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Minkowski-diagram speed addition

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Suppose we consider a Minkowski diagram of a moving frame O' with speed v towards O

 

We consider a moving particle with speed v1 in O. How to determine and What is the speed in O' ?

 

a) We get co- and contra- variants coordinates.

b) we get an angle

 

Can this be decided by the speed addition formula ?

 

(a) implies that even a 1-dimensional speed is a vector, so the norm squared should be co- times contra-variant ?

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