Ok i see this topic has been discused before but there are a few things i dont understand, well alot actually so ill start with this an we will see if i make sence...
So say i can travel half the speed of light and i have an atomic clock an so does the observer. now i travel for exactly 8 hours from earth. Now as im traveing i look at my clock it ticks over same time as normal the obsever if he looks at his clock it is ticking away same time as normal.. now lets say he can see me traveling at half the speed of light he watches me leave and come back... now the thing i cant work out is how does he lose time.. now lets say he can see my clock while i am traveling. as iv read his clock would look like its going slower to the observer an visa versa. Now im going to asume this is because of the time it takes for him to see the change in my clock because im is traveling away from him half the speed of light so therefor he would only see the clock going half its normal speed right now the further i get away the longer it will take for him to see the time change because im traveling half the speed of light..(i hope im mkeing sence) Now when i look at my clock i would see it going like normall.. ok so say i turn around and come back as i get closer to him my clock will speed up to the obsever. so say its been like him looking at a still shot of my clock while im traveling away its takeing time for the changes to reach me.. ok so my point here is where do we lose the time. because im only traveling half the speed of light from earth but from my craft you could say the universe or earth is traveling away from me an im really the one not moveing so there for his clock will be the one going at normal time an mine is going slow... ok thats all i have to say for now i hope you can see the point im trying to make here and im not as smart as alot of you people on here so im haveing trouble understanding this so if someone could try explain it an explain how the time can change. and even if u could show me a link to a site where someone has proved time dilation. Thanks to anyone that can reply an to those who took the time to read this an become possibly confused...