Advanced Analysis: Deriving the formula for g
|If you stand still watching the meson travel through the
Ty2 (1 - Vm2) = Tm2
Ty (1 - Vm2)1/2= Tm
This hyperbola still uses the same unit for distance as it does for time. Remember that you made velocity unitless so that you could express it as a fraction of the speed of light.
Take a look at the last equation.
To find the time in the meson's
frame, you simply take the time as you observed it in your frame and
multiply it by a correction factor. Physicists call this correction factor
where other observer's time = To