- #1

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- 161

It's elegant and succinct, but I'm having trouble understanding the very last step. Using the Lorentz transformation, he gets this relationship:

##dt = dt^\prime \gamma (1 + \frac{v}{c} \cos \theta^\prime)##,

and I'm with him so far.

But then he ends up with:

##\nu = \nu ^\prime \gamma (1+ \frac{v}{c} \cos \theta^\prime)##,

where ##\nu## is the symbol for frequency.

This confuses me. Aren't frequency and period (i.e., time)

*inversely*proportional, meaning that ##\nu## and ##\nu^\prime## should switch places? Or is there some subtlety I'm missing about what the ##t##'s represent here, and how they relate to frequency?