If you had two identical video cameras and started recording synchronized atomic clocks recording at the same speed and you put one on the spaceship and sent it out traveling at 99% of the speed of light for a while and left the other one on earth both recording the whole time, when the spaceship returned and you played back the recordings of the two clocks on monitors next to each other, would you see the recordings of the two clocks going at different speeds with one clock on earth appearing to move faster?
It seems that you wouldn't see the recordings being different or one recording longer than the other if the experience of the observer on the ship experienced reality at the regular speed the world usually unfolds to the observer, not slow motion, but if you looked at the two clocks they would have different times.
How does that work when you're watching the recordings of the same length and frame rate? The cameras are recording the whole thing yet the clocks are different.
I was thinking about time perception. Does the rate the brain is processing information speed up or slow down relative to an outside observer moving at different speeds, but the subjective experience of time passing for both remain the same?
Suppose there was a streaming video from the spaceship. Would they appear to be moving in slow motion in the video stream?
Would the length of the video be shorter for the recording on the ship?
Would the clocks appear to be moving at the same speed?
What would you see when you played back the videos next to each other?
There is something confusing about this.