# Far, far away?

If you have not done the previous set, I recommend you do it first.

Once we have the concept of synchronized clocks and a definition of how to relate the time coordinates of observers at different points we can define a distance. Let's choose a region of space with a family of observers moving through it, all with clocks synchronized by sending light pulses back and forth. Before when dealing with time we used the variable $$F$$ for Finn's time and $$A$$ for Aaron's time. Since we now have synchronized clocks, we can define a variable $$t$$ as the coordinate time which is a valid, well defined coordinate everywhere in the region of interest.

Consider the scenario where Finn and Aaron are communicating with light pulses. At time $$t$$$$_1$$, Finn sends a light pulse to Arron, who reflects is back, and is received by Finn at time $$t$$$$_2$$. Which of these is a possible definition for the distance $$x$$ between Finn and Aaron?

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