Lorentz transform Definition and 57 Threads

I tried to represent the Lorentz transform which converts a pair of space-time co-ordinates (ct,x) to (ct',x') as a function of a complex variable i.e ct' + ix' = f(ct + ix) Unfortunately the rules of complex algebra do not permit this because the complex product is defined as (a +...

derivating a from v (lorentz transform) u is the velocity in the +x direction u=(u-v)/(1-vu/c^2) a=du/dt dt=I know du=?

derivating a from v (lorentz transform) u is the velocity in the +x direction u=(u-v)/(1-vu/c^2) du? how do you du the right side of the eq? :confused:

:confused: derivating a from v (lorentz transform) -------------------------------------------------------------------------------- v'=(v-u)/(1-vu/c^2), then dv'=? is it (dv-u)/(1-udv/c^2)?

v'=(v-u)/(1-vu/c^2), then dv'=? is it (dv-u)/(1-udv/c^2)?

Hi everybody, I would need to find the lorentz transform for angles from primed to unprimed system. Could someone help fast? Thanks a bunch, best, Lorentzf

I am new to this matter, but I was reading a problem about how as the muon travels at .98c, that it's half life is increased by an approximate factor of 5. What I have trouble with is when using the Lorentz transform, why time dilation is calculated in the moving system at the same X and V...