Advanced Analysis: Deriving the formula for g
If you stand still watching the meson travel through the
detector,
then:
T_{y}^{2} (1 - V_{m}^{2}) = T_{m}^{2} |
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 = T_{o} |