[ T'' ] = [ T ] [ T' ](adsbygoogle = window.adsbygoogle || []).push({});

[ T'' ] =

[ ( γ'' ) , ( - γ'' β'' ) ]

[ ( - γ'' β'' ) , ( γ'' ) ]

γ'' = γ γ' ( 1 + β β' ) → no problem, proven to be b/w [ 1 , ∞ )

β'' = ( β + β' ) / ( 1 + β β' ) → can't figure out how to prove it's b/w [ 0 , 1 )

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# How to prove that relative speed between a pair of Lorentz transformations is < c ?

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