by Qev » Tue Apr 25, 2006 4:50 pm
Yes, all objects moving relative to each other in spacetime would observe slight time dilation effects, but unless they're moving at
very high velocities, it'll be pretty much insignificant.
For example, a 'stationary' observer who experiences a certain amount of time, T, watching a fast-moving object go past, will see that object's clock experience a smaller amount of time passing T(1), according to:
T(1) = T * sqrt( 1 - ( v / c )^2 ), where v is the object's velocity, c is the speed of light, and T is the amount of time measured on the observer's clock.
If the object is moving at exactly the speed of light (only possible if the object is a photon), then this goes to zero, meaning the observer sees the object experiencing no time passing whatsoever.
So, for the New Horizon's probe, travelling at 75000km/h relative to us, for every second we experience here on Earth, we would observe it experiencing 0.99999999759 seconds. Which amounts to one whole second of difference in our clocks after approximately thirteen years and two months.
Yes, all objects moving relative to each other in spacetime would observe slight time dilation effects, but unless they're moving at [b]very[/b] high velocities, it'll be pretty much insignificant.
For example, a 'stationary' observer who experiences a certain amount of time, T, watching a fast-moving object go past, will see that object's clock experience a smaller amount of time passing T(1), according to:
[b]T(1) = T * sqrt( 1 - ( v / c )^2 )[/b], where v is the object's velocity, c is the speed of light, and T is the amount of time measured on the observer's clock.
If the object is moving at exactly the speed of light (only possible if the object is a photon), then this goes to zero, meaning the observer sees the object experiencing no time passing whatsoever.
So, for the New Horizon's probe, travelling at 75000km/h relative to us, for every second we experience here on Earth, we would observe it experiencing 0.99999999759 seconds. Which amounts to one whole second of difference in our clocks after approximately thirteen years and two months. :)