Nugatory]

How is that to be interpreted in a time formula?

That’s how the math tells you that you’re misapplying it. The formula is only valid for $v\lt c$.