- #1
bernhard.rothenstein
- 991
- 1
Textbooks devoted to the subject present separate derivations for the twoLorentz-Einstein transformations which relate the space-time coordinates of the same event E(x,0,t) and E'(x',0,t')
x=g(x'+Vt') (1)
t=g(t'+Vx'/cc) (2)
Equation (1) can be derived directly from length contraction
xg^-1=x'+Vt') (3)
Dividing both sides of (1) by c and taking into account the synchronization of the clocks in the involved inertial reference frames (x/c=t,x'/c=t',t'=x'/c) we obtain
tg^-1=t'+Vx'/cc (4)
i.e. (2).
Did you find that derivation in the literature? Please comment.
sine ira et studio
x=g(x'+Vt') (1)
t=g(t'+Vx'/cc) (2)
Equation (1) can be derived directly from length contraction
xg^-1=x'+Vt') (3)
Dividing both sides of (1) by c and taking into account the synchronization of the clocks in the involved inertial reference frames (x/c=t,x'/c=t',t'=x'/c) we obtain
tg^-1=t'+Vx'/cc (4)
i.e. (2).
Did you find that derivation in the literature? Please comment.
sine ira et studio