Thank you all guys. Many things start to fit, and a lot things to think about. "Proper acceleration" may be one key I was missing.
Fredrik, the proposed scenario may be unecessary complicated and may be simplified, but I was trying to know each step that allows it to happen. The hard thing...
Note that from B's perspective, when looking at C, B is standing and C is moving away. Analysing B and C only, imagining that A don't exist, even so is correct to say that B's clock run slower?
But acceleration isn't also relative? Let's say my car is accelerating over a road, isn't the same...
Alright, it seems correct to think that A and C clocks will mark the same time. But they should show less or more time than B?
Maybe what is confusing me is some more basic concept. Let's see this basic example:
I syncronize two clocks and send 1 clock in a spaceship to travel at near speed of...
Thank you Janus, your analogy is interesting. I'm still trying to get the concept, maybe the full understanding could be unreachable for me now, with my current background knowledge. But let me try one more question. If A, B and C syncronize their clocks before each one take their positions...
Sorry, but I have "complicated things" for a reason. You can't just remove things from my scenario and transform it into a regular example.
You said that A and C are equivalent. So, how do you explain that C's clock runs slower than B's clock, and B's clock runs slower than A's clock, which...
Imagine the following scenario:
There is a train, that crosses the entire planet, and has the length of the Earth diameter (has no start or no end, it's like a "ring").
This train has in the floor a treadmill that runs in the opposite direction of the train. Also, the treadmill has the length...