How lorentz transformations work.

Question

It's the correct transformation for going from one frame to another i mean moving frame

Answer 1

Yes, Lorentz Transformations (LT) relate (transform) 4-coordinates (t,x,y,z) of an Event as recorded from an Inertial Reference Frame (IRF) K and the 4-coordinates (t',x'y'z') of the SAME Event recorded from an IRF K' that moves relative to K with a constant velocity V

If we assume that K' moves along x-axis then using the usual notations β=V/C (C-invariant speed (called usually the speed of light in vacuum)) ; γ=1/(1-β²) the LT would have the form

t=γ(t'+βx'); y=y' ; z=z' ; x=γ(x'+βt')

Dr. Ariel B.