Timeline for Transformation of $4-$velocity

7 events

when toggle format	what		by	license	comment
Apr 2, 2019 at 9:17	vote	accept	M.N.Raia
Apr 2, 2019 at 6:20	answer	added	Voulkos		timeline score: 3
Feb 16, 2019 at 6:02	history	edited	Qmechanic♦	CC BY-SA 4.0	added 16 characters in body; edited tags; edited tags
Feb 16, 2019 at 0:54	history	edited	M.N.Raia	CC BY-SA 4.0	added 1 character in body
Feb 15, 2019 at 17:56	comment	added	G. Smith		Equation (1) is missing a prime on the left hand side.
Feb 15, 2019 at 14:39	comment	added	Frederic Thomas		You already proofed $u^{\mu}$ being a Minkowski 4-vector in eq. (8) since $u^{\mu}$ transforms like $A^{\mu}$ in eq. (4) (taking into account the definition of $\Lambda^{\mu}_\nu$ one line above). However, $v^{\mu}$ does not transform like a Minkowski 4-vector because $v'^\mu= \frac{dx^{\mu}}{dt'}$ (note the little prime) and depending on the reference system $dt =d\tau/\gamma$ or NOT. However in your equation it is simply assumed that $dt =d\tau/\gamma$ always. That's the point. (On the other hand as you already said $d\tau$ is always the same independent on the reference system).
Feb 15, 2019 at 10:17	history	asked	M.N.Raia	CC BY-SA 4.0