Jane moves at v = -0.3c relative to Fred. gamma = general in this case ----------------- ------------------- Lorentz transforms: x' = gamma * (x - v t) = gamma*(x + 0.3 t) vx t' = gamma * (t - ----) = gamma*(t + 0.3 x) c^2 Event Fred Jane ------------------------------------------------------------------------ x= t= x'= t'= 1. Line of men starting at x=0, 1 m apart, raise hand at t = 0 man at x=0 0 0 man at x=4 4 0 man at x=8 8 0 man at x=12 12 0 2. Man at x=0 has cold. 0 0 At t = 5, coughs. 0 5 At t = 10, sneezes 0 10 3. Doggie runs across field at speed 0.2c to left. At t=0, doggie at x=8. 8 0 Dog barks at t=5 7 5 Dog barks at t=10 6 10 4. Bird flies to right at 0.9c. At time t=0, bird at x=-3. -3 0 Bird chips at t=0. Bird meets Dog 6 10 5. Man with cold flashes laser to right at t=8. 0 8 It strikes flower 3 seconds later. 3 11