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I'm not completely sure were this post must be (math or here).
But i got a question, I want to define velocity, momentum and energy. These looks like a simple task but let me explain the problem.
I'm working in the Minkowski space, and the lorentz transformations (just geometrical one's) and i can only use geometrical arguments.
For example, if we got a lorentz transformation, we could define the velocity of the frame of reference (respect one that is quite, like a lab) as
u_i = -delta_i^4/delta_4^4
where delta^j_i is the (j,i) coeficient of the lorentz transformation.
(Extract from The Geometry of Minkowski spacetime. Naber. Springer-Verlag)
I'm completely sure these work it could be found at wikipedia (some time ago i found it there) but i don't know why i can't find it now.
If somebody could help me I will be very pleased, if you only read this thanks anyway.
(sorry if my english is not good enough)
But i got a question, I want to define velocity, momentum and energy. These looks like a simple task but let me explain the problem.
I'm working in the Minkowski space, and the lorentz transformations (just geometrical one's) and i can only use geometrical arguments.
For example, if we got a lorentz transformation, we could define the velocity of the frame of reference (respect one that is quite, like a lab) as
u_i = -delta_i^4/delta_4^4
where delta^j_i is the (j,i) coeficient of the lorentz transformation.
(Extract from The Geometry of Minkowski spacetime. Naber. Springer-Verlag)
I'm completely sure these work it could be found at wikipedia (some time ago i found it there) but i don't know why i can't find it now.
If somebody could help me I will be very pleased, if you only read this thanks anyway.
(sorry if my english is not good enough)