I have never really found a way to comfortably comprehend the idea of time shift even though I know its not the hard part of relativity theory. In that light, can someone point out what is wrong or right about the following logic I'm thinking of here:
The scenario is:
There are four things in my universe: a wallclock, a flashlight, my wrist watch and myself. I shine the flashlight at my wrist which is in the same line of sight as the wallclock and see they two clocks are synchronized. Now my wristwatch, my flashlight and myself begin traveling away from the wallclock along the line of sight.
It seems to me that logically the light I'm running away from will take longer to reach my eye, so that means I would see the wall clock run slower, no?
But according to what I think I know, when a minute passes for me, more than a minute passes for the wall clock.
I just feel like I must be looking at it wrong. Any pointers are appreciated. This is just recreational thinking...