/sci/ - Science & Math

>>11103105
Say Bob is moving at speed
beta=v/c,
with v<c, relative to you.

When T=1 second has passed for him, then on your "now" plane,
t = T · gamma = T /sqrt(1-beta^2) > T
(e.g. t=1.25*T, see pic)
seconds will have passed for you.
He's at the position P,
x = T · gamma·v/c
away from you at this point.

If he sends a signal, then the signal will just travel at the speed of light towards you (45° lines in the diagram).

So if he's controlling the beeper, sending away messages and does it at 1 second interval (on his clock), then from your perspective it will seems like he's taking more than 1 second to send each beep.