Hey there,
I'm just a bit confused by time dilation, specifically how it can be 'observed' on Earth like in the example of looking at a rocket travelling at c.
My textbook explanation is this "time dilation can be summarise as a 'moving clock appears to run slower'"
I find it a bit vague especially since all the previous explanations were about observing a light on a train by two people, one on the train and one outside on Earth. Also, just to quickly clarify with this example; time dilation is best observed by considering distances and how their apparent length varies with different frames of reference. Is it right to draw a connection between the two and hence say that if the distance appeared to increase then time dilation was observed (as t = d/c in both instances)?
Now back to the textbook definition, Is it just an accepted fact that when looking at something closely, time goes slower? I just don't understand how this definition helps with an understanding of time dilation (like at all
). So when, I try and apply this definition (key word being try haha) to the twin paradox I don't understand how the Earth twin is observing time dilation by seeing the 'spacecraft ticking more slowly than time on Earth.' Does the rocket appear to be moving slower than it actually is? If that's the case then I really don't understand time dilation at all.
IDK I guess i'm just looking for a clear explanation of time dilation so that I can better 'imagine' it /understand it practically through thought experiments.